For this problem, you are to design a simple combinational logic circuit and then use Logisim to simulate and test the circuit. The circuit is a 2-bit priority encoder with inputs X2 and X1 and outputs Y1 and Y0 .

The circuit behaves as follows:

o If X2X1 = 00, then Y1Y0 = 00 (no active input)

o If X2X1 = 01, then Y1Y0 = 01 (low-priority input, X1, is active)

o If X2X1 = 1-, then Y1Y0 = 10 (high-priority input, X2, is active)

Note that the value of input X1 does not matter if the high-priority input, X2 , is active. Also, output combination Y1Y0 = 11 should never occur.

a. Give the truth table that shows outputs Y1 and Y0 as functions of inputs X2 and X1 .

b. Give the Boolean algebra expressions for output Y1 and output Y0 .

c. Simulate your circuit using Logisim. Label all inputs and the output. Test for all four input combinations. Insert a picture of the circuit, as drawn in Logisim, into your homework submission.