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Ma'lumki ikkilik sanoq sistemasi faqat ikkita: 0 va 1 raqamlaridan tashkil

topgan. Shu sistemada qo'shish, ayirish va ko'paytirish amallari quyidagicha
bajariladi:

Qo’shish		Ayirish		Ko’paytirish
0 + 0 = 0 0 + 1 = 1 1 + 0 = 1 1 + 1 = 10		– 0 = 0 1 – 0 = 1 10 – 0 = 10 10 – 1 = 1		0  0 = 0 0  1 = 0 1  0 = 0 1  1 = 1

Endi yuqoridagi jadvallar yordamida ikkilik sanoq sistemasidagi sonlar ustida turli arifmetik amallar bajarishga doir misollar ko'ramiz.

1-misol. Ikkilik sanoq sistemasidagi sonlarni qo’shing.

1. 
   1010 + 1110 c) 11001 + 1011
   

Y echish. 1010 Yechish. 11001
1110 1011
11000 100100
Javob'>Javob: 11000 Javob: 100100

2. 
   110101,01 + 10011,11 d) 10011011 + 11001,001
   

Y echish. 110101,01 Yechish. 10011011,000
10011,11 11001,001
1001001,00 10110100,001
Javob: 1001001 Javob: 10110100,001


2-misol. Ikkilik sanoq sistemasidagi sonlarni ayiring.

1. 
   1010 – 1001 c) 110001 – 1111
   

Y echish. 1010 Yechish. 110001
1001 1111
0001 100010
Javob: 1 Javob:100010

2. 
   1001001,101 – 11011,011 d) 101101 – 111,101
   

Y echish. 1001001,101 Yechish. 101101,000
11011,011 111,101
101110,010 100101,011
Javob: 101110,01 Javob: 100101,011


3-misol. Ikkilik sanoq sistemasidagi sonlarni ko’paytiring.

1. 
   101·11 c) 1010111 · 101
   

Y echish. 101 Yechish. 1010111
11 101
101 1010111
101 1010111 .
1111 110110011
Javob: 1111 Javob: 110110011

2. 
   110011,101 · 1101 d) 1000101,11 · 0,1101
   

Yechish. 110011,101 Yechish. 1000101,11
1101 0,1101
110011101 100010111
110011101 100010111
110011101 100010111 _
1010011111,001 111000,101011
Javob: 1010011111,001 Javob: 111000,101011

5. 
   Yangi mavzuni mustahkamlash.
   

Yangi mavzuni mustahkamlash uchun guruhdagi har bir o’quvchiga quyidagi topshiriqlar beriladi: Ikkilik sanoq sistemasida quyidagi amallarni bajaring.

1 – o’quvchiga		2 – o’quvchiga		3 – o’quvchiga
1011 + 1101 1011 – 11,0101 10101 · 111		101,01 + 111 101,11 – 11,01 101011 · 11		1011,101 + 1101 1011001 – 1101 101101 · 1,01

4 – o’quvchiga		5 – o’quvchiga		6 – o’quvchiga
111 + 1100,01 111 – 11,01 111010 · 101		1101 + 1101 11001 – 1,101 111,01 · 1,01		111,11 + 11,001 11011 – 11,011 11 · 10011

7 – o’quvchiga		8 – o’quvchiga
111 + 110101 1011,1001 – 11,01 101,01 · 0,111		11100 + 110,1 1011000 – 110101 110,10101 · 1,1

Uyga vazifa: darslikdagi 1-4 mashqlar.

Foydalanilgan adabiyotlar :

1. 
   Informatika 7 - sinf darsligi .
   

2. 
   Informatika fanidan DTS talablari .