Математik маnтiq аsoslari ikki o‘zgaruvchili Bul funksiyalari quyidagicha rostlik jadvali bilan beriladi


To‘rt o‘zgaruvchili Karno kartalari



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3. To‘rt o‘zgaruvchili Karno kartalari
To‘rt o‘zgaruvchili Karno kartalarida ikki va uch o’zgaruvchili Karno kartalaridagi usullar qo‘llaniladi. Faqatgina to‘rt o‘zgaruvchili Karno kartalarida birinchi va to‘r tinchi ustunlar, birinchi va to‘rtinchi qatorlar bir-biriga qo‘shni hisoblanadi, chunki ular mos ravishda vertikal yoki gorizontal silindrlarga o‘ralsa, ushbu ustunlar yoki qatorlar bir-biriga qo‘shni bo‘lib qoladi. To‘rt o‘zgaruvchili Karno kartalarining to‘rtta burchagi ham bir-biriga qo‘shni hisoblanadi, chunki karta “sferaga” o‘ralsa, to‘rtta burchak bir-biriga qo‘shniga aylanadi.
Masalan; F(0,0,0,1)=F(0,0,1,1)=F(1,0,0,1)=F(1,0,1,1)=0

Karno kartasi bo‘yicha formulaning soddalashgan ko‘rinishi quyidagicha bo‘ladi: F(A,B,C)= BD


Quyida keltirilgan misollar uchun Karno kartalari tuzilsin, soddalashtirilsin, soddalashgan formulaga mos rele-kontakt sxemasi chizilsin:

5.1

F(0,0,0)=F(0,1,1)=F(1,1,0)=F(1,0,0)=1

5.2

F(0,0,0)=F(0,1,0)=F(1,1,0)=F(1,0,0)=1

5.3

F(0,0,1)=F(0,1,1)=F(1,1,1)=F(1,0,1)=1

5.4

F(0,0,1)=F(0,1,0)=F(1,1,0)=F(1,0,1)=1

5.5

F(0,0,0)=F(0,1,0)=F(1,1,1)=F(1,0,1)=1

5.6

F(0,0,0)=F(0,0,1)=F(1,0,0)=F(1,0,1)=1

5.7

F(0,1,0)=F(0,1,1)=F(1,1,0)=F(1,1,1)=1

5.8

F(0,0,0)=F(0,0,1)=F(0,1,0)=F(0,1,1)=1

5.9

F(0,0,0)=F(0,0,1)=F(1,1,0)=F(1,1,1)=1

5.10

F(1,1,0)=F(1,1,1)=F(1,0,0)=F(1,0,1)=1

5.11

F(0,1,0)=F(0,1,1)=F(1,0,0)=F(1,0,1)=1

5.12

F(0,1,0)=F(1,1,1)=F(1,0,0)=F(1,0,1)=1

5.13

F(0,1,0)=F(0,1,1)=F(1,1,1)=F(1,0,1)=1

5.14

F(0,1,1)=F(1,1,0)=F(1,1,1)=F(1,0,1)=1

5.15

F(0,0,0)=F(0,0,1)=F(0,1,0)=F(1,1,0)= F(1,0,0)=F(1,0,1)=1

5.16

F(0,0,0)=F(0,0,1)=F(0,1,1)=F(1,1,0)= F(1,0,0)=F(1,0,1)=1

5.17

F(0,0,0)=F(0,0,1)=F(1,1,0)=F(1,1,1)= F(1,0,0)=F(1,0,1)=1

5.18

F(0,0,0)=F(0,1,0)=F(0,1,1)=F(1,1,0)= F(1,1,1)=F(1,0,0)=1

5.19

F(0,0,0)=F(0,0,1)=F(0,1,0)=F(0,1,1)= F(1,1,0)=F(1,0,0)=1

5.20

F(0,0,0)=F(0,0,1)=F(0,1,0)=F(0,1,1)= F(1,1,0)=F(1,1,1)=1

5.21

F(0,0,0)=F(0,0,1)=F(0,1,0)=F(0,1,1)= F(1,0,0)=F(1,0,1)=1

5.22

F(0,1,0)=F(0,1,1)=F(1,1,0)=F(1,1,1)= F(1,0,0)=F(1,0,1)=1

5.23

F(0,0,0)=F(0,0,1)=F(0,1,0)=F(0,1,1)= F(1,1,0)=1

5.24

F(0,0,0)=F(0,1,0)=F(0,1,1)=F(1,1,0)= F(1,1,1)=1

5.25

F(0,0,0)=F(0,0,1)=F(0,1,0)=F(1,1,0)= F(1,0,0)=1

5.26

F(0,0,0)=F(0,1,0)=F(0,1,1)=F(1,1,0)= F(1,0,0)=1

5.27

F(0,0,0)=F(0,0,1)=F(0,1,0)=F(0,1,1)= F(1,1,0)=1

5.28

F(0,1,0,1)=F(0,1,1,1)=F(1,1,0,1)=F(1,1,1,1)=0

5.29

F(0,0,0,0)=F(0,0,1,0)=F(1,0,0,0)=F(1,0,1,0)=0

5.30

F(0,0,0,1)=F(0,0,1,1)=F(1,0,0,1)=F(1,0,1,1)=0



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