edited by
10,334 views
12 votes
12 votes

A modulus -$12$ ring counter requires a minimum of

  1. $10$ flip-flops
  2. $12$ flip-flops
  3. $8$ flip-flops
  4. $6$ flip-flops
edited by

3 Answers

Best answer
12 votes
12 votes
12 flip flops required.
In ring counter, n flip flops generate n states where in twisted ring counter n flip flops generate 2n states.
for more info
http://www.electronics-tutorials.ws/sequential/seq_6.html
1 votes
1 votes

For any counter:-

  1. There are a certain number of Flip Flops from which it is built.
  2. There are a certain number of states that the counter can be in. Each state represents a unique value.

Synchronous Counters:

$n$ Flip Flops count $2^n$ different values.

Or you can say that $n$ Flip Flops result in $2^n$ states, and each state represents a distinguishable value.


 

Asynchronous Counters (aka Ripple Counters):

$n$ Flip Flops count $2^n$ different values.

Or you can say that $n$ Flip Flops result in $2^n$ states, and each state represents a distinguishable value.


 

Johnson Counter: (aka Twisted Ring Counter, Switch-Tail Ring Counter)

$n$ Flip Flops count $2n$ different values.

Or you can say that $n$ Flip Flops result in $2n$ states, and each state represents a distinguishable value.


 

Ring Counters:

$n$ Flip Flops count $n$ different values.

Or you can say that $n$ Flip Flops result in $n$ states, and each state represents a distinguishable value.

 

Now unless explicitly mentioned otherwise, a ring counter should be assumed as a straight ring counter, which leads us to Option B

Answer:

Related questions

9 votes
9 votes
5 answers
1
go_editor asked Jun 17, 2016
6,768 views
The boolean expression $\text{AB + A}\text{B}'+\text{A}'\text{C + AC}$ is independent of the boolean variable$\text{A}$$\text{B}$$\text{C}$None of these
10 votes
10 votes
6 answers
2
go_editor asked Jun 16, 2016
10,552 views
Minimum number of $2 \times 1$ multiplexers required to realize the following function, $f = \overline{A} \;\overline{B} C + \overline{A}\; \overline{B} \;\overline{C}$As...
10 votes
10 votes
4 answers
3
go_editor asked Jun 16, 2016
4,403 views
The complement of the Boolean expression $\text{AB}(\overline{\text{B}}\text{C + AC})$ is$(\overline{\text{A}} + \overline{\text{B}})+(\text{B} + \overline{\text{C}}). (\...
13 votes
13 votes
2 answers
4
go_editor asked Jun 15, 2016
4,912 views
Which of the given number has its $\text{IEEE - 754}$ $32$-bit floating point representation as $\text{(0 10000000 110 0000 0000 0000 0000 0000)}$$2.5$$3.0$$3.5$$4.5$