What is meant by a binary number and give some examples?

Answer 1

A binary number is a way of representing number such that the place value of each number is 2 times that of the place to its right. A binary number is composed entirely of 0s and 1s.

The first ten counting numbers, in binary, are:

1 = 1*1

10 = 1*2 + 0*1

11 = 1*2 + 1

100 = 1*4 + 0*2 + 0*1

101 = 1*4 + 0*2 + 1*1

110 = 1*4 + 1*2 + 0*1

111 = 1*4 + 1*2 + 1*1

1000 = 1*8 + 0*4 + 0*2 + 0*1

1001 = 1*8 + 0*4 + 0*2 + 1*1

1010 = 1*8 + 0*4 + 1*2 + 0*1