Question: 3-)Answer the question below about multiplexer and decoders? (a) A combinational circuit is defined by the following Boolean functions. Design the circuit with a decoder

3-)Answer the question below about multiplexer and decoders?

(a) A combinational circuit is defined by the following Boolean functions. Design the circuit with a decoder and external gates. F1 = xyz + xz F2 = xyz + xy (b) Using a multiplexer, design a combinatorial circuit that outputs 1 if the 4-bit input is a prime number. (c) Using a decoder, design a combinatorial circuit that outputs the excess-3 code of the 3-bit input. (d) Using a multiplexer, design a combinatorial circuit that calculates the even parity of a 4-bit number. (e) Design a 16x1 multiplexer using two 8x1 multiplexer and one 2x1 multiplexer.

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