Back to Exercise: Binary Arithmetic: Addition, Subtraction, and Multiplication

Exercises: Binary Arithmetic — Addition, Subtraction, and Multiplication

Work through each section in order. All numbers are in base 2 unless noted. Show your column work, and verify your answers by converting to base 10 where asked.

Grade 7·20 problems·~30 min·Uganda NCDC Primary 7 Mathematics·lesson·whole-numbers-04

Printable layout

Recall / Warm-Up

These problems review skills you learned earlier.

Which digits are the only valid digits in the binary (base 2) system?

0 and 1

0, 1, and 2

1 and 2

0 through 9

What is $1101_2$ written in base 10?

1101

Fluency Practice

Add: $11_2 + 11_2$ .

$110_2$

$22_2$

$100_2$

$101_2$

$Column-addition layout stacking 11011 over 10110 with an empty carry row above and an empty result row below$

Add: $11011_2 + 10110_2$ . Give your answer in binary.

Add: $10101_2 + 1110_2$ . Give your answer in binary.

Subtract: $1101_2 - 1001_2$ . Give your answer in binary.

Subtract: $10010_2 - 1011_2$ . This subtraction requires borrowing. Give your answer in binary.

$Binary long-multiplication layout showing two partial products of 101, the second shifted one column left, above an empty result row$

Multiply: $101_2 \times 11_2$ . Give your answer in binary.

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