7 Design a combinational circuit that has four inputs, A, B, and C and one output, Y. The output Y is HIGH ONLY when the decimal equivalent of the input is greater than 2. (a) Derive the truth table for this combinational circuit. (b) Write the Boolean expression for the output, Y. Using Kamaugh mapping technique, derive the simplified expression for the output, Y. (c) Draw the logic circuit implementation of Y in (b) using minimum number of gates.

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7 Design a combinational circuit that has four inputs, A, B, and C and one output, Y. The output Y is HIGH
ONLY when the decimal equivalent of the input is greater than 2.
(a)
Derive the truth table for this combinational circuit.
(b)
Write the Boolean expression for the output, Y.
Using Karnaugh mapping technique, derive the simplified expression for the output, Y.
(c)
Draw the logic circuit implementation of Y in (b) using minimum number of gates.
Transcribed Image Text:7 Design a combinational circuit that has four inputs, A, B, and C and one output, Y. The output Y is HIGH ONLY when the decimal equivalent of the input is greater than 2. (a) Derive the truth table for this combinational circuit. (b) Write the Boolean expression for the output, Y. Using Karnaugh mapping technique, derive the simplified expression for the output, Y. (c) Draw the logic circuit implementation of Y in (b) using minimum number of gates.
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