Binary Addition for Beginners

Year 7 Mathematics Understanding Binary Numbers KS3 National Curriculum

What is Binary?

Binary uses only two digits: 0 and 1 Also called 'base 2' number system Computers use binary to process information Each digit position represents a power of 2

Binary Place Values

Binary Addition Rules

0 + 0 = 0 0 + 1 = 1 1 + 0 = 1 1 + 1 = 10 (write 0, carry 1)

Binary vs Decimal Addition

{"left":"Decimal: 1 + 1 = 2\nBinary: 1 + 1 = 10\nDecimal: carry when sum ≥ 10","right":"Binary: carry when sum ≥ 2\nSame process, different rules\nAlways work right to left"}

Step-by-Step Example: 101 + 110

Quick Check

What is 11 + 01 in binary? Remember the rules! Work it out step by step Raise your hand when ready

Practice Problems

Work through these additions: a) 110 + 101 b) 1001 + 111 c) 1010 + 1100 Show all your working!

Summary

Binary uses only 0 and 1 Addition rules: 0+0=0, 0+1=1, 1+0=1, 1+1=10 Always work right to left Carry when sum equals 2 or more Practice makes perfect!