$\backslash$table$[[$Present State,Next State,Inputs$],[$FWD$($x$0),$Q$(\backslash$times $1),$Qb$(\backslash$times $2),$Qc$(\backslash$times $3),$Qa$+,$Qb$+,$Qc$+,$J$,$K$,$T$,$D$,],[0,0,0,0,1,0,0,1,$d$,0,0,],[0,0,0,1,0,0,0,0,$d$,0,0,],[0,0,1,0,0,1,1,0,$d$,0,1,],[0,0,1,1,0,0,1,0,$d$,1,1,],[0,1,0,0,1,0,1,$d$,0,0,1,],[0,1,0,1,1,1,1,$d$,0,1,1,],[0,1,1,0,0,1,0,$d$,1,0,0,],[0,1,1,1,1,1,0,$d$,0,0,0,],[1,0,0,0,0,0,1,0,$d$,0,1,],[1,0,0,1,0,1,1,0,$d$,1,1,],[1,0,1,0,1,1,0,1,$d$,0,0,],[1,0,1,1,0,1,0,0,$d$,0,0,],[1,1,0,0,0,0,0,$d$,1,0,0,],[1,1,0,1,1,0,0,$d$,0,0,0,],[1,1,1,0,1,1,1,$d$,0,0,1,],[1,1,1,1,1,0,1,$d$,0,1,1,]].$ In this project the goal is to create a simulated circuit using Logisim, or another similar program, to

create a working circuit that will continually print out reflected binary code otherwise known as Gray

code.

In this case we want $3-$bit Gray code. The table below will demonstrate the binary values compared to

Gray code:

The circuit will be a sequential combinational circuit with a clock that produces the next Gray code

values in the list. For example, if the current Gray code is $000,$ the next output will be $001$ which will

change with the clock cycle.

Requirements:

The circuit should allow the code to output the Gray in the forward direction or backwards

direction based on one input value. That is$,$ the output will traverse down the list as the forward

direction and up the list as the backwards direction.

You must use one J$/$K Flip Flop, one T Flip Flop, and one D Flip Flop

You must use only NOR gates for each combinational circuit leading into a flip$-$flop.

You may work on the project in groups or individually. You can get help from all classmates too and I will

be helping as well. It will be due at the end of the day on the official final exam day. Each student will

submit a circuit. if done in a group include the names in the submission. No presentations will be done

for this project.