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Short note on: Decade Counter.

Mumbai University > COMPS > Sem 3 > Digital Logic Design and Analysis

Marks: 7 M

Year: Dec 14

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Decade Counter:

  • A decade counter is one of which goes through 10 unique combinations of output and then reset as the clock proceeds.
  • We may use some sort of feedback in 4 bit binary counter to skip any six of the sixteen possible output state from 0000 to 1111 to get decade counter.
  • A decade counter does not necessarily count from 0000 to 1001, it could count as 0000,0001,0010,1000,1010,1011,1110,0000,0001, and so on….
  • Following fig shows the decade counter having a binary count it always equivalent to the input pulse count.
  • The circuit is essentially, a ripple counter with which count upto 16.
  • But we desire, a circuit operation in which count variable advance from 0 to 9 and their reset to 0 for a new cycle.

Fig. Decade Counter

$$\text{Fig. Decade Counter}$$

The reset counter is accomplished at the desired count as follows:

  1. With counter RESET count=0000 the counter is ready to stage counter cycle.

  2. Input pulse advance counter in binary sequence upto count of a (count=1001)

  3. The next count pulse advance the count to10 count=1010.

  4. A logic NAND Gate decode the count of 10 providing a level of change at that time of trigger the one shot unit which then reset all counter stages.

  5. Thus, the pulse after the counter is at count=9 effectively results in the counter going to count=0

  6. The NAND gate provides output 1 until count reaches to 10.

  7. When the count becomes 10, then the NAND gate output logical goes to 0,provding a 1 to 0 logic change to trigger the one shot unit, which provides a short pulse to all the counter stage.

Input Pulse D C B A
0 0 0 0 0
1 0 0 0 1
2 0 0 1 0
3 0 0 1 1
4 0 1 0 0
5 0 1 0 1
6 0 1 1 0
7 0 1 1 1
8 1 0 0 0
9 1 0 0 1
10 1 0 1 0
0 0 0 0 0
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