{"id":616,"date":"2019-09-04T23:21:13","date_gmt":"2019-09-04T17:36:13","guid":{"rendered":"https:\/\/bcisnotes.com\/secondsemester\/?p=616"},"modified":"2021-04-01T15:05:57","modified_gmt":"2021-04-01T09:20:57","slug":"j-k-flip-flop-and-t-flip-flop","status":"publish","type":"post","link":"https:\/\/bcisnotes.com\/secondsemester\/digital-systems\/j-k-flip-flop-and-t-flip-flop\/","title":{"rendered":"J-K Flip-flop And T-Flip-flop || Sequential Logic || Bcis Notes"},"content":{"rendered":"

J-K Flip-flop And T-Flip-flop<\/h2>\n

J-K Flip-flop And T-Flip-flop both are the types of flip-flops. J-K flip-flop is basically a gated S-R flip-flop with the addition of the clock input circuit. T-flip-flop is known as toggle flip-flop.<\/p>\n

\u00a0J-K flip-flop<\/strong><\/p>\n

A J-K flip-flop is basically a gated S-R flip-flop with the addition of the clock input circuit. A J-K flip-flop is a refinement of S-R flip-flop in that the indeterminate states of S-R type is defined in J-K type. Input J and K behaves input S and R to set and clear the flip-flop. When the inputs are applied to both J and K simultaneously the flip-flop switches to its complement state i.e, if Q=0, it switches to Q=1, and vice-versa.<\/p>\n

Diagram of \u00a0J-K flip-flop<\/strong><\/p>\n

\"J-K<\/p>\n

Truth table for \u00a0J-K flip-flop<\/strong><\/p>\n

 <\/p>\n\n\n\n\n\n\n\n\n
<\/td>\n<\/td>\nPS(present state)<\/td>\nNS(next state)<\/td>\n<\/tr>\n
J<\/td>\nK<\/strong><\/td>\nQn<\/sub><\/strong><\/td>\nQn+1<\/sub><\/strong><\/td>\n<\/tr>\n
0<\/td>\n0<\/td>\nX<\/td>\nQn<\/sub><\/td>\n<\/tr>\n
0<\/td>\n1<\/td>\nX<\/td>\n0<\/td>\n<\/tr>\n
1<\/td>\n0<\/td>\nX<\/td>\n1<\/td>\n<\/tr>\n
1<\/td>\n1<\/td>\nX<\/td>\n\u01ecn <\/sub>-toggle<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Characteristics table for J-K flip-flop<\/strong><\/p>\n

The next state (Qn+1<\/sub>) is dependent on the present input J and K and the previous state.<\/p>\n\n\n\n\n\n\n\n\n\n\n\n
Qn<\/sub><\/strong><\/td>\nJ<\/strong><\/td>\nK<\/strong><\/td>\nQn+1<\/sub><\/strong><\/td>\n<\/tr>\n
0<\/td>\n0<\/td>\n0<\/td>\nQn<\/sub>=0<\/td>\n<\/tr>\n
0<\/td>\n0<\/td>\n1<\/td>\n0<\/td>\n<\/tr>\n
0<\/td>\n1<\/td>\n0<\/td>\n1<\/td>\n<\/tr>\n
0<\/td>\n1<\/td>\n1<\/td>\n\u01ecn<\/sub>=0=1<\/td>\n<\/tr>\n
1<\/td>\n0<\/td>\n0<\/td>\nQn<\/sub>=1<\/td>\n<\/tr>\n
1<\/td>\n0<\/td>\n1<\/td>\n0<\/td>\n<\/tr>\n
1<\/td>\n1<\/td>\n0<\/td>\n1<\/td>\n<\/tr>\n
1<\/td>\n1<\/td>\n1<\/td>\n\u01ecn<\/sub>=1=0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n

Excitation table for J-K flip-flop<\/strong><\/p>\n

Excitation table can be derived from the characteristics table.<\/p>\n\n\n\n\n\n\n\n
Qn<\/sub><\/strong><\/td>\nQn+1<\/sub><\/strong><\/td>\nJ<\/strong><\/td>\nK<\/strong><\/td>\n<\/tr>\n
0<\/td>\n0<\/td>\n0<\/td>\nX<\/td>\n<\/tr>\n
0<\/td>\n1<\/td>\n1<\/td>\nX<\/td>\n<\/tr>\n
1<\/td>\nO<\/td>\nX<\/td>\n1<\/td>\n<\/tr>\n
1<\/td>\n1<\/td>\nX<\/td>\n0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n

 <\/p>\n

Characteristics equation for J-K flip-flop<\/strong><\/p>\n

The characteristics equation\u00a0 can be generated by the characteristics table using K- map<\/p>\n

\"\"<\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

T-flip-flop<\/strong><\/p>\n

T-flip-flop is known as toggle flip-flop. The t-flip-flop is the modification of J-K flip-flop. T-flip-flop is obtained from J-K flip-flop by connecting both J and K together.<\/p>\n

Diagram<\/strong><\/p>\n

\"J-K<\/p>\n

 <\/p>\n

Truth table<\/strong><\/p>\n\n\n\n\n\n
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 T<\/strong><\/td>\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Qn<\/sub>(PS)<\/strong><\/td>\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Qn+1<\/sub>(NS)<\/strong><\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0<\/td>\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 X<\/td>\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Qn<\/sub><\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1<\/td>\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 X<\/td>\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u01ecn<\/sub><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n

Characteristics table<\/strong><\/p>\n\n\n\n\n\n\n\n
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 T<\/strong><\/td>\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Qn<\/sub><\/strong><\/td>\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Qn+1<\/sub><\/strong><\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0<\/td>\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0<\/td>\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0<\/td>\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1<\/td>\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1<\/td>\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0<\/td>\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1<\/td>\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1<\/td>\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n

Excitation table<\/strong><\/p>\n\n\n\n\n\n\n\n
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Qn<\/sub><\/strong><\/td>\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Qn+1<\/sub><\/strong><\/td>\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 T<\/strong><\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0<\/td>\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0<\/td>\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0<\/td>\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1<\/td>\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1<\/td>\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a00<\/td>\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1<\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1<\/td>\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 1<\/td>\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n

Master-Slave J-K Flip-flop<\/strong><\/p>\n

The master-slave flip-flop is basically a combination of two J-K flipflops connected together in a series configuration. out of these one-acts as a master other as slave. The output from the master flip-flop is connected to the two input of the slave flip-flop whose output is a feedback to the input of the master flip-flop.<\/p>\n

A working condition of the master-slave flip-flop.<\/strong><\/p>\n

    \n
  1. When the clock plus go to one the slave is isolated J and K may affect the state of the system. The slave flip-flop is isolated unit the clock plus goes to zero. When the clock plus goes to zero information is passed from master to the slave then, the output is obtained.<\/li>\n
  2. Firstly master flip-flop is a positively level trigger so the master responded before the slave.<\/li>\n
  3. If J=0, K=0 the flip-flop is disabled and\u00a0 Q remain constant.<\/li>\n
  4. When J=0 and K=1 the high Q-output of master goes to the K-input of slave the positive transection of the clock sets the slave copying the master.<\/li>\n
  5. If J=1, K=0 the high Q-output of the master goes to the J-input of the slave and negative transection of the clock sets the slave copying the master.<\/li>\n
  6. If J=1, K=1 toggles on the positive transection of a clock and thus slave toggle on the negative transection of clock.<\/li>\n<\/ol>\n

    Diagram<\/strong><\/p>\n

    \"\"<\/p>\n

     <\/p>\n

    You may also likeSet(S)-Reset(R) Flipflop || Sequential Logic || Bcis Notes<\/a><\/p>\n

    <\/div>