Implement the following circuits using: i. A decoder ii. A multiplexer (a) F(A, B, C, D) =

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Question:

Implement the following circuits using:
i. A decoder
ii. A multiplexer
(a) F(A, B, C, D) = ∑m (0, 1, 2, 3, 6, 10, 11, 14)
(b) A full subtractor
(c) A combinational circuit with 2 inputs: x, y, z; and 3 outputs A, B, C. When the binary input is 0,1, 2, and 3, the binary output is one greater than the input. When the binary input is 4, 5, 6, and 7, the binary output is two less than the input.
NB: You may use a decoder or multiplexer of your choice, however, justify your choice clearly and in writing.