Homework Help Question & Answers

Finite state machine (FSM) counter design: Gray codes have a useful property in that consecutive numbers differ in only a single bit position. Table 1 lists a 3-bit modulo 8 Gray code representing the...

Finite state machine (FSM) counter design: Gray codes have a useful property in that consecutive numbers differ in only a single bit position. Table 1 lists a 3-bit modulo 8 Gray code representing the numbers 0 to 7. Design a 3-bit modulo 8 Gray code counter FSM.

a) First design and sketch a 3-bit modulo 8 Gray code counter FSM with no inputs and three outputs, the 3-bit signal Q2:0. (A modulo N counter counts from 0 to N − 1, then repeats. For example, a watch uses a modulo 60 counter for the minutes and seconds that counts from 0 to 59.) When reset, the output should be 000. On each clock edge, the output should advance to the next Gray code. After reaching 100, it should repeat with 000.

Clearly show your black box, state transition diagram, next state and output tables, your state encodings, next state and output equations, and circuit diagram.

b) Now add an UP input. If UP = 1, the counter advances to the next number (i.e., from 000→001, 001→011, etc.). If UP = 0, the counter retreats to the previous number (i.e., from 000→100, 100→101, 101→111, etc.). Go through all the steps of FSM design (1. Identify inputs and outputs 2. Sketch state transition diagram 3. Write state transition table 4. Select state encodings 5. Rewrite state transition table with state encodings 6. Write output table 7. Write Boolean equations for next state and output logic 8. Sketch the circuit schematic). Clearly label each part and finish with drawing the circuit that implements the FSM.Table 1. Gray Codes Number Gray Code 001 011 010 110 2 4 101 100

Table 1. Gray Codes Number Gray Code 001 011 010 110 2 4 101 100
0 0
Next > < Previous
ReportAnswer #1

Oesion cf 3-b& modulo 8 gray code Coll n esm gTay Code Counte ネGray cede sequence given în tabla has 8 stace 3 blt Countcs- L30 4 , S oo S4 to (2) o i (3) 11 (4)o 0,95)Gio Cvt 0 2. BooCocot o (LSa) 月1 06 90 FFo fCi FFR 10 ofup reset,-d converter- o(K6) Men ufel the gray co e sequence feloosas 2epeat 2bit Couner s having stannely so, SI,, andita SlSu 35 101 S6 S? State transit 0ๆ able S tales 001 ΟΙ (6) S3- 01 O (7) S3# 01 1 (6) S4 100 As oops are consid eredl, Mertk statamifev Next # Rodean equat bus uR 0o o1 Soup 01 猀ー易 4291 CO O0 Ci LDD2 Dl PF2 FFI 42 vo 3

Know the answer?
Add Answer of:
Finite state machine (FSM) counter design: Gray codes have a useful property in that consecutive numbers differ in only a single bit position. Table 1 lists a 3-bit modulo 8 Gray code representing the...
Your Answer: Your Name: What's your source?
Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
Free Homework App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.