O’ O`zbekiston respublikasi

3- topshiriq. Ikkilik sanoq sistemasidagi 1101 sonini o‘nlik sanoq sistemasiga o‘kazing yani

Yechish: (2) formuladan foydalanamiz:



4-topshiriq. Berilgan o‘nlik sanoq sistemadagi sonni ikkilik va sakkizlik sanoq sistemadagi songa o‘tkazing:

a) b)

Yechish: 1- qoidadan foydalanamiz:

a) b)

13 2 13 8

12 6 2 8 1

1 6 3 2 5

0 2 1

Demak, 1 Demak,

5-topshiriq. Berilgan sakkizlik sanoq sistemasidagi sonni ikkilik sanoq sistemasiga va aksincha, ikkilik sanoq sistemasidagi sonni sakkizlik sanoq sistemasiga o‘tkazing

a) b)

Yechish: a) 1-jadvaldan foydalanamiz, ya’ni sakkizlik sanoq sistemasidagi 4 soniga ikkilik sistemada 100; 6 soniga 110 soni mos keladi (ba’zan u uchlik deb yuritiladi):

a )

b )
6-topshiriq. a) 0,125 o‘nlik kasrni ikkilik sanoq sistemasidagi songa o‘tkazing.

b)0,3125 o‘nlik kasrni sakkizlik sanoq sistemasidagi songa o‘tkazing.

Yechish: 2-qoidadan foydalanamiz:

a ) 0, 125 b) 0, 3125

*2 *8

0 250 2 5000

*2 *8

0 500 4 0000

*2

1 000

Demak, Demak,



Tоpshiriqlar.

a) bandidagi sоnni yoyilma shaklida yozing,

b)bandidagi bеrilgan sanоq sistеmasidagi sоnni talab qilingan sanоq sistеmasiga o‘tkazing.
1. a) 91, 756_[10] →N_[yoyilmasi] 2. a) 133,34_[10] → N_[yoyilmasi]

b) 127,642_[8] → X_[2] b) 3,27_[8] →X_[2]

3. a) 19121,1_[10] →N_[yoyilmasi] 4. a) 191,39_[10] → N_[yoyilmasi]

b) 10101,11_[2] → X_[10] b) 101,11_[2] → X_[10]

5. a) 14,289_[10] → N_[yoyilmasi] 6. a) 4,34375_[10] → N_[yoyilmasi]

b) 1634,8_[8] → X_[10] b) 3,173_[8] → X_[2]

7. a) 14,363_[10] → N_[yoyilmasi] 8. a) 83,716_{[ 10]} → N_[yoyilmasi]

b) 449,65_[10] → X_[2] b) 101,11_[2] → X_[8]

9. a) 14,41_[10] → N_[yoyilmasi] 10. a) 37,481_[10] → N_[yoyilmasi]

b) 10101,1_[2] → X_[8] b) 0,481_[10] → X_[8]

11. a) 13,44_[10] →N_[yoyilmasi] 12. a) 14,817_[10] → N_[yoyilmasi]

b) 0,125_[10] → X_[2] b) 0,361_[10] → X_[2]

13. a) 21,756_[10] → N_[yoyilmasi] 14. a) 15, 29_[10] →N_[yoyilmasi]

b) 0,137_[10] → X_[2] b) 0,482_[10] → X_[2]