Test Index

WAEC Computer Studies 2021 Paper

Question : 45

Total: 50

The binary number 0.1101 in decimal is

Solution:

Concept:

A binary fraction is converted to decimal by using negative powers of

2

Explanation:

Write the binary fraction in expanded form using place values.

0.1101_2 = 0 + 1 \times 2^{-1} + 1 \times 2^{-2} + 0 \times 2^{-3} + 1 \times 2^{-4}

This becomes

0 + \frac{1}{2} + \frac{1}{4} + 0 + \frac{1}{16}

Convert to sixteenths:

\frac{8}{16} + \frac{4}{16} + \frac{1}{16} = \frac{13}{16}

Since

\frac{13}{16} = 0.8125

, the decimal equivalent is

0.8125_{10}

Answer:

0.8125

, which is option A.

Go to Question:

Prev Question

Next Question