Reference no: EM13162646

A logic circuit has two 2-bit unsigned binary numbers X[1:0] and Y[1:0] as the inputs and it has two 1-bit outputs. One of the outputs is ONE_GTR and the other is X1_XOR_Y1.

The ONE_GTR output is true when X[1:0] is one greater than Y[1:0]. For example, if X[1:0] is 01 and Y[1:0] is 10, ONE_GTR is false.

The X1_XOR_Y1 output is true when either X[1] or Y[1] is true, but not when both are true. a) Construct a truth table for these two functions.
b) Write the logic equations for both functions.
c) Draw the Gate level circuit for ONE_GTR using AND, OR and NOT gates