Mata Kuliah Dasar Teknik Digital TKE 113 7. PENCACAH Ir. Pernantin Tarigan, M.Sc Fahmi, S.T, M.Sc Departemen teknik Elektro Universitas Sumatera Utara USU 2006

Dasar Teknik Digital TKE 113 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 0 0 0 1 0 0 0 1 1 0 0 1 0 0 0 0 1 0 0 1 1 0 1 0 0 0 0 1 1 0 0 1 0 0 1 0 0 0 1 0 1 0 1 0 0 0 0 1 1 0 1 0 1 0 1 1 0 0 1 0 1 0 1 0 0 0 1 1 0 0 1 1 1 0 1 1 0 0 1 0 1 0 1 1 1 1 0 0 0 0 1 1 1 0 1 1 0 1 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 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 Desember 2006 Ir. Pernantin, M.Sc Fahmi, S.T, M.Sc Dasar Teknik Digital TKE 113

Pencacah dengan flip-flop T AB C 00 01 11 10 1 TA= BC Pencacah Naik. 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 AB C 00 01 11 10 1 TB= C TC= 1 A T B C Desember 2006 Ir. Pernantin, M.Sc Fahmi, S.T, M.Sc Dasar Teknik Digital TKE 113

Pencacah dengan flip-flop T AB C 00 01 11 10 1 TB= BC Pencacah Turun. 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 AB C 00 01 11 10 1 TB= C TC= 1 A T B C Desember 2006 Ir. Pernantin, M.Sc Fahmi, S.T, M.Sc Dasar Teknik Digital TKE 113

Pencacah dengan flip-flop T Pencacah Naik-Turun Up/Dn= M M= 0 Down M= 1 Up TC= P A T B C TB= MPC + MPC TA= MPBC + MPBC Up/Dn= M P Desember 2006 Ir. Pernantin, M.Sc Fahmi, S.T, M.Sc Dasar Teknik Digital TKE 113

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 C 00 01 11 10 1 x TA = BC + BC = B + C TB= AC TC= B + C Desember 2006 Ir. Pernantin, M.Sc Fahmi, S.T, M.Sc Dasar Teknik Digital TKE 113

Pencacah tak beraturan: flip-flop T, Diagram Rangkaian TB= P(A + C) TA= P(B + C) P TC= P(B + C) Desember 2006 Ir. Pernantin, M.Sc Fahmi, S.T, M.Sc Dasar Teknik Digital TKE 113

Diagram waktu pencacah irreguler 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.Sc Fahmi, S.T, M.Sc Dasar Teknik Digital TKE 113

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.Sc Fahmi, S.T, M.Sc Dasar Teknik Digital TKE 113

Peta-K Pencacah dengan RS 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) 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+ Desember 2006 Ir. Pernantin, M.Sc Fahmi, S.T, M.Sc Dasar Teknik Digital TKE 113

Pencacah dengan flip-flop JK Peta Keadaan Berikut 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 Desember 2006 Ir. Pernantin, M.Sc Fahmi, S.T, M.Sc Dasar Teknik Digital TKE 113

Peta-K Pencacah dengan JK 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 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+ Desember 2006 Ir. Pernantin, M.Sc Fahmi, S.T, M.Sc Dasar Teknik Digital TKE 113

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.Sc Fahmi, S.T, M.Sc Dasar Teknik Digital TKE 113

Pencacah dalam Rangkaian Terpadu R0(1) R0(2) NC VCC NC NC NC QA QD QC QB >A R0(1) B< R0(2) 1 2 3 6 4 5 7 14 13 12 9 11 10 8 Input A B QA QD GND QC QB 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 J Q >CK K R0(1) R0(2) Desember 2006 Ir. Pernantin, M.Sc Fahmi, S.T, M.Sc Dasar Teknik Digital TKE 113