Design 3 bit synchronous up counter using T Flip flop?

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These are the following steps to Design a 3 bit synchronous up counter using T Flip flop:

Step 1: To design a synchronous up counter, first we need to know what number of flip flops are required. we can find out by considering a number of bits mentioned in the question. So, in this, we required to make 3 bit counter so the number of flip flops required is 3 [2n where n is a number of bits].

Step 2: After that, we need to construct state table with excitation table.
Note: To construct excitation table from state table you should know the excitation table of respective flip flop, in this case, it is T flip flop. So check the excitation table for T flip flop Which is:

T Flip Flop Excitation Table

Present stateNext State   T
000
011
101
110

So, the above table is the excitation table for T Flip Flop.

State Table with  excitation  table

 Present State   Next State   Flip Flop
Q3Q2Q1Q'3Q'2Q'1T3T2T1
000001001
001010011
010011001
011100111
100101001
101110011
110111001
111000111

Above  table is created as per follow :

When Q3 =0 which is present state and Q3‘=0 which is next state then T3 become 0 [As per excitation table, have a look ]
Similarly, if Q3 is 0 and Q3‘ is 1 then T3  become 1.
In similar way it goes on .

Step 3: After making the excitation table the next thing  to do is dig out the equation from the boolean algebra or K map for the design of the counter. So, for T1 , Tand T3 we got 1,  Q1 and Q1.Q2

K-Map

For TFlip flop,

 

T3= Q1.Q2

For T2  Flip flop,

T2= Q1

For TFlip flop,

 

T1=1

Step 4: Lastly according to the equation got from K map create the design for 3 bit synchronous up counter.

In above design, T1 is getting input 1 and T2 is getting input from the output of the T1 flip flop and lastly, T3 is getting input from the output of T1  and T2 . A clock is attached to it which is in blue colour.

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This post was last modified on March 10, 2024

Sandeep Verma

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Sandeep Verma
Tags: 3 bit synchronous up counter Computer organisation computer orgranisation digital electronics synchronous up counter t flip flop