Question

If (101.01)2=(x)10, then what is the value of x?

(a) 505.05

(b) 10.101

(c) 101.01

(d) 5.25

I got this question in quiz.

The origin of the question is Representation of Numbers in section Discrete Time Systems Implementation of Digital Signal Processing

Answer 1

Right option is (d) 5.25

Best explanation: (101.01)2=1*2^2+0*2^1+1*2^0+0*2^-1+1*2^-2=(5.25)10

=>x=5.25.