7. PENCACAH

1

PENCACAH REGULERTabel 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

2

PENCACAH DENGAN FLIP-FLOP T

3

A B C A+ B+ C+ TA TB TC0 0 0 0 0 1 0 0 10 0 1 0 1 0 0 1 10 1 0 0 1 1 0 0 10 1 1 1 0 0 1 1 11 0 0 1 0 1 0 0 11 0 1 1 1 0 0 1 11 1 0 1 1 1 0 0 11 1 1 0 0 0 1 1 1

TC= 1

ABC 00 01 11 10

0

1 1 1

TA= BC

Pencacah Naik.

ABC 00 01 11 10

01 1 1 1 1

TB= C

A

T

A

B

T

B

C

T

C

PENCACAH DENGAN FLIP-FLOP TAB

C 00 01 11 100 1 11

TB= BC

4

A B C A+ B+ C+ TA TB TC0 0 0 1 1 1 1 1 10 0 1 0 0 0 0 0 10 1 0 0 0 1 0 1 10 1 1 0 1 0 0 0 11 0 0 0 1 1 1 1 11 0 1 1 0 0 0 0 11 1 0 1 0 1 0 1 11 1 1 1 1 0 0 0 1

TC= 1

Pencacah Turun.

ABC 00 01 11 10

0 1 1 1 11

TB= C

A

T

A

B

T

B

C

T

C

PENCACAH DENGAN FLIP-FLOP T

Up/Dn= M

M= 0 Down

M= 1 Up

5

Pencacah Naik-Turun

TC= P

A

T

A

B

T

B

C

T

C

TB= MPC + MPC TA= MPBC + MPBC

Up/Dn= M

P

PENCACAH TAK BERATURANA 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 - - -

6

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

ABC

ABC

ABC

PENCACAH TAK BERATURAN:FLIP-FLOP T, DIAGRAM RANGKAIAN

7

A

T

A

B

T

B

C

T

C

TB= P(A + C) TA= P(B + C)

P

TC= P(B + C)

DIAGRAM WAKTU PENCACAH IRREGULER8

P

A0 0 0 1 1 0

B0 1 1 0 0 0 C

0 1 0 0 1 0 TA

TB

TC

PENCACAH DENGAN FLIP-FLOP RS9

A B C A+B+C+ RA SA RB SB RC SC Q Q+ R S0 0 0 0 1 1 x 0 0 1 0 1 0 0 x 00 0 1 - - - x x x x x x 0 1 0 10 1 0 1 0 0 0 1 1 0 0 x 1 0 1 00 1 1 0 1 0 x 0 0 x 1 0 1 1 0 x1 0 0 1 0 1 0 x 0 x 0 1 1 0 1 0 0 0 1 0 x 0 1 01 1 0 - - - x x x x x x1 1 1 - - - x x x x x x

PETA-K PENCACAH DENGAN RS10

AB AB ABC 00 01 11 10 C 00 01 11 10 C 00 01 11 100 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 0 100 x x 00 1 x 00 1 101 x x 1 01 x x x 01 x x 111 x x x 11 x x x 11 x 1 x10 1 x x 10 x 1 x 10 x x x

SA RA SB RB SC RCSA = BC RA= C SB = AB RB = BC SC = BC RC = C

(c)

PENCACAH DENGAN FLIP-FLOP JK11

A B C A+B+C+ JA KA JB KB JC KC Q Q+ J K0 0 0 0 1 1 0 x 1 x 1 x 0 0 0 x0 0 1 - - - x x x x x x 0 1 1 x0 1 0 1 0 0 1 x x 1 0 x 1 0 x 10 1 1 0 1 0 0 x x 0 x 1 1 1 x 01 0 0 1 0 1 x 0 0 x 1 x 1 0 1 0 0 0 x 1 0 x x 11 1 0 - - - x x x x x x1 1 1 - - - x x x x x x

Peta Keadaan Berikut

PETA-K PENCACAH DENGAN JK12

AB AB ABC 00 01 11 10 C 00 01 11 10 C 00 01 11 100 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 0 100 x x 00 1 x x 00 1 1 x x01 x x x 1 01 x x x 01 x x x 111 x x x 11 x x x 11 x x 1 x10 1 x x x 10 x x 1 x 10 x x x

JA KA JB KB JC KCJA = BC KA= C JB = A KB = C JC = B KC = 1

PETA-K PENCACAH DENGAN FF D

13

AB AB ABC 00 01 11 10 C 00 01 11 10 C 00 01 11 100 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

PENCACAH DALAM RANGKAIAN TERPADU14

R0(1) R0(2) NC VCC NC NC NC

QA QD QC QB>AR0(1) B< R0(2)

1 2 3 64 5 7

14 13 12 911 10 8

InputA

InputBQA QD GND QC QB

J Q

>CK

KJ Q

>CK

KJ Q

>CK

KJ Q

>CK

K

R0(1) R0(2)

R0(1) R0(2) QD QC QB QAH H L L L

LL x C o u n tx L C o u n t