Binary Numbers

Addition of Binary Numbers

• Example correction: When adding 1010 (binary for 10) + 1001 (binary for 9), the correct result should be calculated step-by-step:

• Align numbers: [ 1 0 1 0 ] [ +1 0 0 1 ]

• Process column by column: 0 + 1 = 1 1 + 0 = 1 0 + 0 = 0 1 + 1 = 0 (carry over 1) Result: 10011 (binary) which is decimal 19.