SAYICILAR (COUNTERS)
description
Transcript of SAYICILAR (COUNTERS)
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SAYICILAR (COUNTERS)
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Senkron (Synchronous):
Saat sinyali ayni anda tüm f/f’lara bağlıdır
Asenkron(Asynchronous):
Saat sinyali sadece birinci f/f’a bağlı diğerleri bir öncekinden saat sinyali alır.
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1 – BİT SENKRON SAYICI:
Her bit için 1 f/f2 bit 00
0-3 sayar 10
11
Sayıcılarda J-K f/f kullanılacaksa f/f’lar Toggle durumunda olacaktır.Senkron saatler ayni anda bağlanacak.
1
Q2Q1
K2K1
J2J1CLK
Q2
Q1
CLK
3 2 0 3 2 ...1
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EĞER CLK GİRİŞLERİ AKTİF LOW İSE, 1
Q2Q1
K2K1
J2J1
CLK
Q2
Q1
CLK
3 2 0 3 ...1
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2 – BİT ASEKRON SAYICI:
1
Q2Q1
K2K1
J2J1
CLK
Q1 Q2
Q1
CLK
320 ...1
Q1
Q2
0 1 2
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3 – BİT SENKRON BİNARİ SAYICI:
1
Q2Q1
K2K1
J2J1
CLK
C
Ko
Jo Qo
C C
CLK
3 2
Q1
Q2
Qo
toggle holdJ2-K2
457 16
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3 – BİT ASENKRON BİNARİ SAYICI:
Q1 Q2Qo
1
Jo
Ko
C C CCLK
J1
K1
J2
K2
Q1
Q2
Qo
CLK
Q1
Qo
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ÖRNEK: ASENKRON SAYICININ ÇIKIŞLARINI
BULUNUZ.
K2
J2
K1
J1 Q2Q1
CLK
Çözüm:
Q2
Q1
CLK
f/f 2'nin saat sinyali
Bu sayıcının adı “2 – bit asekron down counter” dir.
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ÖRNEK: ASENKRON SAYICININ ÇIKIŞLARINI
BULUNUZ.
f/f2f/f1
K2
J2
K1
J1 Q2Q1
CLK
Çözüm:
Q2
Q1
CLK
Q1
Bu sayıcının adı “2 – bit asekron up counter” dir.
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ÖRNEK: ÇIKIŞ SİNYALLERİNİ ÇİZİNİZ.
K2
J2
K1
J1 Q2Q1
1
CLK
1
Çözüm:
Q2
Q1
CLK
2 – bit asenkron up counter.
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ÖRNEK:ÇIKIŞ SİNYALLERİNİ ÇİZİNİZ.
1
CLK
1
Q1 Q2J1
K1
J2
K2
J3
K3
Q3
1
f/f1 f/f2 f/f3
Çözüm:
CLK
Q1
Q2
Q3
f/f2'ye clock
f/f3'e clock
3 – bitlik down counter.
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ÖRNEK:
CLK
Q2 Q3
f/f1
1
K3
J3
K2
J2
K1
J1
1 1
Q1
Q1 Q2
f/f3f/f2
Çözüm:
CLK
Q2
Q3
f/f2'ye clock
f/f3'e clock
Q1
Q1
Q2
3 – bit asenkron binari up counter.
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ÖRNEK:ÇIKIŞ SİNYALİNİ ÇİZİNİZ.
1
CLK
1
J1
K1
J2
K2
J3
K3
1
Q3Q2Q1
Çözüm:
Q2
Q1
CLK
Q3
3 – bit asenkron binari up counter.
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4 – BİTLİK ASENKRON:
Q3Q1 Q2
1
K3
J3
K2
J2
K1
J1
1
CLK
1
Q4J4
K4
1
Q3
Q1
Q2
Q4
CLK
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SENKRON COUNTERS:
Q1
Q2
CLK
J1
K1
J2
K2
Q1
Q2
CLK
toggle hold
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3 – BİT SENKRON SAYICILAR:
Q1
CLK
J1
K1
J2
K2
Q2 Q3J3
K3
f/f1
1
f/f2 f/f3
Q1
CLK
Q3
holdtoggle
Q2
J2&K2
J3&K3Q1&Q2
3 – bit senkron aşağı sayıcı.
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4 – BİT SENKRON SAYICI:
K4
J4
CLK
1
J1
K1
J2
K2
J3
K3
Q1 Q2 Q3 Q4
ff1 ff2 ff3 ff4
CLK
Q1
Q2
Q3
Q4
Q1ANDQ2
Q1,Q2ANDQ3
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