1. Design 2 input AND, OR, and EXOR gates using 2 input NAND gate. Answer 2. Design a circuit which doubles the frequency of a given input clock signal. Answer 3. Implement a D-latch using 2x1 multiplexer(s). Answer 4. Give the excitation table of a JK flip-flop. Answer 5. Give the Binary, Hexadecimal, BCD, and Excess-3 code for decimal 14. Answer 14: Binary: 1110 Hexadecimal: E BCD: 0001 0100 Excess-3: 10001 6. What is race condition? Answer 7. Give 1's and 2's complement of 19. Answer 19: 10011 1's complement: 01100 2's complement: 01101 8. Design a 3:6 decoder. Answer 9. If A*B=C and C*A=B then, what is the Boolean operator * ? Answer * is Exclusive-OR. 10. Design a 3 bit Gray Counter. Answer