Question

Convert decimal number into binary number.

Answer 1

(a) Canversion of (25)10:

25 = 12 x 2 + 1

12 = 6 x 2 = 0

6 = 3 x 2 + 0

3 = 1 x 2 + 1

1 = 0 x 2 + 1

(25)10 = (11001)2

(b) Conversion of fraction (0.8125)10

0.8125 x 2 = 1.6250

0.6250 x 2 = 1.2500

0.2500 x 2 = 0.5000

0.5000 x 2 = 1.0000

(0.8125)10 = (0.1101)2

Adding (a) and (b), we get,

(25.8125)10 = (11001.1101)2.