Question

Implementing Boolean functions using multiplexers and decoders a. Implement the following Boolean function with a 8×1 multiplexer. $F(A, B, C, D) = \Pi(4, 9, 14, 15)$ (2 pts) b. Implement the following Boolean function with a 4×1 multiplexer and external gates. $F(A, B, C, D) = \Sigma(0, 3, 4, 6, 7, 10, 14, 15)$ (2 pts) c. Using a decoder and external gates, design the combinational circuit defined by the three Boolean functions: (2 pts) $F_1(x, y, z) = x'y'z' + xz$, $F_2(x, y, z) = xy'z' + x'y$, $F_3(x, y, z) = x'y'z + xy$

          Implementing Boolean functions using multiplexers and decoders
a. Implement the following Boolean function with a 8×1 multiplexer.
$F(A, B, C, D) = \Pi(4, 9, 14, 15)$
(2 pts)
b. Implement the following Boolean function with a 4×1 multiplexer and
external gates.
$F(A, B, C, D) = \Sigma(0, 3, 4, 6, 7, 10, 14, 15)$
(2 pts)
c. Using a decoder and external gates, design the combinational circuit
defined by the three Boolean functions:
(2 pts)
$F_1(x, y, z) = x'y'z' + xz$, $F_2(x, y, z) = xy'z' + x'y$, $F_3(x, y, z) = x'y'z + xy$

Implementing Boolean functions using multiplexers and decoders
a. Implement the following Boolean function with a 8×1 multiplexer.
F(A, B, C, D) = Π(4, 9, 14, 15)
(2 pts)
b. Implement the following Boolean function with a 4×1 multiplexer and
external gates.
F(A, B, C, D) = Σ(0, 3, 4, 6, 7, 10, 14, 15)
(2 pts)
c. Using a decoder and external gates, design the combinational circuit
defined by the three Boolean functions:
(2 pts)
F1(x, y, z) = x'y'z' + xz, F2(x, y, z) = xy'z' + x'y, F3(x, y, z) = x'y'z + xy

Added by Melissa M.

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