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Step 1 of 2 4.037E A 2-input XNOR gate gives the output 1 if both the inputs are equal. Thus the truth table for the XNOR gate is given by as follows. Let X &Y are the inputs and Z is the output of the XOR gate. The truth table for XNOR gate is shown in Table 1: XYZ 001 010 100 1 1 1 Table 1 Step 2 of 2 From the truth table, the sum of product expression is given by, The AND-OR circuit of XNOR gate is shown in Figure 1: X Y X Y' 2 2 1 3 XY 2 2 Z 3 1 3 2 XY Figure 1: AND-OR circuit for XNOR gate