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WAEC Computer Studies 2015 Paper

Question : 45

Total: 49

_2

, to base ten equals?

Solution:

Concept:

Binary numbers use base

2

To convert to base ten, multiply each digit by its place value, which is a power of

2

Explanation:

For

11001_2

, write the place values from right to left.

They are

2^0

2^1

2^2

2^3

, and

2^4

Now multiply each binary digit by its place value and add the results.

11001_2 = (1 \times 2^4) + (1 \times 2^3) + (0 \times 2^2) + (0 \times 2^1) + (1 \times 2^0)

= 16 + 8 + 0 + 0 + 1

= 25

Answer:

25

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