![]() ![]() While the first one representing the SUM output is that of an EX-OR gate, the second one representing the CARRY output is that of an AND gate. ![]() The Boolean expressions for the SUM and CARRY outputs are given by the equations belowĪn examination of the two expressions tells that there is no scope for further simplification. Figure 3.2 shows the truth table of a half-adder, showing all possible input combinations and the corresponding outputs. ![]() Such a circuit thus has two inputs that represent the two bits to be added and two outputs, with one producing the SUM output and the other producing the CARRY. A half-adder is an arithmetic circuit block that can be used to add two bits. ![]()
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