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The two circuits, A and B, modeled by Verilog below are logic equivalent.
module circuit_A( clk , rstn , A , B , C , F ); input clk ;//Input clock input rstn ;//A-sync reset signal, low active input A ; input B ; input C ; output F ; assign F = (B && !C) || (!A && B); endmodule module circuit_B( clk , rstn , A , B , C , F ); input clk ;//Input clock input rstn ;//A-sync reset signal, low active input A ; input B ; input C ; output F ; wire [ 1:0] AB ; assign AB = {A,B}; assign AB = {A,B}; assign F = (AB==2'h0) ? 1'b0: (AB==2'h1) ? 1'b1: (AB==2'h2) ? 1'b0: !C; endmodule