Synchronous Counter Mod-12 Up/Down Exercise

In summary, the conversation discusses designing a Synchronous Counter Mod-12 Up/Down using only Flip-Flop Type D, with a binary input ##U## to determine whether the counter should increase or decrease. The conversation also mentions the Flip-Flop Type D equation ##Q_{t + 1} = D## and a question about adding a column for ##U## in the counter table. The speaker suggests seeking online help for more information and encourages the listener to come back with any remaining questions.
  • #1
Kernul
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Homework Statement


"Design a Synchronous Counter Mod-12 Up/Down, using only Flip-Flop Type D. A binary input ##U## that determines if the counter has to increase (##U = 1##) or decrease (##U = 0##).

Homework Equations


Flip-Flop Type D equation is
##Q_{t + 1} = D##

The Attempt at a Solution


I have done already this type of exercise but without the Up/Down. How should it be now? Do I have to add a column ##U## when I write the table? Like for example:
##q_3 q_2 q_1 q_0 | q_3' q_2' q_1' q_0' | D_3 D_2 D_1 D_0 | U##
##0 0 0 0 | 0 0 0 1 | 0 0 0 1 | -##
##0 0 0 1 | 0 0 1 0 | 0 0 1 0 | -##
etc.
And in that column, when do I have to write ##1## and when ##0## since it is up to the one that uses the counter? Or I write all "don't care" in the column? But wouldn't that be pointless?
 
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  • #2
You could easily find some online help with this .

A search on the obvious ' Up down counter with D flip flops ' returns a lot of useful information .

Please come back if you still have problems .
 
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1. What is a synchronous counter mod-12 up/down exercise?

A synchronous counter mod-12 up/down exercise is a type of digital circuit used in electronics and computer systems to count in both up and down directions. It is designed to count from 0 to 11 (12 numbers) and then reset back to 0, making it useful for a variety of applications such as time measurements, frequency division, and event sequencing.

2. How does a synchronous counter mod-12 up/down exercise work?

A synchronous counter mod-12 up/down exercise consists of a series of flip-flops that are connected in a specific sequence. The inputs of the flip-flops are connected to a clock signal, which is used to synchronize the counting process. The outputs of the flip-flops are connected to the next flip-flop in the sequence, creating a ripple effect. When the counter reaches its maximum value (11), it resets back to 0 and starts counting again in the opposite direction.

3. What are the advantages of using a synchronous counter mod-12 up/down exercise?

One of the main advantages of using a synchronous counter mod-12 up/down exercise is its versatility. It can be used to count in both directions, making it suitable for a wide range of applications. Additionally, it is a reliable and accurate counting circuit due to its synchronization with a clock signal. It also requires fewer components compared to other types of counters, making it cost-effective.

4. What are the limitations of a synchronous counter mod-12 up/down exercise?

One limitation of a synchronous counter mod-12 up/down exercise is its limited counting range. It can only count up to 11 before resetting, which may not be sufficient for some applications. Another limitation is its complexity, as the circuit requires careful design and proper synchronization to function correctly. It may also be prone to glitches if the inputs are not synchronized properly.

5. How is a synchronous counter mod-12 up/down exercise different from other types of counters?

A synchronous counter mod-12 up/down exercise differs from other types of counters in several ways. Firstly, it can count in both directions, unlike a standard binary counter that can only count up. Additionally, it requires fewer components compared to other types of counters, making it more cost-effective. It also provides a more accurate and reliable counting process due to its synchronization with a clock signal.

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