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part1 It should have no inputs and four input wires consolidated by a splitter into one...

part1
It should have no inputs and four input wires consolidated by a splitter into one 4-bit output pin.


The outputs should be thought of as four digits of a binary number. Your circuit should initially output the number 0 (four 0s in a row). Your circuit should cycle through the first six nonnegative multiples of three (0, 3, 6, ... 12, 15, 0, 3, ...). Each clock cycle, your circuit should output the next number in this sequence.

part 2

As a reminder, in part 1, you had to build a circuit that cycles through the first six nonnegative multiples of three (0, 3, 6, ... 12, 15, 0, 3, ...). Each clock cycle, your circuit should output the next number in this sequence. Your output should be consolidated into one 4-bit output pin (NOT four 1-bit output pins).


As a next step, add a reset wire to your circuit from part 1. This should be in the form of a single input bit called R (for reset). If R is a 1, the next number your circuit outputs should be a 0 (four 0s in a row), regardless of what it would have been. If R is a 0, your circuit should move on to the next number in its sequence.

part3
For part 3, add an input bit to your circuit from part 1 (NOT to your circuit from part 2) called U (for up). If U is a 1, your circuit should count up through the sequence of multiples of 3 as normal. If U is a 0, your circuit should count down through the sequence of multiples of 3 (0, 15, 12, ..., 6, 3, 0, 15, 12...).

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