P3 (20 points). 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