Question 2: [32pts] (25 minutes) Assume a system with 4 Boolean variables W, X, Y, and Z. You are going to design a digi

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Question 2 32pts 25 Minutes Assume A System With 4 Boolean Variables W X Y And Z You Are Going To Design A Digi 1 (81.9 KiB) Viewed 53 times

Question 2: [32pts] (25 minutes) Assume a system with 4 Boolean variables W, X, Y, and Z. You are going to design a digital circuit that generates: a logic 1 when the two digit binary number WX is greater than or equal to the two digit binary number YZ, and generates a logic 0 otherwise. In other words, if F is the output of this circuit then F= 1 when (WX)2 >= (YZ)2 and F= 0 otherwise. (a) Construct the truth table. (b) Write the function as a sum of minterms. (c) Draw the Karnaugh Map. (d) Write down all prime implicants. (e) Mark essential prime implicants. (f) Find a simplified expression for F using prime implicants. (g) Calculate literal cost (L) and gate input cost (G). (h) Implement the function as a two-level circuit using NAND gates.