PLEASE MAKE SURE EVERYTHING IS CORRECT AND MAKE THE CIRCUIT:

Objective

To derive and implement a synchronous sequential circuit

Components

ICs: NOT $(7404),2-$Input AND $(7408),2-$Input OR $(7432),2-$Input XOR $(7486),$ D flip$-$flop $(7474),$ JK flip$-$flop $(7476),$ Resistors, LEDs, BCD to $7-$Segment Converter $(7447$ or $7446,$ Common Anode$),7-$Segment Display $($Common Anode$)$

Lab equipment: breadboard, power supply, function generator, multimeter

Problem

A circuit consisting of one input and three outputs as shown below is used to produce a Gray code count.

In this circuit, the primary input $\backslash (\backslash$boldsymbol$\{$F w d$\}\backslash )$ acts as a control signal: when HIGH, the circuit produces a forward count $(000,\backslash (001,011,\backslash$ldots$)\backslash ),$ and when LOW, the circuit produces a backward count $\backslash ((000,100,101,\backslash$ldots$)\backslash ).$

The $3-$bit Gray code count required as the sequential circuit output is shown below.

Backward count when $\backslash (\backslash$boldsymbol$\{$F w d$\}=\backslash$mathbf$\{0\}\backslash )$

Forward count when $\backslash (\backslash$boldsymbol$\{$F w d$\}=1\backslash )$

Prelab

Perform the basic steps of design of sequential circuits by:

a$)$ Fully understand the given specifications.

b$)$ Use the specifications to create a state graph.

c$)$ Use the state graph to create a state table.

d$)$ Choose a state assignment and use it to create a state assigned table.

e$)$ Choose a flip$-$flop type and use it to create an excitation table.

f$)$ From the excitation table, derive K$-$maps and equations for the input equations.

g$)$ From the state assigned table, derive K$-$maps and equations for the output equations.

h$)$ Design logic to implement the input and output equations.

i$)$ Create a finished schematic.

Optional: Use Logisim to simulate.

In the lab

$*$Important Note: Pins $3,4,$ and $5$ of the $7447$ BCD Converter are the lamp test, blanking, and ripple blanking input

pins respectively. Based on the datasheet, these pins need to be connected to a value of $1$ for proper device operation.

$*$WARNING: Every segment in the $7-$segment component is an LED. Therefore, DO NOT FORGET TO INCLUDE

A RESISTOR FOR EVERY LED SEGMENT!! Failing to do so will destroy the component!

Implement the circuit obtained in the Prelab section.