Question

To Express a 10 digit decimal number in binary,no.of digits required in binary number​

Answer 1

Answer:

So, if you have 3 digits in decimal (base 10) you have 10^3=1000 possibilities. Then you have to find a number of digits in binary (bits, base 2) so that the number of possibilities is at least 1000, which in this case is 2^10=1024 (9 digits isn't enough because 2^9=512 which is less than 1000)

Answer 2

When calculating the place number the rightmost digit place number has value zero. So for example, if you want to convert binary 1010 to decimal, you start with the rightmost 0. Add 0+2+0+8 and you get decimal 10.