Year 10 - Computing
Binary addition
Representation of numbers
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit pupils will be reminded of how the base-10 number system works before being introduced to the base-2 number system. They will perform conversions between binary and decimal and recognise the rules of binary addition and subtraction. They will be introduced to hexadecimal and its uses.
Lesson Summary
You will learn to count in binary and you can perform addition in binary.
Key Notes
- 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.
Vocabulary To Learn
- 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 Mistakes To Avoid
- Pupils will often default to decimal addition, in the fact that 1+1 = 2, whereas in binary 1+1 = 10.
3 Quick Questions (With Answers)
1. Describe the system or process from this lesson in clear steps.
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.
2. Define this computing term and give one practical example. 'addition'
a mathematical operation where two or more numbers are combined to find their total. Add one real device or system example to prove understanding.
3. Correct this common computing misconception.
Mistake: Pupils will often default to decimal addition, in the fact that 1+1 = 2, whereas in binary 1+1 = 10. Correction: 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.
More Lessons In This Unit
Browse all guides in the Year 10 Computing guide library.