Question

Which one of the following binary number s is divisible by 4?
a.101010
b.100101100
c.1110001
d.100011?

Answer 1

Let me help you with this question.
We have to find out which of the given binary numbers are divisible by '4' .
For this, we divide each of the given numbers by 4 and the number whose remainder is zero will be the one which is divisible by 4.
(a) . 101010
Dividing by 4, we get:
101010 / 4 = 25252.5
(b) . 100101100
Dividing by 4, we get:
100101100 / 4 = 25025275
(c) . 1110001
Dividing by 4, we get:
1110001 / 4 = 277500.25
(d) . 100011
Dividing by 4, we get:
100011 / 4 = 25002.75
From the above calculations, it is clear that '100101100' is the only binary number which is divisible by 4.
 Hence, option (b) is correct.
Hope it's helpful. Thanks.