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Implement the following Boolean function using only one 4:1 Mux and few gates

$F= ∑ M(0,1,2,3,4,6,8,9,11,13,15) $

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Step 1: Write the design table

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Step 2: Implementation using 4:1 MUX and logic gates

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$D_0 = \overline{A} \overline{B} + A \overline{B} = \overline{B}(A+ \overline{A})$

$D_1 = \overline{A} \overline{B} + AB$

$D_2 = \overline{A} \overline{B}$

$D_3 = \overline{A} \overline{B} + AB$

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