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WAEC Data Processing 2020 Paper

Question : 4

Total: 40

The sum of 110

_2

_2

Solution:

Concept:

Binary addition is similar to decimal addition, but it uses only base

2

digits:

0

and

1

Explanation:

Add the binary numbers column by column from right to left.

Rightmost column:

0_2 + 1_2 = 1_2

Next column:

1_2 + 0_2 = 1_2

Leftmost column:

1_2 + 1_2 = 10_2

, so write

0_2

and carry

1_2

to the next column.

Combine the carry with the written digits to get

1011_2

Thus, the sum is

110_2 + 101_2 = 1011_2

Answer:

1011_2

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