Question: Design a combination circuit with 3 inputs A, B, C (representing a 3-bit binary number, where A is the most significant bit, and C is

Design a combination circuit with 3 inputs A, B, C (representing a 3-bit binary number, where A is the most significant bit, and C is the least significant bit), and 3 outputs X, Y, Z (representing a 3-bit binary number, where X is most significant bit, and Z is the least significant bit. When the input is 0, 1, 2, or 3, the output is one greater than the input. When the input is 4, 5, 6, or 7, the output is one less than the input. For each of the output:

(a) Construct the truth table and write the Boolean equation in sum-of-minterms form.

(b) Construct the K-map and use it to minimuze the Boolean equation.

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