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Inter-conversion of Flip Flops

Conversion of different types of flip flops needed to modify and to change the properties or behavior of one type of flip flop to other, by conversion of flip flops you can also make a new behavior circuit to your own.

In this section you study the following conversions:

1) SR flip flop to JK flip flop

2) SR flip flop to D flip flop

3) SR flip flop to T flip flop

4) JK flip flop to D flip flop

5) JK flip flop to T flip flop

6) D flip flop to JK flip flop

7) D flip flop to T flip flop

8) T flip flop to JK flip flop

9) T flip flop to D flip flop

In above are the maximum numbers of conversions that can be performed are listed note that conversion from JK, D, T to RS are not possible due to race or forbidden condition in RS flip flop.

For conversion from one flip flop to another flip flop we need the few things, they are…

  1. Characteristic table of target flip flop (the flip flop that we want to make)
  2. Excitation table of given flip flop (the flip flop from which we convert {Given flip flop})
  3. Then, find excitation value in relation to characteristic table
  4. Then, obtain an expression using k-map
  5. And in last draw suitable logic diagram using Boolean expression.

1. SR flip flop to JK flip flop conversion:

a) Characteristic table of JK flip flop.

Here Qn is present output or we say past output (different peoples think and teach different) and Q(n+1) is next output.

b) Excitation table of SR flip flop.

c) Find excitation value in relation to characteristic table.

Compare the values of Qn and Q(n+1) blow from above excitation table and write their equivalent result.

d) Obtain the expressions using k-map.

K-map for S

Boolean expression for S is represented as:

S =Q̅nJ

K-map for R

Boolean expression for R is represented as:

R =QnK

e) Final logic diagram:

2. SR flip flop to D flip flop conversion:

a) Characteristic table of D flip flop.

b) Excitation table of SR flip flop.

c) Find excitation value in relation to characteristic table.

Compare the values of Qn and Q(n+1) blow from above excitation table and write their equivalent result.

Note that we only put that values which we taken in above characteristic table (we can take 0011 or 0101 any first and then other in{Qn and D columns}in characteristic table).

d) Obtain the expressions using k-map.

K-map for S

Boolean expression for S is represented as:

S =D

K-map for R

Boolean expression for R is represented as:

R =D̅

e) Final logic diagram:

3. SR flip flop to T flip flop conversion:

a) Characteristic table of T flip flop.

b) Excitation table of SR flip flop.

c) Find excitation value in relation to characteristic table.

Compare the values of Qn and Q(n+1) blow from above excitation table and write their equivalent result.

Note that we only put that values which we taken in above characteristic table (we can take 0011 or 0101 any first and then other in{Qn and T columns}in characteristic table).

d) Obtain the expressions using k-map.

K-map for S

Boolean expression for S is represented as:

S =TQ̅n

K-map for R

Boolean expression for R is represented as:

R =TQn

e) Final logic diagram:

4. JK flip flop to D flip flop conversion:

a) Characteristic table of D flip flop.

b) Excitation table of JK flip flop.

c) Find excitation value in relation to characteristic table.

Compare the values of Qn and Q(n+1) blow from above excitation table and write their equivalent result.

Note that we only put that values which we taken in above characteristic table (we can take 0011 or 0101 any first and then other in{Qn and D columns}in characteristic table).

d) Obtain the expressions using k-map.

K-map for J

Boolean expression for J is represented as:

J =D

K-map for K

Boolean expression for K is represented as:

K =D̅

e) Final logic diagram:

5. JK flip flop to T flip flop conversion:

a) Characteristic table of T flip flop.

b) Excitation table of JK flip flop.

c) Find excitation value in relation to characteristic table.

Compare the values of Qn and Q(n+1) blow from above excitation table and write their equivalent result.

Note that we only put that values which we taken in above characteristic table (we can take 0011 or 0101 any first and then other in{Qn and T columns}in characteristic table).

d) Obtain the expressions using k-map.

K-map for J

Boolean expression for J is represented as:

J =T

K-map for K

Boolean expression for K is represented as:

K =T

e) Final logic diagram:

6. D flip flop to JK flip flop conversion:

a) Characteristic table of JK flip flop.

b) Excitation table of D flip flop.

c) Find excitation value in relation to characteristic table.

Compare the values of Qn and Q(n+1) blow from above excitation table and write their equivalent result.

d) Obtain the expressions using k-map.

K-map for D

Boolean expression for D is represented as:

D =K̅Qn + JQ̅n

e) Final logic diagram:

7. D flip flop to T flip flop conversion:

a) Characteristic table of T flip flop.

b) Excitation table of D flip flop.

c) Find excitation value in relation to characteristic table.

Compare the values of Qn and Q(n+1) blow from above excitation table and write their equivalent result.

Note that we only put that values which we taken in above characteristic table (we can take 0011 or 0101 any first and then other in{Qn and T columns}in characteristic table).

d) Obtain the expressions using k-map.

K-map for D

Boolean expression for D is represented as:

D =Q̅nT + Qn

So, D =QnꚚT

e) Final logic diagram:

8. T flip flop to JK flip flop conversion:

a) Characteristic table of JK flip flop.

b) Excitation table of T flip flop.

c) Find excitation value in relation to characteristic table.

Compare the values of Qn and Q(n+1) blow from above excitation table and write their equivalent result.

d) Obtain the expressions using k-map.

K-map for T

T =JQ̅n + KQn

e) Final logic diagram:

9. T flip flop to D flip flop conversion:

a) Characteristic table of D flip flop.

b) Excitation table of T flip flop.

c) Find excitation value in relation to characteristic table.

Compare the values of Qn and Q(n+1) blow from above excitation table and write their equivalent result.

Note that we only put that values which we taken in above characteristic table (we can take 0011 or 0101 any first and then other in{Qn and D columns}in characteristic table).

d) Obtain the expressions using k-map.

K-map for T

Boolean expression for T is represented as:

T =Q̅nD + Qn

So, D =QnꚚD

e) Final logic diagram:

Conversion of different types of flip flops needed to modify and to change the properties or behavior of one type of flip flop to other, by conversion of flip flops you can also make a new behavior circuit to your own. In this section you study the following conversions: 1) SR flip flop to JK flip flop 2) SR flip flop to D flip flop 3) SR flip flop to T flip flop 4) JK flip flop to D flip flop 5) JK flip flop to T flip flop 6) D flip flop to JK flip flop 7) D flip…

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