TASK 5.1.1
We will individually design UP Counter without overflow and DOWN Counter without underflow.
Later we will logically AND with mode control UP/DOWN switch. If UP/DOWN = 0 then UP Count, UP/DOWN = 1 then DOWN Count.
TRUTH TABLES :
UP COUNTER WITHOUT OVERFLOW USING D FLIP FLOP
PRESENT STATE |
NEXT STATE |
||||||
Q3 |
Q2 |
Q1 |
Q0 |
Q3+ |
Q2+ |
Q1+ |
Q0+ |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
1 |
0 |
0 |
1 |
1 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
1 |
0 |
1 |
0 |
1 |
0 |
1 |
1 |
0 |
0 |
1 |
1 |
0 |
0 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
1 |
1 |
0 |
0 |
1 |
1 |
0 |
1 |
0 |
1 |
0 |
1 |
0 |
1 |
0 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
0 |
1 |
1 |
0 |
0 |
1 |
1 |
0 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
DOWN COUNTER WITHOUT UNDERFLOW USING D FLIP FLOP
PRESENT STATE |
NEXT STATE |
||||||
Q3 |
Q2 |
Q1 |
Q0 |
Q3+ |
Q2+ |
Q1+ |
Q0+ |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
1 |
1 |
0 |
0 |
1 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
1 |
1 |
0 |
1 |
0 |
1 |
0 |
1 |
0 |
0 |
0 |
1 |
1 |
0 |
0 |
1 |
0 |
1 |
0 |
1 |
1 |
1 |
0 |
1 |
1 |
0 |
1 |
0 |
0 |
0 |
0 |
1 |
1 |
1 |
1 |
0 |
0 |
1 |
1 |
0 |
0 |
0 |
1 |
0 |
1 |
0 |
1 |
0 |
0 |
1 |
1 |
0 |
1 |
1 |
1 |
0 |
1 |
0 |
1 |
1 |
0 |
0 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
0 |
0 |
1 |
1 |
1 |
0 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
Karnaugh Map:
CIRCUIT DIAGRAM
ercise 5 Part One: Sequential Logic ask 5.1,1: Design a 4-bit up/down counter that does not...
1) Design a synchronous 3-bit binary UP/DOWN counter uses the following counting pattern 10.2.3.7.6.40.1.3...) the counter will count in this pattern indefinitely when the input X is equal to 1. When the input the counter will reverse direction and count in the opposite pattern 0. 4 7310) Complete the state diagram, transition table, New state s and solve for the recitation equations for flipflops that will perform this function. (You do not need to draw the flip-flops Use the state...
Up-Down counter with enable using JK flip-flops: Design, construct and test a 2-bit counter that counts up or down. An enable input E determines whether the counter is on or off. If E = 0, the counter is disabled and remains in the present count even though clock pulses are applied to the flip-flops. If E= 1, the counter in enabled and a second input, x, determines the count direction. If x= 1, the circuit counts up with the sequence...
Its logic design
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27 60 Experiment 4 Six-State Up-Down Counter 1 Objective To become familiar with the design procedures of a counter, which are applicable to the design of other synchronous sequential circuits. 2 Problem description A six-state up-down counter is to be designed. Three flip-flops with outputs Q2,Qi and Qo are required in the design. As shown in Figure 1, the counter is initialized...
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306 □ CHAPTER 4/SEQUENTIAL CIRCUITS OTABLE 4-16 State Table for Problem 4-33 Next State Input Output Present State 4-36 4-37 0 0 0 0 4-38 Design the circuit specified by Table 4-14 and use the sequence from Problen 4-31 (either yours or the one posted on the text website) to perform an automatic logic simulation-based verification of your design. 4 433. The state table for a sequential circuit...
Design (and then verify your design by simulating it) a two-bit
counter that counts up or down. Use an enable input E to determine
whether the counter is on or off: if E = 0 the counter is disabled
and remains at its present count even if clock pulses are applied.
If E = 1, the counter is enabled and a second input, x, determines
the direction of the count: if x = 1 the circuit counts upward 00,
01,...
Design a 3-bit down counter FSM with no inputs and three outputs. Do this using a T flip flop. a. Draw a state diagram and the corresponding state table. b. Derive the equations for output functions and flip-flop input functions c. Draw the logic circuit diagram
b) A sequential circuit is constructed with one T flip-flop A, one D flip-flop B and one input X, when X=0, the state of the circuit remains the same.When X=1, the circuit goes through the transitions from 00 to 01 to 11 to 10 back to 00, repeat. (i) Draw the state transition diagram (ii) Construct the state Table (iii) Draw the circuit.
The task is to design a two-bit controlled counter which has two
counting bits (Q2, Q1), has one control input C1, and also two
extra outputs, one indicating overflow, the other underflow.
When C1=0 the counter counts up by 2s; i.e. 0 becomes 2, 1
becomes 3. In this mode the values 2 and 3 go to the overflow
state. When the control input C1=1, the counter counts down by 2s,
i.e. 3 becomes 1, and 2 becomes 0, and...
It is a question about Computer organization
Design a sequential up/down counter. The counter should count as follows: When x -0, the counter will count 0, 1, 2, 3, 4, 5, 6, 7, 0,... When x 1, the counter will count 7, 6, 5, 4, 3, 2, 1, 0,7, .. 6.1. Draw the state diagram. 6.2. Draw the state table. 6. 6.3. Draw the excitation table using JK flip-flop. 6.4. Minimize. 6.5. Draw the logic diagram of your answer.
Design a three-bit counter using D flip-flops that has the following characteristics: When the value of an input x is 0, the counter counts "down" in standard order. When the value of x is 1, the counter counts "up" in standard order a. First, complete the state table shown below Present State Next State Excitation 0 0 0 0 0 0 1 0 0 0 0 0 0 b. Next, derive the logic equations using the Karnaugh maps shown below...