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Sequential Circuits1 SEQUENTIAL CIRCUITS

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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

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Sequential Circuits3 FLIP FLOPS AND THEIR APPLICATIONS 1.

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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

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Sequential Circuits10

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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

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Sequential Circuits12 modulo-8 counter

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Sequential Circuits13 modulo-8 counter

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Sequential Circuits14 modulo-8 counter

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Sequential Circuits15 modulo-8 counter

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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

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Sequential Circuits17 modulo 8 counter with I/p x

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Sequential Circuits18 modulo 8 counter with I/p x

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Sequential Circuits19 modulo 8 counter with I/p x

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Sequential Circuits20 modulo 8 counter with I/p x

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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

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Sequential Circuits22 Binary Decade counter

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Sequential Circuits23 Binary Decade counter

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Sequential Circuits24 Binary Decade counter

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Sequential Circuits25 Binary Decade counter

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Sequential Circuits26 Binary Decade counter

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

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Sequential Circuits28 TRUTH TABLE: present statenext state

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Sequential Circuits29 Gray code counter Y3Y3

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Sequential Circuits30 Y2Y2 Gray code counter:

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Sequential Circuits31 Y1Y1 Gray code counter:

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

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Sequential Circuits33 T Flip flop using S-R flipflop

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

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

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

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

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Sequential Circuits38 Design of Seq. Circuit

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Sequential Circuits39 Design of Seq. Circuit

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Sequential Circuits40 Design of Seq. Circuit

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Sequential Circuits41 Design of Seq. Circuit

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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

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Sequential Circuits43 STATE TABLE Binary Modulo-5 counter

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Sequential Circuits44 Binary Modulo-5 counter

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Sequential Circuits45 Binary Modulo-5 counter

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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

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Sequential Circuits47 Binary Modulo-5 counter

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

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Sequential Circuits49 Binary modulo-5 counter

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

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

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

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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

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Sequential Circuits54 STATE TABLE Modulo 5 binary upcounter

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Sequential Circuits55 Modulo 5 binary upcounter

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Sequential Circuits56 Modulo 5 binary upcounter

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Sequential Circuits57 Modulo 5 binary upcounter

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Sequential Circuits58 Modulo 5 binary upcounter

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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

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Sequential Circuits60 STATE TABLE Octal up counter

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Sequential Circuits61 Octal up counter

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Sequential Circuits62 Octal up counter

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Sequential Circuits63 Octal up counter

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

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Sequential Circuits65 S-C Flip Flop

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Sequential Circuits66 J-K Flip Flop

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Sequential Circuits67 T-G Flip Flop

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Sequential Circuits68 S-C-T Flip Flop

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Sequential Circuits69 Summary of Rules for all Flip-Flops

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Sequential Circuits70 MODIFIED RULES FOR THE FLIP-FLOPS

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Sequential Circuits71 questions ???

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