Only typed answer..no copied answer Design the same 3-bit binary up/down synchronous counter using JK flip-flops. The counter counts up when the inputxis 0 , and counts down whenxis 1 . Use CBA for denoting present states andC∗B∗A∗for next states.
Only typed answer..no copied answer Design the same 3-bit binary up/down synchronous counter using JK flip-flops. The counter counts up when the inputxis 0 , and counts down whenxis 1 . Use CBA for denoting present states andC∗B∗A∗for next states.
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Only typed answer..no copied answer
Design the same 3-bit binary up/down synchronous counter using JK flip-flops. The counter counts up when the inputxis 0 , and counts down whenxis 1 . Use CBA for denoting present states andC∗B∗A∗for next states.
Transcribed Image Text:Step 3: Refer to the flip-flop transition table you need
Show Transcribed Text
|J₂ =
|K₂=
|J₁ =
K₁ =
Step 4: Construct Karnaugh maps from the next-state and the transition tables
XC
Jo =
XC
Ko=
OUTPUT TRANSITIONS
Q
0
0
1
1
XC
00
01
11
10
Karnaugh map for J₂ input
BA
Transition table for a JK flip-flop
00
01
11
10
Q*
0
1
0
1
Karnaugh map for J₁ input
BA
00
01
Show Transcribed Text
11
10
00 01 11 10
Karnaugh map for Jo input
BA
Step 5: Derive the Boolean expressions for each flip-flop input
00 01 11 10
00 01 11 10
XC
XC
J
0
1
X
X
XC
Karnaugh map for K₂ input
BA
00
01
11
10
FLIP-FLOP INPUTS
00
01
11
10
Karnaugh map for K₁ input
BA
00
01
11
10
00 01 11 10
K
X
X
1
0
Karnaugh map for Ko input
BA
00 01 11 10
00 01 11 10
Step 6: Implement the expressions with logic gates and combine with the flip-flops
Go to LogicWorks5 and draw a circuit following the Boolean expressions in Step 5. Show the performance
of the circuit.
Transcribed Image Text:Step 1: Draw a state diagram
State diagram for a 3-bit binary up/down counter
Step 2: Derive a next-state table
Next-state table for a 3-bit binary up/down counter
NEXT STATE
C'B'A
PRESENT STATE
CBA
X=0
x = 1
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