A half adder circuit has two input bits, ai and bi. The output is a sum bit, si, and a carry bit

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Step 1: 
Identify the inputs and outputs of the half adder circuit. The inputs are two bits, ( a

A half adder circuit has two input bits, $a_i$ and $b_i$. The output is a sum bit, $s_i$, and a carry bit, $c_{i+1}$. Derive the logic equations for the sum and carry bits that are necessary for designing a half adder circuit.