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