Mata Kuliah Dasar Teknik Digital TKE 113
Mata Kuliah
Dasar Teknik Digital
TKE 113
Departemen teknik Elektro Universitas Sumatera Utara USU 2006 Ir. Pernantin Tarigan, M.Sc
Fahmi, S.T, M.Sc
Pencacah Reguler Tabel 7.1. Tabel keadaan pencacah biner berurutan
Fahmi, S.T, M.Sc
A B C D A+ B+ C+ D+ A B C D A+ B+ C+ D+ 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 1 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0
0 0 1 0 0 0 1 1 0 0 1 0 0 0 1 0 0 1 1 0 1 0 0 0 0 1 1 0 1 0 0 1 0 0 0 1 0 1 0 1 0 0 0 1 1 0 1 0 1 0 1 1 0 0 1 0 1 1 0 0 0 1 1 0 0 1 1 1 0 1 1 0 1 0 1 0 1 1 1 1 0 0 0 0 1 1 1 1 1 0 1 0 0 0 1 0 0 1 1 0 0 0 1 1 1 1 0 0 1 1 0 1 0 1 0 0 1
1 0 0 0 1 0 1 0 1 0 1 1 1 0 1 0 1 0 0 1 1 0 1 1 1 1 0 0 1 0 1 1 1 0 1 0 1 1 0 0 1 1 0 1 1 1 0 0 1 0 1 1 1 1 0 1 1 1 1 0 1 1 0 1 1 1 0 0 1 1 1 0 1 1 1 1 1 1 1 0 1 1 0 1 1 1 1 1 0 0 0 0 1 1 1 1 1 1 1 0 (a) (b )
Pencacah naik Pencacah turun
Pencacah dengan flip-flop T A B C A
01
10
11
AB C
00
- + B +
T C = 1
10
A T A B T B C T C
1 T B = C
1
1
1
1
11
C
- + T A T B T C 0 0 0 0 0 1 0 0 1 0 0 1 0 1 0 0 1 1 0 1 0 0 1 1 0 0 1 0 1 1 1 0 0 1 1 1 1 0 0 1 0 1 0 0 1 1 0 1 1 1 0 0 1 1 1 1 0 1 1 1 0 0 1 1 1 1 0 0 0 1 1 1
01
00
Fahmi, S.T, M.Sc
1 T A = BC Pencacah Naik.
1
1
AB C
- + B +
C
- + T A T B T C 0 0 0 1 1 1 1 1 1 0 0 1 0 0 0 0 0 1 0 1 0 0 0 1 0 1 1 0 1 1 0 1 0 0 0 1 1 0 0 0 1 1 1 1 1 1 0 1 1 0 0 0 0 1 1 1 0 1 0 1 0 1 1 1 1 1 1 1 0 0 0 1
AB C
00
01
11
10
1
1
1 T B = BC AB C
T C = 1 Pencacah Turun
00
11
10
1
1
1
1
1 T B = C
A T A B T B C T C
01
Fahmi, S.T, M.Sc Pencacah dengan flip-flop T A B C A
Pencacah Naik-Turun
Up/Dn= M M= 0 Down M= 1 Up
T C = P
A T A B
T
B C T CT B = MPC + MPC T A = MPBC + MPBC
Up/Dn= M P
Fahmi, S.T, M.Sc Pencacah dengan flip-flop T
Pencacah tak beraturan
A B C A B C BC BC BC 0 0 0 0 1 1 A 0 1 A 0 1 A 0 1 0 0 1 - - - 00 1 00 1 00 1 1 0 1 0 1 0 0 01 x 01 x 01 x 0 1 1 0 1 0 11 x 11 1 x 11 x 1 0 0 1 0 1 10 1 x 10 x
10 x
1 0 1 0 0 0 A B C 1 1 0 - - - 1 1 1 - - -
AB AB AB
00
01
11
10
00
01
11
10
00
01
11
10 C C C
1
1
1 x 1 1 x x
1
1 x
1
1 x x 1 x x 1 x
T = BC + BC T = AC T = B + C A B C = B + C Fahmi, S.T, M.Sc
Pencacah tak beraturan: flip-flop T, Diagram Rangkaian
Fahmi, S.T, M.Sc
A T A B
T
B C T CT B = P(A + C) T A = P(B + C)
P T C = P(B + C)
Diagram waktu pencacah irreguler
P A
1
1 B
1
1
1 T A T B T C
Fahmi, S.T, M.Sc
Pencacah dengan flip-flop RS
- A A B B C C
+ + +
A B C A B C R S R S R S Q Q R S
0 0 0 0 1 1 x 0 0 1 0 1 0 0 x 0 0 0 1 - - - x x x x x x 0 1 0 1 0 1 0 1 0 0 0 1 1 0 0 x 1 0 1 0 0 1 1 0 1 0 x 0 0 x 1 0 1 1 0 x 1 0 0 1 0 1 0 x 0 x 0 1 1 0 1 0 0 0 1 0 x 0 1 0 1 1 0 - - - x x x x x x 1 1 1 - - - x x x x x x
Fahmi, S.T, M.Sc AB AB AB C 00 01 11 10 C 00 01 11 10 C 00 01 11 10 0 0 1 x 1 0 1 0 x 0 0 1 0 x 1 1 x 0 x 0 1 x 1 x 0 1 x 0 x 0
A + B + C +
A A A BC 0 1 0 1 BC 0 1 0 1 BC 0 1 0 1 00 x x 00 1 x 00 1
1 01 x x 1 01 x x x 01 x x 1 11 x x x 11 x x x 11 x 1 x 10 1 x x
10 x 1 x
10 x x x S A R A S B R B S C R C S A
= BC R A = C S B = AB R B = BC S C = BC R C = C (c)
Fahmi, S.T, M.Sc Peta-K Pencacah dengan RS
Pencacah dengan flip-flop JK
Peta Keadaan Berikut
- A A B B C C
A B C A B C J K J K J K Q Q J K
0 0 0 0 1 1 0 x 1 x 1 x 0 0 0 x 0 0 1 - - - x x x x x x 0 1 1 x 0 1 0 1 0 0 1 x x 1 0 x 1 0 x 1 0 1 1 0 1 0 0 x x 0 x 1 1 1 x 0 1 0 0 1 0 1 x 0 0 x 1 x 1 0 1 0 0 0 x 1 0 x x 1 1 1 0 - - - x x x x x x 1 1 1 - - - x x x x x x
Fahmi, S.T, M.Sc AB AB AB C 00 01 11 10 C 00 01 11 10 C 00 01 11 10 0 0 1 x 1 0 1 0 x 0 0 1 0 x 1 1 x 0 x 0 1 x 1 x 0 1 x 0 x 0
A + B + C +
A A A BC 0 1 0 1 BC 0 1 0 1 BC 0 1 0 1 00 x x 00 1 x x 00 1 1 x x 01 x x x 1 01 x x x 01 x x x 1 11 x x x 11 x x x 11 x x 1 x 10 1 x x x 10 x x 1 x
10 x x x J A K A J B K B J C K C J A
= BC K A = C J B = A K B = C J C = B K C = 1
Fahmi, S.T, M.Sc Peta-K Pencacah dengan JK
AB AB AB C 00 01 11 10 C 00 01 11 10 C 00 01 11 10 0 0 1 x 1 0 1 0 x 0 0 1 0 x 1 1 x 0 x 0 1 x 1 x 0 1 x 0 x 0
A + B + C +
D A = AC + BC D B
= A B + AC
D C = B CFahmi, S.T, M.Sc Peta-K Pencacah dengan ff D
Pencacah dalam Rangkaian Terpadu
Input Input Q Q GND Q Q A D C B A
B
14
13
12
11
10
9
8 R0(1) R0(2) QD QC QB Q Q Q Q A D C B QA
>A H H L L
R B< 0(1) L L R 0(2) R0(1) R0(2) L x C o u n t x L C o u n t
1
2
3
5
6
7 R0(1) R0(2) NC VCC NC NC NC
4 > > > > K K K K C C C C J
J J K J K K K Q Q Q Q
Fahmi, S.T, M.Sc