Goal: Design a counter with mode control:

$$ Cycles through the binary representation of decimal $0,2,$ and $3$

$$ A manual Mode switch determines the direction of the sequence:

o When Mode$=0,$ count down $(0.\mathrm{.}3.\mathrm{.}2.\mathrm{.}0.\mathrm{.}3.\mathrm{.}2..)$

o When Mode$=1,$ count up $(0.\mathrm{.}2.\mathrm{.}3.\mathrm{.}0.\mathrm{.}2.\mathrm{.}3..)$

$$ Asynchronous Clear switch can force state to $0$ at any time

$$ Use T flip$-$flops

$$ Where appropriate, take advantage of Don$$t Care conditions or XOR$/$XNOR logic

Design steps: Use the following blank pages to carry out the steps in the design process. Your steps must

be legible, use consistent notation, and follow a linear progression of ideas.

LogiSim build: When ready, open LogiSim $($on your laptop, or a classroom desktop computer$).$ Build your

design in LogiSim. Use devices $($not chips$).$ Take advantages of tunnels. Clearly label your components.