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
Work through problems with immediate feedback
A

Recall / Warm-Up

These problems review skills you learned earlier.

1.

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

2.

What is 110121101_2 written in base 10?

B

Fluency Practice

1.

Add: 112+11211_2 + 11_2.

Column-addition layout stacking 11011 over 10110 with an empty carry row above and an empty result row below
2.

Add: 110112+10110211011_2 + 10110_2. Give your answer in binary.

3.

Add: 101012+1110210101_2 + 1110_2. Give your answer in binary.

4.

Subtract: 11012100121101_2 - 1001_2. Give your answer in binary.

5.

Subtract: 1001021011210010_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
6.

Multiply: 1012×112101_2 \times 11_2. Give your answer in binary.

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