0984

Number Systems

Data Representation · 4 question types

Binary addition is done column by column from right to left, just like denary addition, but with only two digits and a carry rule.

The five rules of binary addition

SumResultCarry
0 + 00none
0 + 11none
1 + 01none
1 + 10carry 1 (because 1 + 1 = 10 in binary)
1 + 1 + 11carry 1 (because 1 + 1 + 1 = 11 in binary)

The fifth rule covers the case where two 1s and an incoming carry meet in the same column.