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 C

  T 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 C

  T 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 C

Fahmi, 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