11 years later and this debate is still being had....when this video came out I thought it was the death blow to the "staircase" argument. Man was I wrong. Lol For some reason, people feel the need to justify listening to technically inferior formats. I love listening to vinyl just as much as CD or streaming despite its flaws. I wish more people could just admit that
This definitively is the best video on this topic I have ever seen. Very instructive with excellent experimental set up and great visual overlays. It's hard to believe that even after this video people keep on spreading the well-known myths in digital audio. I would love to see more of this video's by Monty!
NOTE: You can't hear dithering under normal listening conditions. It does not impart anything 'obvious' to a recording other than replace one very low level distortion (quantizing error) with another very low level noise - 'hiss' of varying tonalities depending on the type. Dither is so quiet in order to hear it you need to crank the volume on the audio and the passage being monitored must be using only a few bits resolution (i.e very close to the noise floor).
This man is a genius. I can't tell you how many producers and audiophiles have no idea what they are talking about as it relates to the topics in this video. Thank god for those with actual engineering capability.
I am an electrical engineer myself and this presentation is really top notch! We hear/read so much plain false stuff about audio and the famous "Analog vs Digital" debate... Cool if people prefer analog gear, it's "colored" a certain way they like. This was hilarious to see the reaction of some "analog guys" on youtube saying "this recording deserves analog" and always talking about the "vast superiority" of MSFL "all analog" recordings when suddenly they learned that MSFL was recording majority of their releases using DSD (which is a wise choice) ! Not to mention people paying thousands of dollars to get reel tape format music! The audio / music market is highly "modulated" (!) with mercantile goals. The other concept that average joe doesn't understand is that the transfer function of each component, listening room, the ears + personal choices and finally "placebo effect" are the heart of this endless debate! I'm not debunking analog, it's a personal choice like any other. All i can say is that i'm not missing a single second the analog sources i had before! (Nakamichi BX-300, Linn-Sondek LP12, Rega Planar 3, etc)
Monty, the perfection of your explanation is, once again, completely lost on a group of people who insist on believing their preconceptions. What a shame. At any rate, thank you. Perhaps one hundredth will be inspired to pursue the brand new understanding they will need to finally hear the penny drop, rendered in perfect analog sound.
I was shouting like it was a sports match, and was team is winning, but I wasn't watching baseball -- what I was looking at was an interpolation plot. And then my students saw me yelling and shaking my fist joyfully at a graph
Even though I knew the stuff in this video I loved every awesome minute of it. I would watch Monty talk about audio for an hour a day for the rest of my life.
Similar. Tape Bias reduces non-linearities at low signal levels in tape (a form of distortion). While dithering replaces low level quantizing-error noise (a form of distortion) with (less objectionable) hiss (of varying flavors depending on the dither type).
Just came across this video randomly. As someone who has worked for DECADES with digital audio, I found it amusing, refreshing, and very informative! Well done, man!
It's likely Live vs Rendered interpolation settings are the cause here not dithering. In the video, Monty makes the case that dithering from something higher down to 16 Bit is 'almost' inaudible. The dither effect is likely to be Just Noticeable, under ideal listening conditions, not something that would be immediately obvious.
? Monty is referring to music distribution formats not music production formats. 32 Bit floating point is necessary for music production. 24/192 is not only unnecessary for music distribution, 16/44.1 being the gold standard, it may even sound worse.
Yes friend if you record a CD with 32bit floating it does that automatically not me. The sound stays the same. But if you save as. Liked I said loses crystallization that's all. I have done hundreds of tries during the years. This is why I love this video cause teach people into the right direction of recording audio the right way. Peace..
Of course there is likely to be a difference and it's likely to be explained by monitoring levels. You are aware there is a Limiter on the Master Mixer track 8 associated with the default project? You matched the output volume of the Stand-alone with FL Studio? You set the same audio driver for both?
Simply FANTÁSTIC explanation of digital audio probablly Stereophile readers will killl themselves when they finally discover that the snob ultra HD audio technophilia makes no sense at all !!!
In the past few months I had the problem with some kicks and basses from Harmor or after exporting to .wav or .mp3. Were some of them had like and after ugly sound at the end. The after kick sounded bit distortion and some basses if they have reverb or delay same thing to. It took me months and repeated video tutorial from you guyz to fix this problem. Using The EQ and Maximus, the interpolation and dithering to fix all this. Believe me!!
Intersample peaks occur after the signal has passed through the reconstruction filter, usually in the analog domain. They don't exist in the "data" per se...
Every single DAW maker out there should just reference or mirror this video series... maybe people would start to listen to the engineers behind software they use daily who have to KNOW this as fact and stop yellinga bout vinyl being "better" or digital sounding "harsh"... digital sounds exactly what you put into it. no more, no less. So it sounds harsh if your signal is "harsh"... but i'm against using these emotional words to describe some phenomena that we can measure. Though, that's what many people do... maybe that explains a lot?
also, different DAWs have different dithers, and some set theirs a certain way by default. You should check your settings in each daw, and make sure they are consistent to make consistent results easier
It depends on what you're after. The classical moog latter filter is quite hard to replicate digitally, as it turns out. Analog instruments drift and distort and all the little nonlinearities make the sound more interesting, and any emulation has to account for all of these. Can you tell the difference? I don't know. OTOH if you're using something like an Access Virus Ti or something, that's digital internally, and a VST would do JUST as good a job. So the answer to your question is it depends
Yes, it's Lousy Robot's sound to go for an old overdriven fuzz-box sound ala OK-Go (with the interesting exception of the keyboard). The music was not processed for in the video.
Interesting and I learned quite a bit. The outstanding question I have is whether this apparent signal integrity is maintained with real-world recordings, rather than these examples which use a single frequency.
There is no "apparent integrity". Below the Nyquist limit there is only total integrity of any signal -- no matter what the content of that signal is. It doesn't matter if the signal is a pure sine wave, which in a Fourier transform would be the least information dense signal possible, or white noise, which would be the most information dense signal possible (same as picking a true random value for every sample). This is all covered by the Nyquist-Shannon sampling theorem.
It's a linear system. Since all band limited signals can be separated into a spectrum of frequencies, you can analyse what happens to each frequency to understand what happens to the entire signal.
All "real world" sounds are nothing more than single frequencies added together. In fact Monty already showed a square wave, which is infinite frequencies added together. But as we are all band limited (our ears) we can only hear the first 19 or so, and even then you'll have to be a child. You'll find it very inconvenient to demonstrate these examples if you were not using a single frequency, you might be able to handle a few sine waves but what is the point? Monty already showed you 19 sines added together.
@imageline I'm not bashing FL studio,it's the best program out there.All im saying is that there is a problem with the sound engine.Please run the test for yourself and you will hear the difference.
FL Studio is just a DAW, a platform or foundation for your VST's, effects and samples to play upon. What I think you're noticing is that when FL first starts up all values are set to the same where as other DAW's like Logic and Reason have native plugins that are already optimised and adjusted to sound nice right off the bat. I'm not 100% certain of this but I think that's all it is.
You know that what you propose would be illegal. Contact authorities and sue them or at least prove it or... keep accusations to yourself if your only goal is to spread uncertainties.
That's another area where it's easy to get foiled by technicalities however. Unless you're using plugins that respond dynamically based on input signal level, gain staging is effectively meaningless in 32bit float (until you export to a non-float format).
It's too much effort, but I would like to put a link to this video under every video where they advocate high-res audio and/or mention the continuous analog signal vs the stairstep digital signal or other such nonsense. So few people know about the Nyquist theorem...
Assuming they want to know, which I doubt. This information in one form or other is rather easy to come by. But if you have spent 10000USD on "quantum ground conditioner", you don't want to know that you simply wasted your money. Sadly, fighting disinformation or outright conspiracy theories with knowledge, however accessible, is not going to change people's mind. As far as I found out about it from psychology standpoint, we rather look at deprogramming methods for sect members (where such knowledge would be a step, but late one), not a link to video.
The "nyquist" frequency is always the half of your samplerate. Now if you are using 44100 hz the nyquist frequency is going to be 44100/2=22050 hz. Now any frequency you produce and exceedes the nyquist frequency (for example the 22050 hz) in a digital work station (like fl studio) it will of course not going to be audiable from any human but it will produce some other frequencies (audiable to us humans) to "alias" back and create distortion. The name of that distortion is called "Aliasing"
That shaped dither felt a bit like the "constant background noise" (that thing that goes away sometimes after swimming). IDK if I like that, but of course it's normally much lower in volume
It is. Dithering is technique for preserving detail when reducing bit depth. Think of a bit crusher, it gets sharp noise artifacts when you reduce bit depth. The classing bit crusher just introduces aliasing artifacts to your sound. Dithering on the other hand is adding white noise then bit crushing. This white noise randomly increases or decreases the amplitude of your signal so when it rounded to the nearest small bit depth value, it might be rounded to a bigger or smaller number then it would have without the noise. So the dither IS just noise.
They are interpolated values from the interpolation process. Interpolation wasn't really covered much in this video. However all those lines drawn through the sample points are exactly that...interpolation functions.
9:38 It's the conversion of a continuous value (analog) into a discrete value (digital). You can imagine it as the rounding of a decimal number (3.14159) to the closest integer (3). Hope this helps.
Ok.Now tell me why FL studio dont sound as clean as other daws like Logic?I opened up a Vst in standalone mode and it sounded way better. I im a Hardcore FL Studio user and i just want the sound quality fixed.
Forget Batman!! your my new Hero!!!!... This is why one of my strongest reasons why I use dithering when I'm exporting audio. I do it cause when I use 16bit drums samples. They don't match 32bit vst software sound. Dithering and interpolation is really important when you record vocals and use samples in a song. Sounds better!!! You can practice with drumaxx and drum samples and that will give you and idea of what I'm talking about. ps: remember to use Maximus best compressor ever.
This is wonderful. Thank You. It's amazing how a device creates the function that goes through all the dots in real time. We need more like you. There are people selling USB "reclockers", and "acoustic dots" out there. Is there a reason to seek an analog oscilloscope over a digital one ? If not, do you have an inexpensive old digital one that you would recommend ?
It’s not that it’s represented by less than a bit, it’s that its amplitude is less than that corresponding to the interval between two whole values. So you can have a digitised signal that alternates between 0 and 1 (or between [-1, 0, 1]), consisting of a “true” signal with a lower amplitude than that + some broadband noise.
This is arguably the very best video ever made that explains how digital audio works. Monty, you are amazing.
did you see Samplerates: the higher the better, right? by Dan Worrall on the FabFilter channel?
Yes, more than a decade old, but still the best
This is, by far, the best demonstration and explanation of this subject that I have ever seen. A true mic-drop moment!
The showmanship in this video is astounding
But misleading.
@@soloperformer5598how is it misleading?
And distracting
@@SamsungTshirt Its not, he just had to come in here and make sure you knew.
Not a chance, it's styled like a tutorial for elementary schools. I don't see how that's a problem.
I've been a sound engineer for a long time now and I've never watched anything as clear and perfect about digital audio! Thanks a lot!
11 years later and this debate is still being had....when this video came out I thought it was the death blow to the "staircase" argument. Man was I wrong. Lol
For some reason, people feel the need to justify listening to technically inferior formats. I love listening to vinyl just as much as CD or streaming despite its flaws. I wish more people could just admit that
I've never seen such a technical video explained in such a great way. Thank you, saved me a couple of readings.
This definitively is the best video on this topic I have ever seen. Very instructive with excellent experimental set up and great visual overlays. It's hard to believe that even after this video people keep on spreading the well-known myths in digital audio.
I would love to see more of this video's by Monty!
NOTE: You can't hear dithering under normal listening conditions. It does not impart anything 'obvious' to a recording other than replace one very low level distortion (quantizing error) with another very low level noise - 'hiss' of varying tonalities depending on the type. Dither is so quiet in order to hear it you need to crank the volume on the audio and the passage being monitored must be using only a few bits resolution (i.e very close to the noise floor).
This is so well presented it’s crazy!
This man is a genius. I can't tell you how many producers and audiophiles have no idea what they are talking about as it relates to the topics in this video. Thank god for those with actual engineering capability.
I am an electrical engineer myself and this presentation is really top notch! We hear/read so much plain false stuff about audio and the famous "Analog vs Digital" debate... Cool if people prefer analog gear, it's "colored" a certain way they like. This was hilarious to see the reaction of some "analog guys" on youtube saying "this recording deserves analog" and always talking about the "vast superiority" of MSFL "all analog" recordings when suddenly they learned that MSFL was recording majority of their releases using DSD (which is a wise choice) ! Not to mention people paying thousands of dollars to get reel tape format music!
The audio / music market is highly "modulated" (!) with mercantile goals. The other concept that average joe doesn't understand is that the transfer function of each component, listening room, the ears + personal choices and finally "placebo effect" are the heart of this endless debate! I'm not debunking analog, it's a personal choice like any other. All i can say is that i'm not missing a single second the analog sources i had before! (Nakamichi BX-300, Linn-Sondek LP12, Rega Planar 3, etc)
What a GREAT explanation that is understandable about a misunderstood concept. Thank you.
In 100 years this video will be a treasure
It already is.
It always will be...
Still is! 😂
I forgot to thank you guys for this video. I notice all the hard work that went into it, so thank you very much.
This dude uploaded the video 11 years ago. The editing and teaching skills are out of this world.
Yeah dude it was 2013. Not 70A.D. 😂
I wish all people in audio would look at videos like this so we could stop listening to the dogma coming from left and right :) great video!
Monty, the perfection of your explanation is, once again, completely lost on a group of people who insist on believing their preconceptions. What a shame. At any rate, thank you. Perhaps one hundredth will be inspired to pursue the brand new understanding they will need to finally hear the penny drop, rendered in perfect analog sound.
This video is amazing; it's the modern equivalent of those old b/w demonstration videos from the early to mid 20th century. That equipment is so sick.
I already read it...i trust my ears and i know what i hear.Try your VSTs in standalone and hear the difference in clarity
I was shouting like it was a sports match, and was team is winning, but I wasn't watching baseball -- what I was looking at was an interpolation plot. And then my students saw me yelling and shaking my fist joyfully at a graph
Even though I knew the stuff in this video I loved every awesome minute of it. I would watch Monty talk about audio for an hour a day for the rest of my life.
This is an awesome video presentation. Spectacular.
This was one great tutorial!! Clear, concise, well explained! Thank you for your time and effort...it is greatly appreciated!!!
Similar. Tape Bias reduces non-linearities at low signal levels in tape (a form of distortion). While dithering replaces low level quantizing-error noise (a form of distortion) with (less objectionable) hiss (of varying flavors depending on the dither type).
Just came across this video randomly. As someone who has worked for DECADES with digital audio, I found it amusing, refreshing, and very informative! Well done, man!
Yes you can. Put the patterns in the Playlist. OR you can trigger them in Performance Mode
It's likely Live vs Rendered interpolation settings are the cause here not dithering. In the video, Monty makes the case that dithering from something higher down to 16 Bit is 'almost' inaudible. The dither effect is likely to be Just Noticeable, under ideal listening conditions, not something that would be immediately obvious.
An oldie but goldie
This video deserves to have MILLIONS of views. There's still so much misinformation going around about digital audio.
Impressive! Excellent presentation. Thank you!
Another one conned.
what is your problem?@@soloperformer5598
Still the GOAT vid on the subject, hands down.
? Monty is referring to music distribution formats not music production formats. 32 Bit floating point is necessary for music production. 24/192 is not only unnecessary for music distribution, 16/44.1 being the gold standard, it may even sound worse.
Awesome show! And the text is very easy to understand for non-english-speaking people like me. :) Thanks so much!
Yes friend if you record a CD with 32bit floating it does that automatically not me. The sound stays the same. But if you save as. Liked I said loses crystallization that's all. I have done hundreds of tries during the years. This is why I love this video cause teach people into the right direction of recording audio the right way. Peace..
Of course there is likely to be a difference and it's likely to be explained by monitoring levels. You are aware there is a Limiter on the Master Mixer track 8 associated with the default project? You matched the output volume of the Stand-alone with FL Studio? You set the same audio driver for both?
All thanks goes to Monty @ Xiph.org we just passed it along :)
Wow - great demos and explanations
This is the best video on the internet
Simply FANTÁSTIC explanation of digital audio probablly Stereophile readers will killl themselves when they finally discover that the snob ultra HD audio technophilia makes no sense at all !!!
In the past few months I had the problem with some kicks and basses from Harmor or after exporting to .wav or .mp3. Were some of them had like and after ugly sound at the end. The after kick sounded bit distortion and some basses if they have reverb or delay same thing to. It took me months and repeated video tutorial from you guyz to fix this problem. Using The EQ and Maximus, the interpolation and dithering to fix all this. Believe me!!
Great video!
Intersample peaks occur after the signal has passed through the reconstruction filter, usually in the analog domain. They don't exist in the "data" per se...
Fantastic video. That was incredibly informational.
Every single DAW maker out there should just reference or mirror this video series... maybe people would start to listen to the engineers behind software they use daily who have to KNOW this as fact and stop yellinga bout vinyl being "better" or digital sounding "harsh"... digital sounds exactly what you put into it. no more, no less. So it sounds harsh if your signal is "harsh"... but i'm against using these emotional words to describe some phenomena that we can measure.
Though, that's what many people do... maybe that explains a lot?
this was very interesting to hear explained! thank you!
Excellent video. Thanks for posting.
Such an interesting video and only 17,000 likes. Thank you very much! 👍
also, different DAWs have different dithers, and some set theirs a certain way by default. You should check your settings in each daw, and make sure they are consistent to make consistent results easier
It depends on what you're after. The classical moog latter filter is quite hard to replicate digitally, as it turns out. Analog instruments drift and distort and all the little nonlinearities make the sound more interesting, and any emulation has to account for all of these. Can you tell the difference? I don't know. OTOH if you're using something like an Access Virus Ti or something, that's digital internally, and a VST would do JUST as good a job. So the answer to your question is it depends
what a perfect video!
Kinda!
When you do, post it in Looptalk so we can discuss it at length.
Indeed. Should have said we were discussing 16 Bit audio.
Yes, it's Lousy Robot's sound to go for an old overdriven fuzz-box sound ala OK-Go (with the interesting exception of the keyboard). The music was not processed for in the video.
Thank you Imageline!
Thank you for such an awesome video!
the video is recorded stereo, awesome, you can tell which side he walks to
Interesting and I learned quite a bit. The outstanding question I have is whether this apparent signal integrity is maintained with real-world recordings, rather than these examples which use a single frequency.
There is no "apparent integrity". Below the Nyquist limit there is only total integrity of any signal -- no matter what the content of that signal is. It doesn't matter if the signal is a pure sine wave, which in a Fourier transform would be the least information dense signal possible, or white noise, which would be the most information dense signal possible (same as picking a true random value for every sample). This is all covered by the Nyquist-Shannon sampling theorem.
It's a linear system. Since all band limited signals can be separated into a spectrum of frequencies, you can analyse what happens to each frequency to understand what happens to the entire signal.
@@srpenguinbr Excellent and concise explanation. Bravo.
All "real world" sounds are nothing more than single frequencies added together. In fact Monty already showed a square wave, which is infinite frequencies added together. But as we are all band limited (our ears) we can only hear the first 19 or so, and even then you'll have to be a child.
You'll find it very inconvenient to demonstrate these examples if you were not using a single frequency, you might be able to handle a few sine waves but what is the point? Monty already showed you 19 sines added together.
@@FM-kl7oc Exactly, and since we don’t have infinite data bandwidth, the integrity would surely suffer.
This is a GREAT VIDEO!!!! Thnks alot! the world of music,Sound,Signals, etc... is INFINITE!!!
I'm going to show this to people every time I have this argument about analogue Vs digital 😅
Great video
@imageline I'm not bashing FL studio,it's the best program out there.All im saying is that there is a problem with the sound engine.Please run the test for yourself and you will hear the difference.
This video is so good and useful
very well made video. very well explained and narrated. good job!
FL Studio is just a DAW, a platform or foundation for your VST's, effects and samples to play upon.
What I think you're noticing is that when FL first starts up all values are set to the same where as other DAW's like Logic and Reason have native plugins that are already optimised and adjusted to sound nice right off the bat.
I'm not 100% certain of this but I think that's all it is.
You know that what you propose would be illegal. Contact authorities and sue them or at least prove it or... keep accusations to yourself if your only goal is to spread uncertainties.
I can pass my class. Thanks god for this video.
That's another area where it's easy to get foiled by technicalities however. Unless you're using plugins that respond dynamically based on input signal level, gain staging is effectively meaningless in 32bit float (until you export to a non-float format).
this is the best show since "fun with flags"
It's too much effort, but I would like to put a link to this video under every video where they advocate high-res audio and/or mention the continuous analog signal vs the stairstep digital signal or other such nonsense. So few people know about the Nyquist theorem...
Assuming they want to know, which I doubt. This information in one form or other is rather easy to come by. But if you have spent 10000USD on "quantum ground conditioner", you don't want to know that you simply wasted your money. Sadly, fighting disinformation or outright conspiracy theories with knowledge, however accessible, is not going to change people's mind. As far as I found out about it from psychology standpoint, we rather look at deprogramming methods for sect members (where such knowledge would be a step, but late one), not a link to video.
No, that's why we process in 32 Bit floating point.
More please!
Yes, but I was wondering if you'll be putting them here, since it's simpler to follow them.
That was a great video !!!
The "nyquist" frequency is always the half of your samplerate. Now if you are using 44100 hz the nyquist frequency is going to be 44100/2=22050 hz. Now any frequency you produce and exceedes the nyquist frequency (for example the 22050 hz) in a digital work station (like fl studio) it will of course not going to be audiable from any human but it will produce some other frequencies (audiable to us humans) to "alias" back and create distortion. The name of that distortion is called "Aliasing"
LP filters would like to have a word.
@@filipvidinovski7960 oh no! XD
TheWhiteDragon, whoever you are, you are one of my new favorite people.
thanks for this!
I show this to analogue purists and audiophiles on a regular basis.
That shaped dither felt a bit like the "constant background noise" (that thing that goes away sometimes after swimming). IDK if I like that, but of course it's normally much lower in volume
It is. Dithering is technique for preserving detail when reducing bit depth. Think of a bit crusher, it gets sharp noise artifacts when you reduce bit depth. The classing bit crusher just introduces aliasing artifacts to your sound.
Dithering on the other hand is adding white noise then bit crushing. This white noise randomly increases or decreases the amplitude of your signal so when it rounded to the nearest small bit depth value, it might be rounded to a bigger or smaller number then it would have without the noise.
So the dither IS just noise.
How about a video explaining the phase issues that come along with using equalizers. I've read about it, but I don't understand much about it.
They are interpolated values from the interpolation process. Interpolation wasn't really covered much in this video. However all those lines drawn through the sample points are exactly that...interpolation functions.
Superb! Thank you so much!
Amazing
excellent video, thank you very much!
But, it might have been nice to include the answer to the question "What is quantization?" :)
9:38 It's the conversion of a continuous value (analog) into a discrete value (digital). You can imagine it as the rounding of a decimal number (3.14159) to the closest integer (3). Hope this helps.
Ok.Now tell me why FL studio dont sound as clean as other daws like Logic?I opened up a Vst in standalone mode and it sounded way better. I im a Hardcore FL Studio user and i just want the sound quality fixed.
Cool cup! :)
Thanks, great video! ;)
Your beard is awesome
This explanation is perfect
But limited.
@@soloperformer5598 "BuT LiMiTeD"
Bet you are one of those people that use the "Your audio isn't distorted enough" argument. 🫵🏻🤡🤡🤡
Good job
What analyzer software are you running on the laptop? Excellent debunk video!
this is brilliant!
Forget Batman!! your my new Hero!!!!... This is why one of my strongest reasons why I use dithering when I'm exporting audio. I do it cause when I use 16bit drums samples. They don't match 32bit vst software sound. Dithering and interpolation is really important when you record vocals and use samples in a song. Sounds better!!! You can practice with drumaxx and drum samples and that will give you and idea of what I'm talking about. ps: remember to use Maximus best compressor ever.
Awesome
thank you for this video!
This is wonderful. Thank You.
It's amazing how a device creates the function that goes through all the dots in real time.
We need more like you. There are people selling USB "reclockers", and "acoustic dots" out there.
Is there a reason to seek an analog oscilloscope over a digital one ?
If not, do you have an inexpensive old digital one that you would recommend ?
He used analog test hardware to increase the probability it might convince people who think everything analog is better
@@MatthijsvanDuin Too bad he never tested it on a flat Earth :)
Can we expect more of these here?
Disregard i figured it out,will be buying soon.
Google, "Audio Myths and DAW Wars". Click on the ImageLine article that should be first on the list. Read it thoroughly.
Can you explain aliasing and the nyquist math and stuff please?
Tell me more about this enigmatic Monty Montgomery
So would it be correct to say that dithering somewhat behaves like bias signal in audio tape?
What are 1/2 and 1/4 bits? How can a signal level be represented by less than a bit (1 and 0 )?
It’s not that it’s represented by less than a bit, it’s that its amplitude is less than that corresponding to the interval between two whole values. So you can have a digitised signal that alternates between 0 and 1 (or between [-1, 0, 1]), consisting of a “true” signal with a lower amplitude than that + some broadband noise.