Homework 3 - Combinational Logic

Homework 3 - Combinational Logic - For Output C0 A0’ B0...

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Construct a truth table with four inputs and three outputs A1 A0 B1 B0 C2 C1 C0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 0 1 1 0 1 1 0 1 0 0 0 0 1 0 1 0 1 0 1 0 0 1 1 0 0 1 1 0 1 1 1 1 0 0 1 0 0 0 0 1 0 1 0 0 1 0 1 1 1 0 1 0 1 0 0 1 0 1 1 1 0 1 1 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 1 0 1 0 1 1 1 1 1 1 1 0
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Create a Karnaugh Map for each output column. 00 01 11 10 0 0 0 0 0 0 1 0 0 1 1 1 0 0 1 1 11 00 01 10 B1 B0 A1 A0 For Output C2
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00 01 11 10 0 0 1 1 0 1 0 1 1 0 1 0 1 1 0 0 11 00 01 10 B1 B0 A1 A0 For Output C1
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00 01 11 10 0 1 1 0 1 0 0 1 1 0 0 1 0 1 1 0 11 00 01 10 B1 B0 A1 A0 For Output C0
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Identify the minimized logic functions for each bit of the output. For Output C2 A1B1 + A0B1B0 + A1A0B0 For Output C1 A1’ A0’ B1 + A1’ B1 B0’ + A1 A0’ B1’ + A1 B1’ B0’ + A1’ A0 B1’ B0 + A1 A0 B1 B0
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Unformatted text preview: For Output C0 A0’ B0 + A0 B0’ Construct a gate diagram for each of the three output bits. For Output C2 For Output C1 A1 A1’ A0 A0’ B1 B1’ B0 B0’ C2 A1 A1’ A0 A0’ B1 B1’ B0 B0’ For Output C0 A1 A1’ A0 A0’ B1 B1’ B0 B0’ C1 C0...
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