Mata Kuliah Dasar Teknik Digital TKE 113
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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 7. PENCACAH
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Mata Kuliah Dasar Teknik Digital TKE 113. 7. PENCACAH. 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. - PowerPoint PPT Presentation
Transcript of Mata Kuliah Dasar Teknik Digital TKE 113
Mata KuliahDasar Teknik Digital
TKE 113
Departemen teknik ElektroUniversitas Sumatera Utara USU
2006
Ir. Pernantin Tarigan, M.ScFahmi, S.T, M.Sc
7. PENCACAH
Desember 2006 Ir. Pernantin, M.ScFahmi, S.T, M.Sc
Dasar Teknik Digital TKE 113
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Pencacah Reguler Tabel 7.1. Tabel keadaan pencacah biner berurutan.
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 00 0 1 0 0 0 1 1 0 0 1 0 0 0 0 10 0 1 1 0 1 0 0 0 0 1 1 0 0 1 00 1 0 0 0 1 0 1 0 1 0 0 0 0 1 10 1 0 1 0 1 1 0 0 1 0 1 0 1 0 00 1 1 0 0 1 1 1 0 1 1 0 0 1 0 10 1 1 1 1 0 0 0 0 1 1 1 0 1 1 01 0 0 0 1 0 0 1 1 0 0 0 0 1 1 1 1 0 0 1 1 0 1 0 1 0 0 1 1 0 0 01 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 01 1 0 0 1 1 0 1 1 1 0 0 1 0 1 11 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 11 1 1 1 0 0 0 0 1 1 1 1 1 1 1 0
(a) (b ) Pencacah naik Pencacah turun
Desember 2006 Ir. Pernantin, M.ScFahmi, S.T, M.Sc
Dasar Teknik Digital TKE 113
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Pencacah dengan flip-flop T
A B C A+ B+ C+ TA TB TC
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
TC= 1
AB
C 00 01 11 10
0
1 1 1
TA= BC
Pencacah Naik.
AB
C 00 01 11 10
0
1 1 1 1 1
TB= C
A
T
A
B
T
B
C
T
C
Desember 2006 Ir. Pernantin, M.ScFahmi, S.T, M.Sc
Dasar Teknik Digital TKE 113
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Pencacah dengan flip-flop T
A B C A+ B+ C+ TA TB TC
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
TC= 1
Pencacah Turun. AB
C 00 01 11 10
0 1 1
1
TB= BC
AB
C 00 01 11 10
0 1 1 1 1
1
TB= C
A
T
A
B
T
B
C
T
C
Desember 2006 Ir. Pernantin, M.ScFahmi, S.T, M.Sc
Dasar Teknik Digital TKE 113
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Pencacah dengan flip-flop T
Up/Dn= M
M= 0 Down
M= 1 Up
Pencacah Naik-Turun
TC= P
A
T
A
B
T
B
C
T
C
TB= MPC + MPC TA= MPBC + MPBC
Up/Dn= M
P
Desember 2006 Ir. Pernantin, M.ScFahmi, S.T, M.Sc
Dasar Teknik Digital TKE 113
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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 - - -
Pencacah tak beraturan
00 01 11 10 00 01 11 10 00 01 11 10
0 1 x 0 1 1 x 0 1 x 1
1 x x 1 1 x x 1 x 1 x 1
TA = BC + BC = B + C
TB= AC TC= B + C
AB C
AB C
AB C
Desember 2006 Ir. Pernantin, M.ScFahmi, S.T, M.Sc
Dasar Teknik Digital TKE 113
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Pencacah tak beraturan:flip-flop T, Diagram Rangkaian
A
T
A
B
T
B
C
T
C
TB= P(A + C) TA= P(B + C)
P
TC= P(B + C)
Desember 2006 Ir. Pernantin, M.ScFahmi, S.T, M.Sc
Dasar Teknik Digital TKE 113
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Diagram waktu pencacah irreguler
P
A 0 0 0 1 1 0 B
0 1 1 0 0 0 C
0 1 0 0 1 0 TA
TB
TC
Desember 2006 Ir. Pernantin, M.ScFahmi, S.T, M.Sc
Dasar Teknik Digital TKE 113
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Pencacah dengan flip-flop RS
A B C A+B+C+ RA SA RB SB RC SC 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
Desember 2006 Ir. Pernantin, M.ScFahmi, S.T, M.Sc
Dasar Teknik Digital TKE 113
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Peta-K Pencacah dengan RS
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
SA RA SB RB SC RC
SA = BC RA= C SB = AB RB = BC SC = BC RC = C
(c)
Desember 2006 Ir. Pernantin, M.ScFahmi, S.T, M.Sc
Dasar Teknik Digital TKE 113
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Pencacah dengan flip-flop JK
A B C A+B+C+ JA KA JB KB JC KC 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
Peta Keadaan Berikut
Desember 2006 Ir. Pernantin, M.ScFahmi, S.T, M.Sc
Dasar Teknik Digital TKE 113
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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+
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
JA KA JB KB JC KC
JA = BC KA= C JB = A KB = C JC = B KC = 1
Desember 2006 Ir. Pernantin, M.ScFahmi, S.T, M.Sc
Dasar Teknik Digital TKE 113
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Peta-K Pencacah dengan ff D
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+
DA= AC + BC DB= A B + AC DC= B C
Desember 2006 Ir. Pernantin, M.ScFahmi, S.T, M.Sc
Dasar Teknik Digital TKE 113
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Pencacah dalam Rangkaian Terpadu
R0(1) R0(2) NC VCC NC NC NC
QA QD QC QB
>AR0(1) B< R0(2)
1 2 3 6 4 5 7
14 13 12 911 10 8
Input A
Input BQA QD GND QC QB
J Q
>C
K
K J Q
>C
K
K J Q
>C
K
K J Q
>C
K
K
R0(1) R0(2)
R0(1) R0(2) QD QC QB QA H H L L L L L x C o u n t x L C o u n t
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