Consider a function F with 4 bits of input A3, A2, A1, A0 such that the...

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Consider a function F with 4 bits of input A3, A2, A1, A0 such that the output of F is 1 if the unsigned binary number represented by A3A2A1A0 is prime (i.e. 2, 3, 5, 7, 11, or 13). Otherwise, the output of F is 0. a. Write the truth table for F. b. Implement F using only a 16-to-1 MUX. c. Implement F using an 8-to-1 MUX, and some AND, OR, and NOT gates. d. Implement F using an 4-to-1 MUX, and some AND, OR, and NOT gates. e. Using Shannon's expansion, implement F using a 2-to-1 MUX, and some AND, OR, and NOT gates. Consider a function F with 4 bits of input A3, A2, A1, A0 such that the output of F is 1 if the unsigned binary number represented by A3A2A1A0 is prime (i.e. 2, 3, 5, 7, 11, or 13). Otherwise, the output of F is 0. a. Write the truth table for F. b. Implement F using only a 16-to-1 MUX. c. Implement F using an 8-to-1 MUX, and some AND, OR, and NOT gates. d. Implement F using an 4-to-1 MUX, and some AND, OR, and NOT gates. e. Using Shannon's expansion, implement F using a 2-to-1 MUX, and some AND, OR, and NOT gates.