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BECE Computing 2025 Paper

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Question : 25

Total: 40

A student is very good at converting any integer to binary but finds it difficult to convert from hexadecimal to binary. Help the student to convert the hexadecimal number A2_{16} to binary.

10000110_{2}
10100010_{2}
10010001_{2}
10001010_{2}

Solution:

Concept:

Each hexadecimal digit represents exactly 4 binary bits.

Explanation:

Convert each hexadecimal digit separately to a 4-bit binary group.

\mathrm{A}_{16} = 10_{10} = 1010_2

2_{16} = 2_{10} = 0010_2

Join the two groups:

1010\;0010

Answer:

\mathrm{A}2_{16} = 10100010_2

The correct option is B.

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