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New
New
Year 10
AQA

Binary addition

I can count in binary and I can perform addition in binary.

icon-background-square
New
New
Year 10
AQA

Binary addition

I can count in binary and I can perform addition in binary.

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Lesson details

Key learning points

  1. The process of counting in binary follows the same principle as decimal.
  2. Binary addition can be achieved with the following facts: 0+0 = 0, 0+1 = 1, 1+1 = 10 and 1+1+1 = 11.

Keywords

  • Addition - a mathematical operation where two or more numbers are combined to find their total

  • Carry - the extra value that moves to the next column when the sum of digits in a place value exceeds the base

Common misconception

Pupils will often default to decimal addition, in the fact that 1+1 = 2, whereas in binary 1+1 = 10.

Remind students that binary only has two digits; 0 and 1. Use the comparisons between binary and decimal addition in the slide deck to illustrate the differences.

Model to students the process using the layout modelled in the slide deck. This models how they would do addition in maths, so pupils should be familiar with the process.
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Licence

This content is © Oak National Academy Limited (2025), licensed on
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Lesson video

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6 Questions

Q1.
Binary is a base number system.
Correct Answer: 2, two
Q2.
What digits are used in binary?
Correct answer: 1 and 0
0 to 9
0 to 100
Q3.
In the decimal number 3,728 what digit is in the hundreds place?
3
Correct answer: 7
2
8
Q4.
What is the value of the '1' in the binary number 10,000?
Correct Answer: 16, sixteen
Q5.
What is the decimal equivalent of the binary number 11011?
Correct Answer: 27, twenty-seven, twenty seven
Q6.
What is the binary representation of the decimal number 53?
Correct answer: 110101
100100
111111
101101

6 Questions

Q1.
Counting in binary follows similar principles to counting in .
Correct Answer: decimal
Q2.
Match the binary addition rule to the correct result.
Correct Answer:0 + 0,0
tick

0

Correct Answer:0 + 1,1
tick

1

Correct Answer:1 + 1,10
tick

10

Correct Answer:1 + 1 + 1,11
tick

11

Q3.
Add together these two binary numbers: 1010 + 101
Correct Answer: 1111
Q4.
Add together these two binary numbers: 1111 + 111
Correct Answer: 10110
Q5.
What is the maximum decimal number that can be represented by 5 binary digits?
Correct answer: 31
15
5
11111
Q6.
Add together these three binary numbers: 100 + 10 + 1
Correct Answer: 111