The circuit below receives three pairs of inputs 
and produces a four?bit output 
Analyze the circuit and explain what it does in plain English.
Since all inputs are in pairs connected to XOR gates, we can simplify the truth table by just using the XOR outputs as variables. The diagram gives the intermediate variables to help us draw the truth table. As you can see the circuit is a priority encoder so that c3 is asserted if X3 is asserted, C2 is asserted if X2 is asserted (but not X3), C1 is asserted if X1 is asserted (but not C2 and C3). In practice this means that if two 4?bit words are matched, the C outputs correspond to the highest matching bits. Note that F is asserted only of there are no matching bits.
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