Question

What is the decimal number representation of the binary number $(11101.001{)}_2$ ?

• A. 30.125
• B. 29.025
• C. 29.125
• D. 28.025

Answer 1

The correct option is C 29.125

Now $(11101.001{)}_2$ in decimal number representation will be,

$=1\times 2^4+1\times 2^3+1\times 2^2+0\times 2^1+1\times 2^0+0\times \frac{1}{2}+0\times \frac{1}{4}+1\times \frac{1}{8}$

$=16+8+4+0+1+0+0+.125$

$=29.125$

Hence, option C is correct.