3. Consider the function f = x,x3+x x3+ x, X2. Derive a circuit for f that uses a 4-to-1 multiplexer (a) using the truth table (b) using Shannon's expansion

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3. Consider the function f = x,x, + x2 X3 + x, X2. Derive a circuit for f that uses
a 4-to-1 multiplexer
(a) using the truth table
(b) using Shannon's expansion
4. For the functionf = x,x3 + Xz Xj+X1 Xz.
(a) find the cost of the circuit
(b) use Shannon's expansion to derive a circuit that has a lower cost and give the
cost of the circuit (Hint: apply Shannon's with respect to each input and find the
cost)
Transcribed Image Text:3. Consider the function f = x,x, + x2 X3 + x, X2. Derive a circuit for f that uses a 4-to-1 multiplexer (a) using the truth table (b) using Shannon's expansion 4. For the functionf = x,x3 + Xz Xj+X1 Xz. (a) find the cost of the circuit (b) use Shannon's expansion to derive a circuit that has a lower cost and give the cost of the circuit (Hint: apply Shannon's with respect to each input and find the cost)
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