What is the relationship between voltage and binary code?

Question

Electronics

Consider a chain of resistances R - 2R, called the matrix (Fig. 15.6).

On the last (right) link of the matrix, the voltage is divided in half due to the equality of resistances, on the previous link, the voltage is also divided in half, since it is distributed between the resistor R and two resistors 2R in parallel, etc. This idea - voltage division - lies in based on the conversion of binary code to constant voltage, which is necessary for the operation of computers.

Can you tell a little more about this? I've just never heard of such a connection between voltage and double when.

Answer 1

Well, here's a 4-bit version for compactness:

We apply a voltage, say, 1 volt, to the input of the matrix R-2R, and by controlling the binary code at the inputs D0 ... D3, we get the same voltage at the output, divided by 16 steps (of course, taking into account the scale set by the operational amplifier, i.e. in fact, the resistor Roc).
But in general, there is a lot of material on this topic on the Internet .

Answer 2

Can you tell a little more about this?

About what? In a correctly asked question - half the answer ...
I suppose that the process of quantization is of interest , as a mapping of a continuous series of voltages onto a finite set of binary codes.

This idea - voltage division - underlies the conversion of binary code to constant voltage, which is necessary for computers to work.

Strange statement. It is neither necessary nor sufficient.