A four-input (A1, A2, B1, B2) and two-output (Y1, Y2) “BUT” gate has the following behavior:
• Y1 is 1 if A1 and B1 are 1 but either A2 or B2 is 0
• Y2 is defined symmetrically
a. Write logic expressions for Y1 and Y2 outputs of the BUT gate
b. Draw the corresponding logic diagram using AND gates, OR gates, and inverters
c. Write a behavioral-style Verilog model for the BUT gate
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