Digital logic questions -- Designing counters with flip-flops

[CsStudent]

Homework Statement

First question :

Using JK flip flops, design a counter that counts 0-2-4-5 and back to zero if the input is 1. And it will count 0-5-4-2 and back to 0 if the input is 0. The count will be displayed on 7 segment display.


second question :

Design a sequential circuit with two T flip-flops A and B, and one input x . When x = 0, the state of the circuit remains the same. When x = 1, the circuit goes through the state transitions from 00 to 01, to 11, to 10, back to 00, and repeats.

Relevant Equations

those questions are realted to digial logic design (exactly chapter 5 )

Here’s what I’ve tried so far:

1. For the JK flip-flop counter: I’ve looked into how to design counters using JK flip-flops, but I’m not sure how to implement the specified counting sequence (0-2-4-5 and back, depending on the input).
2. For the sequential circuit with T flip-flops: I understand the state transitions but am struggling to connect them to the flip-flop design.

 

[BvU]

!

Homework Statement: First question :

Using JK flip flops, design a counter that counts 0-2-4-5 and back to zero if the input is 1. And it will count 0-5-4-2 and back to 0 if the input is 0. The count will be displayed on 7 segment display.
...
I’ve looked into how to design counters using JK flip-flops

So post a design and ask a relevant question (like: what do I have to do to skip over a count of 1?).

PF rules require you post a best effort before we are allowed to help.

PS "Chapter 5" of what ?

$\$

 

[CsStudent]

PS "Chapter 5" of what ?

Chapter 5 of digital logic design book (my uni use the 5th edition )

 

[berkeman]

You should say what you have learned so far about how to use State Tables and State Diagrams to design sequential logic. If you draw such diagrams and tables, you can use the "Attach files" link below the Edit window to attach your diagrams.