Why is the denary number system rejected by the computer for data representation and the binary number system accepted?

Answer 1

Binary is used for representing numbers in computer systems because it is the only numeric system that can be represented with on/off switches. Each of those states, on and off, can be used to represent a digit, one and zero respectively.

If we used decimal storage, then it could only be represented in ways that are less efficient, or not technically feasible. For example, if we had a high-speed microswitch (equivalent to a transistor) that had ten different states, then we could use that, but there is no such thing. Alternatively, we could represent decimal using nine on/off switches per digit, each representing a value from one to nine, ensuring that no two of them would be simultaneously on. This though, is a waste of resources. Doing it that way, having eighteen on/off switches would represent a number from zero to 99. Using binary, the same number of on/off switches can represent a number from zero to 262143.