A half adder circuit is a fundamental digital circuit used to perform binary addition of two input bits.
The half adder takes two binary inputs, A and B, which can be either 0 or 1.
The sum output (S) represents the result of adding the two input bits. It's calculated using an XOR (exclusive OR) gate, where S = A ⊕ B.
The XOR gate outputs a 1 if the inputs are different (A ≠ B), and 0 if they are the same (A = B).
The carry output (C) indicates whether there is a carry from the addition. It's calculated using an AND gate, where C = A AND B.
The AND gate outputs a 1 if both inputs are 1, signifying that a carry is generated when both input bits are 1.
The half adder is a building block for more complex arithmetic circuits, such as full adders and multi-bit adders, which are used in CPUs and other digital systems for arithmetic operations.
• Binary addition - binary addition