(a)Design a logic circuit that opens a lock whenever one processes the correct number on each…

(a)Design a logic circuit that opens a lock whenever one processes the correct number on each numpad. We encode each decimal number of the numpad using BCD encoding. We expect that each group of 4 bits be in the range from 0000 to 1001, the values from 1010 to 1111 are assumed not to occur. (Hint:Create two circuits; one that verifies the first number (9) and the other that verifies the second number (5). Then perform the AND operation on the two outputs. This avoids creating a truth table with 8 inputs!)
(b) Construct a multiplexer with two and one multiplxers. Use block diagrams only.
(c) Design an encoder (logic circuit diagram using gates) that take input one of the decimal numbers from 0 to 13 and give its binary code at the output. When input is greater than 13 and less than 16 encode must give binary code at the output.
Q No. 2:(Marks: 10)
(a)Design a counter with the following repeated binary sequence: 5, 9, 3, 7, 2. Use active high input JK flip-flops. Show all steps of your design.
(b) Use BCD to seven segment decoders to represent 408.097 on the combination of seven segment display. It is must to use 8 seven segment display to understand the implementation of the concept of leading and trailing zero suppression.
(c) The following serial data are applied to the flip-flop through the AND gates as indicated in the figure below. Determine the resulting serial data that appear on the output Q. There is one clock pulse for each bit time. Assume that Q is initially and that and are HIGH. Right most bits are applied first.

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