Design a mod-5 synchronous counter using J-Kflip-flops, Computer Engineering

What are synchronous counters? Design a Mod-5 synchronous counter using J-K Flip-Flops.

Ans.

Synchronous Counters: It means that all flip-flops are clocked concurrently. The clock pulses drive the clock input of each flip-flop together hence there is no propagation delay.

Mod-5 Counter Synchronous Counter: This have five counter states. The counter design table for such counter shows the three flip-flop and their states also (0 to 5 states), as in table (a), the 6 inputs needed for the three flip-flops. The flip-flop inputs needed to step up the counter from the current to the next state have been worked out along with the assist of the excitation table illustrated in the table.

 

Input

 

pulse

 

 

Count

Counter States

 

 

A          B          C

Flip-Flop Inputs

 

JA                  KA

 

JB                KB                                        JC                  KC

0

0           0          0

1             X

0             X                            0              X

1

1           0          0

X             1

1             X                            0              X

2

0           1          0

1             X

X            0                           0              X

3

1           1          0

X             1

X            1                           1              X

4

0           0          1

0             X

0             X                           X             1

5(0)

0           0          0

 

 

                                                             Table (a) counter Design Table for Mod-5 Counter

A flip-flop:  The first state is 0. This change to 1 after the clock pulses. Thus JA must be 1 and KA may be 0 or 1 (i.e. X ).

B flip-flop: The first state is 0 and this keeps unchanged after the clock pulse. Thus JB must be 0 and KB may be 0 or 1 (i.e. X)

C flip-flop: The state keeps unchanged. Thus Jc must be 0 and KC must be X. The flip-flop input values are entered in Karnaugh maps demonstrated in Table (b) [(i) (ii) (iii) (iv) (v) and (vi)] and a boolean expression is determined for the inputs to the 3-flip-flops and after that each expression is simplified. All the counter states have not been utilized; X's (don't) are entered to indicate un-utilized states. For each input the simplified expressions demonstrated under each map. At last, these minimal expressions for the flip-flop inputs are utilized to illustrate a logic diagram for the counter that is demonstrated in fig. (b).

664_Karnaugh Maps for MOD-5 Synchronous Counter.png

Table (b) Karnaugh Maps for MOD-5 Synchronous Counter

766_Logic Diagram of MOD-5 Synchronous Counter.png


Fig. (b) Logic Diagram of MOD-5 Synchronous Counter

Posted Date: 5/2/2013 8:45:33 AM | Location : United States







Related Discussions:- Design a mod-5 synchronous counter using J-Kflip-flops, Assignment Help, Ask Question on Design a mod-5 synchronous counter using J-Kflip-flops, Get Answer, Expert's Help, Design a mod-5 synchronous counter using J-Kflip-flops Discussions

Write discussion on Design a mod-5 synchronous counter using J-Kflip-flops
Your posts are moderated
Related Questions
Which Command permits for vertical alignment of fields one below the other. UNDER Command is used ofr vertical alignment.

Q. Show the spawned program? include "pvm3.h"  main() {    int ptid, msgtag;    char buf[100];    ptid = pvm_parent();    strcpy(buf, "hello, world from ");

Write a recursive algorithm to delete the leaves of a binary tree. Programming Requirements You must use the binary search tree code provided.  Each algorithm must be impleme


Explain about unix file system architecture

What is User Defined Functions? User-Defined Functions permit defining its own T-SQL functions that can accept 0 or more parameters and return a single scalar data value or a t

Q. Show the foundation of ALU design? The foundation of ALU design starts with micro-operation implementation. Thus let's first explain how bus can be used for Data transfer m

DOM is the Document Object Model (DOM) which is an interface specification handled by the W3C DOM Workgroup that explains an application independent mechanism to access, parse, or

Task 1:   Methodologies are 'regarded as a recommended series of steps and procedures to be followed in the course of developing an information system' and were introduced to im

Make a console application with a class 'Account' having variables as id(int) and name (String).Add property 'account-no' which can be set andget. Add a 'ReadOnly' property 'IntRat