Starter quiz
- Binary is a base ______ number system.
- '2' ✓
- What digits are used in binary?
- 1 and 0 ✓
- 0 to 9
- 0 to 100
-
- In the decimal number 3,728 what digit is in the hundreds place?
- 3
- 7 ✓
- 2
- 8
-
- What is the value of the '1' in the binary number 10,000?
- '16' ✓
- What is the decimal equivalent of the binary number 11011?
- '27' ✓
- What is the binary representation of the decimal number 53?
- 110101 ✓
- 100100
- 111111
- 101101
-
Exit quiz
- Counting in binary follows similar principles to counting in ______.
- 'decimal' ✓
- Match the binary addition rule to the correct result.
- 0 + 0⇔0 ✓
- 0 + 1⇔1 ✓
- 1 + 1⇔10 ✓
- 1 + 1 + 1⇔11 ✓
- Add together these two binary numbers: 1010 + 101
- '1111' ✓
- Add together these two binary numbers: 1111 + 111
- '10110' ✓
- What is the maximum decimal number that can be represented by 5 binary digits?
- 31 ✓
- 15
- 5
- 11111
-
- Add together these three binary numbers: 100 + 10 + 1
- '111' ✓
Worksheet
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Presentation
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Video
Lesson Details
Key learning points
- The process of counting in binary follows the same principle as decimal.
- Binary addition can be achieved with the following facts: 0+0 = 0, 0+1 = 1, 1+1 = 10 and 1+1+1 = 11.
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.
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
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