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ES 244: Digital Logic Design Chapter 6
Chapter 6: Counters and Registers
Uchechukwu Ofoegbu
Temple University
ES 244: Digital Logic Design Chapter 6
Design of Synchronous CountersDesign of Synchronous Counters• Synchronous counters go through a fixed sequence of states on successive
clocks• Most counters usually have no data inputs, just clock inputs• Counter outputs are usually the next-state (i.e. is the flip flop values• Example: 4-bit binary counter (four flip flops with a 0-15 cycle)
ES 244: Digital Logic Design Chapter 6
Design of Synchronous CountersDesign of Synchronous Counters• In groups of two, design the counter using:
– D flip flops– JK flip flops
JA = KA = 1
JB = KB = A
JC = KC = BA
JD = KD = CBA
DA = A
DB = B’A + BA’
DC = CB’+CA’+C’BA
DD = DC’ + DB’ + DA’ + D’CBA
ES 244: Digital Logic Design Chapter 6
Group ProblemGroup Problem
JK:JK:
A- 0 XA- 0 X
B- 1 XB- 1 X
C- X 1C- X 1
D- X 0D- X 0
E- X XE- X X
ES 244: Digital Logic Design Chapter 6
RegistersRegisters• Collection of flip-flops, which function is to hold information within
a system• A finite number of flips-flops => finite number of values stored in a
register – content of register• Shift register: moves the data one place to the right on each clock
input
ES 244: Digital Logic Design Chapter 6
Copyright © 2008 The McGraw-Hill Companies, Inc. Permission required for reproduction or display.
ES 244: Digital Logic Design Chapter 6
ES 244: Digital Logic Design Chapter 6
Copyright © 2008 The McGraw-Hill Companies, Inc. Permission required for Copyright © 2008 The McGraw-Hill Companies, Inc. Permission required for reproduction or display.reproduction or display.
ES 244: Digital Logic Design Chapter 6
Copyright © 2008 The McGraw-Hill Companies, Inc. Permission required for Copyright © 2008 The McGraw-Hill Companies, Inc. Permission required for reproduction or display.reproduction or display.
ES 244: Digital Logic Design Chapter 6
Copyright © 2008 The McGraw-Hill Companies, Inc. Permission required for Copyright © 2008 The McGraw-Hill Companies, Inc. Permission required for reproduction or display.reproduction or display.
ES 244: Digital Logic Design Chapter 6
Copyright © 2008 The McGraw-Hill Companies, Inc. Permission required for Copyright © 2008 The McGraw-Hill Companies, Inc. Permission required for reproduction or display.reproduction or display.
ES 244: Digital Logic Design Chapter 6
Copyright © 2008 The McGraw-Hill Companies, Inc. Permission required for Copyright © 2008 The McGraw-Hill Companies, Inc. Permission required for reproduction or display.reproduction or display.
ES 244: Digital Logic Design Chapter 6
Copyright © 2008 The McGraw-Hill Companies, Inc. Permission required for Copyright © 2008 The McGraw-Hill Companies, Inc. Permission required for reproduction or display.reproduction or display.
ES 244: Digital Logic Design Chapter 6
Copyright © 2008 The McGraw-Hill Companies, Inc. Permission required for Copyright © 2008 The McGraw-Hill Companies, Inc. Permission required for reproduction or display.reproduction or display.
ES 244: Digital Logic Design Chapter 6
Copyright © 2008 The McGraw-Hill Companies, Inc. Permission required for Copyright © 2008 The McGraw-Hill Companies, Inc. Permission required for reproduction or display.reproduction or display.
ES 244: Digital Logic Design Chapter 6
Copyright © 2008 The McGraw-Hill Companies, Inc. Permission required for Copyright © 2008 The McGraw-Hill Companies, Inc. Permission required for reproduction or display.reproduction or display.
ES 244: Digital Logic Design Chapter 6
Copyright © 2008 The McGraw-Hill Companies, Inc. Permission required for Copyright © 2008 The McGraw-Hill Companies, Inc. Permission required for reproduction or display.reproduction or display.
ES 244: Digital Logic Design Chapter 6
Copyright © 2008 The McGraw-Hill Companies, Inc. Permission required for Copyright © 2008 The McGraw-Hill Companies, Inc. Permission required for reproduction or display.reproduction or display.
ES 244: Digital Logic Design Chapter 6
Copyright © 2008 The McGraw-Hill Companies, Inc. Permission required for Copyright © 2008 The McGraw-Hill Companies, Inc. Permission required for reproduction or display.reproduction or display.
ES 244: Digital Logic Design Chapter 6
HomeworkHomework4,6,7,27,28
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