Question

The decimal equivalent of the binary number (1011.011)2 is ________

(a) (11.375)10

(b) (10.123)10

(c) (11.175)10

(d) (9.23)10

The question was posed to me in an interview for job.

I need to ask this question from Number System topic in section Number System and Codes of Digital Circuits

Answer 1

Correct choice is (a) (11.375)10

The best I can explain: Binary to Decimal conversion is obtained by multiplying 2 to the power of base index along with the value at that index position.

1 * 2^3 + 0 * 2^2 + 1 * 2^1 +1*2^0 + 0 * 2^-1 +1 * 2^-2 + 1 * 2^-3 = (11.375)10

Hence, (1011.011)2 = (11.375)10