Question

In a binary number system, assume that a=00111 and b=01110, then in a decimal system `(b)/(a)`, which is equal to
A. 1
B. 2
C. 4
D. 5

Answer 1

Correct Answer - B
Let `a=00111=2^(2)xx1+2^(1)xx1+2^(0)xx1`
`=4+2+1=7`
Let `b=01110=2^(3)xx1+2^(2)xx1+2^(1)xx1+2^(0)xx0`
`=8+4+2=14`
`therefore (b)/(a)=(14)/(7)=2`