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Design a combinational circuit with three inputs A,B,C and three outputs F,G,H.

1) When the binary input is 0 , or 7 , the binary output is 0 .
2) When the binary input is 1,2 , or 3 , the binary output is three greater than the input.
3) When the binary input is 4,5 , or 6 , the binary output is one greater than the input.
Use the given signal names (A, B, C, F, G, H) in your solution.

1 Answer

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Final answer:

The student needs to design a combinational circuit for specific input-output conditions. A systematic approach involves creating a truth table, deriving the logic expressions for the outputs, and implementing them using logic gates.

Step-by-step explanation:

The question asks for the design of a combinational circuit with three inputs A, B, C and three outputs F, G, H. The circuit should satisfy the following conditions: When the binary input is 0 or 7 (binary 000 or 111), the binary output is 0. When the binary input is 1, 2, or 3 (binary 001, 010, 011), the binary output is three greater than the input (4, 5, 6 respectively).

When the binary input is 4, 5, or 6 (binary 100, 101, 110), the binary output is one greater than the input (5, 6, 7 respectively). Without presenting a specific design, a systematic approach to solve this problem would be to: Create a truth table to represent all the combinations of inputs and their corresponding outputs.

Derive the output logic expressions for F, G, and H using methods such as Karnaugh maps or Boolean algebra. Implement the circuit using standard logic gates like AND, OR, NOT, XOR, etc., based on the derived expressions.

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