Title: SEQUENTIAL%20CIRCUITS
1SEQUENTIAL CIRCUITS
2Two 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
3 FLIP FLOPS AND THEIR APPLICATIONS
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9When 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 dont care
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11Example 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
12modulo-8 counter
13modulo-8 counter
14modulo-8 counter
15modulo-8 counter
16Example 2 Design a modulo-8 binary -up counter
using T- Flip Flop with input x
Modulo 8 counter Counts upto 7 . So we need
three Flip-flops for eight states
17modulo 8 counter with I/p x
18modulo 8 counter with I/p x
19modulo 8 counter with I/p x
20modulo 8 counter with I/p x
21Example 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
22Binary Decade counter
23Binary Decade counter
24Binary Decade counter
25Binary Decade counter
26Binary Decade counter
27Example 4 Design a modulo-8 counter which
counts in the way specified below, use J-K
Flip-Flop.
28TRUTH TABLE
present state
next state
29Gray code counter
Y3
30Gray code counter
Y2
31Gray code counter
Y1
32 Example 5 Design a T-Flip-Flop using S-R
Flip-Flop
Sol
33T Flip flop using S-R flipflop
34Example 6 Design a J-K Flip Flop using S-R
Flip Flop
Sol
35J-K Flip Flop using S-R Flip Flop
36Example 7 Design a sequential circuit given
below using J-K FlipFlop
37Truth Table
I/p
Present st.
Next state
o/p
38Design of Seq. Circuit
39Design of Seq. Circuit
40Design of Seq. Circuit
41Design of Seq. Circuit
42Example 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
43Binary Modulo-5 counter
STATE TABLE
44Binary Modulo-5 counter
45Binary Modulo-5 counter
46Binary modulo-5 counter
Note Here Sand C stands for the compliment
value of the corresponding cells in the
S and C K-maps
Assume T So S and C comes out to be
47Binary Modulo-5 counter
48Binary modulo-5 counter
Assume T So S and C comes out to be
49Binary modulo-5 counter
50Binary modulo-5 counter
Assume T 1 So S and C comes out to be 0 and 0
51G 0 Q does not
respond G 1 Q responds
52T-G Flip Flop Application Equation
This is the Application Equation of the T-G
Flip-Flop
53Example 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
54Modulo 5 binary upcounter
STATE TABLE
55Modulo 5 binary upcounter
56Modulo 5 binary upcounter
57Modulo 5 binary upcounter
58Modulo 5 binary upcounter
59Example 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
60Octal up counter
STATE TABLE
61Octal up counter
62Octal up counter
63Octal up counter
64RULES TO DERIVE EXCITATION FUNCTION
65 66 67 68 69Summary of Rules for all Flip-Flops
70MODIFIED RULES FOR THE FLIP-FLOPS
71questions ???