Design a logic circuit with one selection variable ‘S’ and 2 inputs ‘A’ and ‘B’: when S = 0 the circuit performsA⊕B; when S = 1 the circuit performs AB. Show the process to obtain such a circuit.
Question
Design a logic circuit with one selection variable ‘S’ and 2 inputs ‘A’ and ‘B’: when S = 0 the circuit performsA⊕B; when S = 1 the circuit performs AB. Show the process to obtain such a circuit.
Solution
To design a logic circuit with one selection variable 'S' and 2 inputs 'A' and 'B' that performs A⊕B when S = 0 and AB when S = 1, you can follow these steps:
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Identify the Required Gates: For A⊕B, you need an XOR gate. For AB, you need an AND gate.
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Draw the Basic Circuit: Draw two input lines labeled 'A' and 'B'. Connect these to both an XOR gate and an AND gate.
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Implement the Selection Variable: The selection variable 'S' will determine which gate's output is used. This can be achieved using a multiplexer (MUX).
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Connect the Gates to the MUX: The MUX has multiple inputs, one selection line, and one output. Connect the output of the XOR gate to one input of the MUX and the output of the AND gate to another input. Connect 'S' to the selection line of the MUX.
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Finalize the Circuit: The output of the MUX is the output of the circuit. When 'S' is 0, the MUX will select the output of the XOR gate (A⊕B). When 'S' is 1, the MUX will select the output of the AND gate (AB).
This is a high-level description of the process. The exact implementation can vary based on the specific logic gates and multiplexer used.
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