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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.
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Mata KuliahDasar Teknik DigitalTKE 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. 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 Ir. Pernantin, M.Sc Fahmi, S.T, M.Sc Dasar Teknik Digital TKE 113
C T C B T B A T A Pencacah dengan flip-flop T 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 TC= 1 Ir. Pernantin, M.Sc Fahmi, S.T, M.Sc Dasar Teknik Digital TKE 113
C T C B T B A T A Pencacah dengan flip-flop T 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 TC= 1 Ir. Pernantin, M.Sc Fahmi, S.T, M.Sc Dasar Teknik Digital TKE 113
C T C B T B A T A P TA= MPBC + MPBC TC= P Up/Dn= M TB= MPC + MPC Pencacah dengan flip-flop T Pencacah Naik-Turun Up/Dn= M M= 0 Down M= 1 Up Ir. Pernantin, M.Sc Fahmi, S.T, M.Sc Dasar Teknik Digital TKE 113
AB C AB C AB C 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 - - - Ir. Pernantin, M.Sc Fahmi, S.T, M.Sc Dasar Teknik Digital TKE 113
B T B A T A C T C P TB= P(A + C) TA= P(B + C) TC= P(B + C) Pencacah tak beraturan:flip-flop T, Diagram Rangkaian Ir. Pernantin, M.Sc Fahmi, S.T, M.Sc Dasar Teknik Digital TKE 113
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 Ir. Pernantin, M.Sc Fahmi, S.T, M.Sc Dasar Teknik Digital TKE 113
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 Pencacah dengan flip-flop RS Ir. Pernantin, M.Sc Fahmi, S.T, M.Sc Dasar Teknik Digital TKE 113
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) 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+ Ir. Pernantin, M.Sc Fahmi, S.T, M.Sc Dasar Teknik Digital TKE 113
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 Pencacah dengan flip-flop JK Peta Keadaan Berikut 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+ Ir. Pernantin, M.Sc Fahmi, S.T, M.Sc Dasar Teknik Digital TKE 113
DA= AC + BC DB= A B + AC DC= B C 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+ Ir. Pernantin, M.Sc Fahmi, S.T, M.Sc Dasar Teknik Digital TKE 113
J Q >CK K J Q >CK K 12 8 14 13 10 9 11 Input A Input B QA QD GND QC QB QA QD QC QB >A R0(1) B< R0(2) J Q >CK K 7 3 1 2 5 6 4 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 R0(1) R0(2) NC VCC NC NC NC J Q >CK K Pencacah dalam Rangkaian Terpadu Ir. Pernantin, M.Sc Fahmi, S.T, M.Sc Dasar Teknik Digital TKE 113