Q.Write the truth table and draw the timing diagram of a half adder.

A half adder adds two bits A and B, giving $\text{Sum} = A \oplus B$ and $\text{Carry} = AB$. Its truth table and the corresponding output waveforms follow directly from these two equations. …

[!TLDR]

Half adder: $\text{Sum} = A \oplus B$, $\text{Carry} = AB$. Sum is 1 when A and B differ; Carry is 1 only when both are 1.

The half adder is the simplest combinational adder. Its SUM output follows the exclusive-OR of the inputs, so it is 1 whenever the two inputs are unequal, while its CARRY output follows the AND of the inputs, so it is 1 only when both inputs are 1. …