REVIEW3 1. Implement the following Boolean function with a 4 x 1 multiplexer and external gates F(A, B, C, D)-? (0,2,6,8,9,12,14,15) 2. Implement function F using 8x1 multiplexer F(A, B, C, D) -(1, 3,4,11,12, 13, 14,15) 3. Constructing a NAND circuit to receive a number (3 bits) and output 1 if the input number is not a prime number. (Hint: 1. Find out which number is not a prime number, 2. simplify circuit using K-map, 3. Convert to the NAND circuit.) 4. Find the state table and state diagram of this circuits Clk Clk Clk Clock Using either JK, D, T flip-flop to design a counter with following repeated binary sequence 0,1,2,3,4,5,6,7 5. 6. Given this counter circuit, D is positive edged trigger flip flop. S is set, R is reset. 5V CLK CP CP If the initial state of DCBA- 0000, what are the next 5 states? REVIEW3 1. Implement the following Boolean function with a 4 x 1 multiplexer and external gates F(A, B, C, D)-? (0,2,6,8,9,12,14,15) 2. Implement function F using 8x1 multiplexer F(A, B, C, D) -(1, 3,4,11,12, 13, 14,15) 3. Constructing a NAND circuit to receive a number (3 bits) and output 1 if the input number is not a prime number. (Hint: 1. Find out which number is not a prime number, 2. simplify circuit using K-map, 3. Convert to the NAND circuit.) 4. Find the state table and state diagram of this circuits Clk Clk Clk Clock Using either JK, D, T flip-flop to design a counter with following repeated binary sequence 0,1,2,3,4,5,6,7 5. 6. Given this counter circuit, D is positive edged trigger flip flop. S is set, R is reset. 5V CLK CP CP If the initial state of DCBA- 0000, what are the next 5 states