Please peovide the circuts for each question

1. Design an advanced circular shifter that the shifter is able to shift right directly by multiple bits. The shifter should have four statuses: no shift, shift 1 digit, shift 2 digits, shift 3 digits. The use of 4-2 Multiplexers is required (Do not use flip-flop). (3) please give circut for multiplexer and the whole shifter

2. Please design a sequential circuit by using JK flip-flop. Your circuit should repeat generating the follow timing diagram. Q4 is the left most digit, and Q1 is the right most digit. (Hint: We used the same method to design synchronous counter. Since you can get all the output values from the waveform, you might need excitation table of JK and truth table of the circuit to find out the logic expressions of each J and K.) (5)

3 Please design a 3-bits asynchronous counter that have both count up and count down ability. You should use 2-1 multiplexer to resolve the problem, so that you can switch between up and down with one switch. (hint: count up and count down use different clock, which are inverse to each other. So, switching between up and down is actually changing the clock). (5) Please provide circut for multiplexer and counter