Binary Addition Understanding Computers Understanding Computers L 4

Binary Addition Understanding Computers

Understanding Computers L 4 – Binary Addition Properties of Binary numbers • Quickly identifying a binary number with an Odd or Even denary equivalent • Adding an extra zero to a binary pattern

Understanding Computers L 4 – Binary Addition Identifying Odd or Even Patterns • Only the right hand Bit represents an Odd number – 1. The rest represent even numbers – 2, 4, 8, 16 and so on. • A 1 in the right hand bit means the pattern is an Odd number. A 0 says it is Even. • Which of the following are Odd or Even? – 1001011 – 0011010 – 0110111

Understanding Computers L 4 – Binary Addition Adding an extra Zero • In the Denary system, an extra 0 multiplies everything by 10. – 5 becomes 50, 17 becomes 170 • What happens in the Binary system? – 1011 becomes 10110 – 1011 (= 11) becomes 10110 (= 22) • Try 0101 and add a zero. What happens? • What happens when you add a zero on the left?

Understanding Computers L 4 – Binary Addition Simple Denary Addition Work Right to Left : 1. Add the Units 2. If Over 9 = 0 Carry Tens 3. Add Tens 1 14 + 17 = 31

Understanding Computers L 4 – Binary Addition Binary Arithmetic • How can you add one binary number to another? 11 1110 + 1100 =11010

Understanding Computers L 4 – Binary Addition The Rules of Binary Addition Rule 1 Rule 2 or 3 Rule 4 0+0= 0 0+1= 1 1+0= 1 1 + 1 = 0 Carry 1 1 + 1 = 1 Carry 1 Rule 5 1. 2. 3. 4. 5. 11 1 0 14 + 1 1 0 0 12 = 1 1 0 26 Carry Bit Work Right to Left and apply these simple rules: