CSE231 – Digital Logic Design
Counters
2
Asynchronous Counters
(aka. Ripple Counters)
Counters
3
4-bit (up) Counter
⚫ Let each bit in the counter be represented by the
output of a flip-flop.
Count A3 A2 A1 A0
0 0 0 0 0
1 0 0 0 1
2 0 0 1 0
3 0 0 1 1
4 0 1 0 0
5 0 1 0 1
6 0 1 1 0
7 0 1 1 1
Count A3 A2 A1 A0
8 1 0 0 0
9 1 0 0 1
10 1 0 1 0
11 1 0 1 1
12 1 1 0 0
13 1 1 0 1
14 1 1 1 0
15 1 1 1 1
0 0 0 0 0
4
4-bit (up) Counter: T Flip-Flops
Asynchronous
Counter
Counter does not
use a common clock.
5
4-bit (up) Counter: D Flip-Flops
Asynchronous
Counter
Counter does not
use a common clock.
6
Synchronous Counters
Counters
7
4-bit (up) Counter
⚫ As before, let each bit in the counter be represented
by the output of a flip-flop.
Count Q3 Q2 Q1 Q0
0 0 0 0 0
1 0 0 0 1
2 0 0 1 0
3 0 0 1 1
4 0 1 0 0
5 0 1 0 1
6 0 1 1 0
7 0 1 1 1
Count Q3 Q2 Q1 Q0
8 1 0 0 0
9 1 0 0 1
10 1 0 1 0
11 1 0 1 1
12 1 1 0 0
13 1 1 0 1
14 1 1 1 0
15 1 1 1 1
0 0 0 0 0
8
4-bit (up) Counter: JK Flip-Flops
Synchronous
Counter
Counter uses
a common clock.
9
Binary Counter with Parallel Load
Synchronous Counters
10
4-bit Counter with Parallel Load
11
Synchronous Counters
Modulo-6 Counter
12
BCD (Decimal) Counter
(aka. Modulo-10 Counter)
Counters
13
BCD Counter: State Diagram
14
BCD Counter: JK Flip-Flops
Asynchronous
Counter
15
BCD Counter: D Flip-Flops
Synchronous
Counter
16
Up / Down Counter
Synchronous Counters
17
4-bit Up / Down Counter

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Digital Logic Design Lec13 Counters.pdf