Question

Why decimal number system is not useful in digital devises.
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Answer 1

Answer:

Hope the picture gives you a descriptable answer

Answer 2

Answer:

Binary number system is easy.

Step-by-step explanation:

Many 1st and 2nd generation computers did all their computations in a decimal representation.

As computers evolved, experience has shown that performance is greater in a binary representation.

Computer Architects have found that binary notional in fixed point and floating point is faster then using decimal.

There is a IEEE standard decimal notation. But I yet to see a computer that implements it.

Because binary is easy. Much easier than decimal. Like, there’s no comparison how much easier binary is than decimal.

The following is terribly simplistic, probably, but here are the main reasons why binary is much easier than decimal:

You only need two digits: 0 and 1 . In decimal, you need ten digits, and you need to remember what each digit stands for. Perhaps for us, remembering the ten digits is easy, but it really isn’t.

Addition in binary is really simple. All you need to remember to add two binary numbers is the following: 0+0=0,0+1=1+0=1,1+1=0 and carry 1 . Essentially, to add, you need what is called an XOR gate for the addition and an AND gate for the carry. It is much harder to add two numbers in decimal: you need to remember a lot more rules.

Multiplication in binary is even easier. All you need to remember is that multiplying a number by 1 leaves the number unchanged and multiplying a number by 0 gives the answer 0 . For decimal, you need to remember a lot more stuff to multiply two numbers, starting from the multiplication tables.

In short, you can learn how to represent, add and multiply binary numbers in two minutes tops, whereas you need two weeks, at least, to do so using the decimal representation. Of course, it is much easier to implement a machine that is inherently simple than one that is inherently complicated. Because of this, binary is the obvious choice.