3-Bit Asynchronous UP Counter || Registers and Counters || Bcis Notes

3-Bit Asynchronous UP Counter || Registers and Counters || Bcis Notes

3-Bit Asynchronous UP Counter

A 3-bit asynchronous binary counter is shown below. The basic operation is the same as that of the 2-bit asynchronous counter. The 3-bit counters as 8 state de to kit 3 flip-flops. A timing diagram is shown below. Notice that the counter progress through a binary count of 0 through 7 and the recycle to the 0 states.

State diagram

3-Bit Asynchronous UP Counter

Flip-flop State.

Clock pulse

QC QB

QA

0 (initially)

0 0

0

1

0 0

1

2

0 1

0

3

0 1

1

4

1 0

0

5

1 0

1

6

1 1

0

7

1 1

1

8(recycle)

0 0

0

 

Logic Diagram

3-Bit Asynchronous UP Counter

A timing diagram of 3-bit Asynchronous/ripple UP counter

3-Bit Asynchronous UP Counter

Mode 10/BCD/Ripple/asynchronous UP Counter

A decimal counter follows the sequence of 10 states and deducts to zero(0), After the count of nine(9), such a counter must have at least 4 lip-lops to represent each decimal digit since a decimal digit each represented by binary code with at least 4 bits. The logic diagram for the BCD ripple counter is shown in the figure. The 4 output is assigned by letting us symbol(Q) with the alphabetic subscript.

State Diagram

3-Bit Asynchronous UP Counter

Transition table

Counter Reset its output back to zero.

K-Map for configuration for clear

For clear = QB.QD…….i
whenever clear =0, the output Q=0(Reset)
when RESET=0, the output (Q)=1(Set).

Logic Diagram

 

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