No, it would have to be 20 different consciousnesses working and only experiencing one bit at a time. There has to be something that unifies all 20 if anything is going to have holistic and comprehensive meaning, even an argument against this. Entanglement is a very convenient explanation.
Can the brain work in bytes?
Well it is people who make this measurement of information, just like we measure distance with meters. But yes, right now, everything that happens processes information at all levels. As far as science is concerned today, we only process information in a classical sense. But there is so much that they don't know about the brain that the door is not closed to quantum processes.
It is currently known how much information the universe holds, as long as it's an isolated system and has finite negative and positive energies.
Classical is not the same as digital or serial.
Analogue and/or parallel computing can model large sets of data simultaneously; we don't yet know enough about consciousness to declare that it can sensibly be considered as having 'parts', much less to declare that those 'parts' are only able to handle one bit of information at a time.
Please, please read this because it is something that you absolutely must understand. This will help you understand how everything comes down to binary computation including the brain, and I will also explain what this has to do with quantum computation. I spent a lot of time on this. Please read.
Before I tell what kind of information I am talking about, I will just call it universal information for now.
Once you role a die, it will have 6 bits of information (universal information). This kind of information is quantified ignorance. After the die has landed, it has zero bits of information. In other words, there is nothing else about the system that we can learn/know as far as our original question is concerned.
You can organize this information into binary, ternary, quandary or whatever you want. Using binary (you probably know this already, but please read because it is all going somewhere) we know that the die will either be 1,2,3 or 4,5,6. If it's 4,5,6, then we know that it will either be 4 or 5,6. Finally, we ask whether it's a 5 or 6. We got to the answer by answering "this" or "that" hence using a binary method. Ternary (trits) would be 1,2 or 3,4 or 5,6. Then if its 5,6 we need to use decimals, and it gets messy.
Binary is a base of two, or binary base, for the equation -log(b)p, where b = the number of choices and p = the probability overall (outcome/possibilities).
Using the equation, the die would have 1.63 "trits".
The interesting thing is that it was discovered that everything that happens can be quantified to be in this form of information. If we ask enough questions about, say, a thunderstorm we would know every detail down to each particle's state.
The more you ask "this" or "that", the less and less information is left. Eventually, the system will have revealed all of its information.
It turns out that there is a limit to how much information any system can contain. The limit is reached when the system is at a state of thermodynamic equilibrium. In other words, nothing else can happen i.e. no more information can be revealed. No more energy would be left for a single particle to change its state.
The kind of information that this is formally called is Shannon entropy. It comes from information theory. I explained it my way to give you the just of it.
Now quantum computing is so much more interesting and seems to answer how we even know that there is more than one option that exists at any point in time. In other words, we could never know of possibilities if we are just isolated "this's" and "thats".
A qubit can either be in a 1, 2 or 1 and 2 state. This is more than just a trit. Because the third state can be a superposition of states entangled with multiple amounts of different systems, a qubit can have many bits of information. For example, if we entangled 6 particles, and the outcome of one particle determines the states of spin for the other 5 particles, then one qubit, in the physical form of a particle, can have 6 bits of information.
There is no known limit to how many systems can be entangled with a single system.
Even crazier is the fact that photons have this property too. A photon can be a qubit too.
*Anyways, the point of all of this is that we must be somehow "in tune" with what exists simultaneously like an entangled state. And since we are fundamentally quantum mechanically "driven", and made of qubits, it should be quite reasonable that we have an entangled consciousness that samples the past, present, future and other spatial dimensions simultaneously.