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WAEC Computer Studies 2014 Paper

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Question : 45

Total: 50

The conversion of 11001

_2

to base 10 equals_______

30
28
25
20

Solution:

Concept:

Each binary digit has a place value that is a power of

2

, starting from

2^0

at the rightmost digit.

Explanation:

Write

11001_2

with powers of

2

from left to right.

The leftmost digit is in the

2^4

place.

So,

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

.

Calculate each term:

16 + 8 + 0 + 0 + 1

.

Add the values:

16 + 8 + 0 + 0 + 1 = 25

.

Therefore,

11001_2 = 25_{10}

.

Answer:

The correct answer is

25

, which is option C.

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