# Sequential Circuits1 SEQUENTIAL CIRCUITS. Sequential Circuits2 Two Types of Switching Circuits Combinational Circuits –Combinational circuits have only.

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Sequential Circuits1 SEQUENTIAL CIRCUITS

Sequential Circuits2 Two Types of Switching Circuits Combinational Circuits –Combinational circuits have only input and output. Output depends on input. –Example: AND,OR,NAND,NOR,XOR etc Sequential Circuits –Sequential circuits have input, present state, next state and output. Next state depends upon present state and input. Output depends upon present state and input –Example: Flip-Flops etc

Sequential Circuits3 FLIP FLOPS AND THEIR APPLICATIONS 1.

Sequential Circuits4

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9 When S = 1, Q + = 1 When R = 1, Q + = 0 When T = 1, State changes When any two out of S,R,T equals 1, we have don’t care

Sequential Circuits10

Sequential Circuits11 Example 1: Design a modulo-8 binary -up counter using T- Flip Flop Modulo 8 counter : Counts upto 7. So we need three Flip-flops for eight states

Sequential Circuits12 modulo-8 counter

Sequential Circuits13 modulo-8 counter

Sequential Circuits14 modulo-8 counter

Sequential Circuits15 modulo-8 counter

Sequential Circuits16 Modulo 8 counter : Counts upto 7. So we need three Flip-flops for eight states Example 2: Design a modulo-8 binary -up counter using T- Flip Flop with input x

Sequential Circuits17 modulo 8 counter with I/p x

Sequential Circuits18 modulo 8 counter with I/p x

Sequential Circuits19 modulo 8 counter with I/p x

Sequential Circuits20 modulo 8 counter with I/p x

Sequential Circuits21 Example 3: Design a binary decade counter using SR- Flip Flop without input x Decade Counter: Counts up to 9. So we need four Flip-Flops for ten states

Sequential Circuits27 Example 4: Design a modulo-8 counter which counts in the way specified below, use J-K Flip-Flop.

Sequential Circuits28 TRUTH TABLE: present statenext state

Sequential Circuits29 Gray code counter Y3Y3

Sequential Circuits30 Y2Y2 Gray code counter:

Sequential Circuits31 Y1Y1 Gray code counter:

Sequential Circuits32 Example 5: Design a T-Flip-Flop using S-R Flip-Flop Sol:

Sequential Circuits33 T Flip flop using S-R flipflop

Sequential Circuits34 Example 6: Design a J-K Flip Flop using S-R Flip Flop Sol:

Sequential Circuits35 J-K Flip Flop using S-R Flip Flop

Sequential Circuits36 Example 7: Design a sequential circuit given below using J-K FlipFlop

Sequential Circuits37 Truth Table: Present st.Next stateo/p I/p

Sequential Circuits38 Design of Seq. Circuit

Sequential Circuits39 Design of Seq. Circuit

Sequential Circuits40 Design of Seq. Circuit

Sequential Circuits41 Design of Seq. Circuit

Sequential Circuits42 Example 8: Design a binary modulo-5 counter using SRT- Flip Flop with input x Modulo-5 Counter: Counts up to 4. So we need three Flip- Flops for five states

Sequential Circuits43 STATE TABLE Binary Modulo-5 counter

Sequential Circuits44 Binary Modulo-5 counter

Sequential Circuits45 Binary Modulo-5 counter

Sequential Circuits46 Note: Here S’and C’ stands for the compliment value of the corresponding cells in the S and C K-maps Binary modulo-5 counter Assume T’ = So S’ and C’ comes out to be

Sequential Circuits47 Binary Modulo-5 counter

Sequential Circuits48 Assume T’ = So S’ and C’ comes out to be Binary modulo-5 counter

Sequential Circuits49 Binary modulo-5 counter

Sequential Circuits50 Assume T’ = 1 So S’ and C’ comes out to be 0 and 0 Binary modulo-5 counter

Sequential Circuits51 G = 0 Q + does not respond G = 1 Q + responds

Sequential Circuits52 T-G Flip Flop Application Equation This is the Application Equation of the T-G Flip-Flop

Sequential Circuits53 Example 9: Design T2 and G2 for a modulo-5 binary up counter Modulo-5 counter: Counts up to 4. So we need three Flip- Flops for five states

Sequential Circuits54 STATE TABLE Modulo 5 binary upcounter

Sequential Circuits55 Modulo 5 binary upcounter

Sequential Circuits56 Modulo 5 binary upcounter

Sequential Circuits57 Modulo 5 binary upcounter

Sequential Circuits58 Modulo 5 binary upcounter

Sequential Circuits59 Example 10: Design an Octal upcounter(Binary counter) using S-C Flip-Flop using Tabular Method Octal up counter: Counts up to 7. So we need three Flip- Flops for seven states

Sequential Circuits60 STATE TABLE Octal up counter

Sequential Circuits61 Octal up counter

Sequential Circuits62 Octal up counter

Sequential Circuits63 Octal up counter

Sequential Circuits64 RULES TO DERIVE EXCITATION FUNCTION T- Flip-Flop

Sequential Circuits65 S-C Flip Flop

Sequential Circuits66 J-K Flip Flop

Sequential Circuits67 T-G Flip Flop

Sequential Circuits68 S-C-T Flip Flop

Sequential Circuits69 Summary of Rules for all Flip-Flops

Sequential Circuits70 MODIFIED RULES FOR THE FLIP-FLOPS

Sequential Circuits71 questions ???

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