Question

D. Convert binary fraction .10112 to Decimal fraction.

Answer 1

To convert binary fraction to decimal fraction, we first write the given

.1011 (base 2)

The process of conversion is to break down to its decimal constituent,

.1011 (base 2) = (1*2^-1)+(0*2^-2)+(1*2^-3)+(1*2^-4)
.1011 (base 2) = 0.5 + 0 + 0.125 + 0.0625
.1011 (base 2) = 0.6875 (base 10)

ANSWER: 0.6875 (base 10)