Design a 5-bit Binary Counter for Homework Equations - No Quotation Marks

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Discussion Overview

The discussion revolves around designing two specific types of counters for a homework assignment. The first counter is required to count from 0 to 23 and then reset, while the second counter must follow a non-sequential counting pattern. Participants explore various counter designs and approaches to achieve these tasks.

Discussion Character

  • Homework-related
  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • One participant suggests using a 5-bit binary counter with an AND gate to detect when the count of 23 is reached for the first question.
  • Another participant proposes that for the second question, a 3-bit binary counter should be used, along with gates to convert the output to the desired counting sequence.
  • A later reply emphasizes the importance of not resetting the flip-flops on the count of 23, noting that the reset input is asynchronous.
  • One participant expresses having solved the first question but continues to struggle with the second question.

Areas of Agreement / Disagreement

Participants generally agree on the approaches for the first question but express differing levels of confidence and understanding regarding the second question. The discussion remains unresolved, particularly concerning the implementation details for the second counter.

Contextual Notes

Participants mention the need for conversion tables and K-maps for the second counter, indicating potential complexities in the design process that are not fully resolved in the discussion.

Hala91
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Homework Statement


1)Design a counter that counts from 0 to 23 Then resets?
2)design a counter that counts as shown below:
(1)to(5)to(7)to(8)to(2)to(3)to(6)to(4)
in another way:
1-5-7-8-2-3-6-4

Homework Equations


I didn't know weather to use:
1)5-bit synchronous binary counter
2)5-bit synchronous Decade counter
3)5-bit asynchronous binary counter
4)5-bit asynchronous Decade counter
Please Help I need to solve them so bad :cry:

The Attempt at a Solution


Q1)using a 5-bit binary counter and an AND gate on the outputs to detect when the count of 23 (10111) is reached
Q2)3-bit binary counter
 
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Hala91 said:

Homework Statement


1)Design a counter that counts from 0 to 23 Then resets?
2)design a counter that counts as shown below:
(1)to(5)to(7)to(8)to(2)to(3)to(6)to(4)
in another way:
1-5-7-8-2-3-6-4


Homework Equations


I didn't know weather to use:
1)5-bit synchronous binary counter
2)5-bit synchronous Decade counter
3)5-bit asynchronous binary counter
4)5-bit asynchronous Decade counter
Please Help I need to solve them so bad :cry:


The Attempt at a Solution


Q1)using a 5-bit binary counter and an AND gate on the outputs to detect when the count of 23 (10111) is reached
Q2)3-bit binary counter

You have the right approach for both. In the 2nd one, you will want to use gates to convert the output of the 3-bit counter to the desired numbers. Write a table of the conversion values, do the K-maps, and make the gate logic for the bits of the final output values.
 
Well I have just solved the first question but I'm having trouble with the second one...
Thanks A lot :)
 
BTW, on the first question. Remember that FFs reset input is asynchronous, so you don't want to reset on the count of 23...
 

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