Problem 1 Design a 4-bit combinational circuit 2's complementer. Determine the Boolean expression of the output signals W and X in sum-of-products (SOP) form. Only the required output signals should be shown on vour answer sheet. Encircle/box your final answer. NOTE: Justify your answer by showing the circuit's truth table. Your answer should conform to the correct entries in your truth table. Inputs C Outputs Y minterm A в D (m) W NOTES Required format of the truth table in Problem 1. Input entries should be listed in ascending order. No other information should be shown on the table except those indicated above. Show complete input and output entries on map. Show complete table and map grid lines. Appropriately label all groups on map.

6. Assume that we are working with a sequential circuit that takes a single input X, and in turn manipulates a JK flip flop and a D flip flop. It is pictured below. Draw the characteristic table (i.e., the extended truth table) for the circuit, using the column headers in the order X, D(t), JK(t), D(t + 1), JK(t + 1), where t and t + 1 refer to the value output on the Q line in the current cycle and the next cycle respectively. You can assume that the clock signal is being passed to the flip flops on each clock tick (i.e., in the normal fashion). X D 08 J >C K Q ?

Please draw wave form according to equations at the top of the page. A truth table might also help me to understand. Thank you.

Design a code converter that converts an unsigned number a into its negative 2's complement representation -a. Specifically, the circuit has two inputs: a1 and ao, and three outputs: b1 and bo (the equivalent to -a) and valid, which is 1 when -a can be represented in 2's complement and O otherwise. 1. Write the truth table for the code converter. 2. Give the simplest SOP expressions for the functions b1, bo, and valid.