Misol 7. 278 va 1468 ning ko`paytmasini hisoblang.
Yechish.
Bir sanoq tizimdan ikkinchi sanoq tizimga o`tish
Boshqa sanoq tizimidagi sonlarni o`nlik sanoq tizimiga o`tkazish uchun quyidagi formuladan foydalaniladi:
bunda - berilgan sonning butun qismlari koeffitsientlari; - sanoq tizimining asosi; - sonning kasr qismi.
Misol 8. 1011102 ikkilik sanoq tizimidagi sonni o`nlik sanoq tizimiga o`tkazing.
Yechish. Yuqoridagi formulaga asosan , . Bu holda,
O’nlik sanoq tizimidagi sonni ixtiyoriy sanoq tizimiga o`girish uchun uni o`zining asosiga bo`lish kerak, toki natija 1 ga teng bo`lgunga qadar.
Misol 9. 3710 sonini ikkilik sanoq tizimida yozing.
Yechish.
Natija: 3710=1001012
Misol 10. O`nlik sanoq tizimidagi 0,25 sonni ikkilik sanoq tizimida yozing.
Yechish.
Natija: 0,012
Ikkilik sanoq sistemasida amallar bajarish
Ikkilik sanoq sistemasida 2 ta raqam: 0 va 1 mavjud. O‘nlik, sakkizlik sanoq sistemasidagi sonlar ikkilik sanoq sistemasida quyidagicha ifodalanadi:
|
O‘nlik s/s. son
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
11
| |
Sakkizlik s/s. son
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
10
|
11
|
12
|
13
| |
Ikkilik s/s. son
|
0
|
1
|
10
|
11
|
100
|
101
|
110
|
111
|
1000
|
1001
|
1010
|
1011
|
Ikkilik sanoq sistemasidagi sonlar ustida turli arifmetik amallar bajarishga oid misollar:
|
1-misol. 10011+ 11001
|
2-misol. 1101101,001+1000101,001
| |
Yechish:
+ 10011
11001
-----------------
101100
Javob: 101100
|
Yechish:
+1101101,001
1000101,001
------------------------
10110010,010
Javob: 10110010,010
| |
3-misol. 101010 – 10011
Yechish:
– 101010
10011
-----------------
10111
Javob: 10111
|
4-misol. 110011,01 – 10111,101
Yechish:
- 110011,010
10111,101
-------------------
11011,101
Javob: 11011,101
| |
5-misol. 110011 101
|
6- misol. 101,11 11,01
| |
Yechish:
110011
101
------------
+ 110011
110011
------------
11111111
Javob: 11111111
|
Yechish:
101,11
11,01
--------------
10111
+ 10111
10111
-------------
10010,1011
Javob: 10010,1011
|
|
7-misol. 1000010010 : 110101
|
8- misol. 1000000,10011:110,101
| |
Yechish:
-
|
_1000010’010
|
110101
| |
110101
|
1010
| |
_ 110101
|
| |
110101
|
| |
0
|
|
|
|
Javob: 1010
|
Yechish:
|
_ 100000010’011
|
11010100
| |
11010100
|
1001,11
| |
_ 101110 011
|
| |
11010 100
|
| |
_ 10011 1110
|
| |
1101 0100
|
| |
_ 110 10100
|
| |
110 10100
|
| |
0
|
|
Javob:1001,11
|
Mustaqil yechish uchun misollar
Quyidagi amallarni bajaring
Ikkilik sanoq tizimida amallarni bajaring
|
1.
|
1112+1012;
|
101,112-10,12;
|
11,12*1,012;
| |
2.
|
101,112+10,1;
|
1112-1012;
|
10,12*1,012;
| |
3.
|
111012+11012;
|
100,112-11,12;
|
1112*1,0012;
| |
4.
|
111012+11012;
|
100,112-11,12;
|
1112*10,12;
| |
5.
|
1110012+11112;
|
1000,012-1111,12;
|
1,012*1,012;
| |
6.
|
101112+11012;
|
1001,112-1012;
|
1,12*1,112;
| |
1.
|
778+6538;
|
6278-3678;
|
358*228.
| |
2.
|
6778+538;
|
7228-3678;
|
458*328.
| |
3.
|
7658+4538;
|
6138-4668;
|
1058*228.
| |
4.
|
7658+4538;
|
6138-4668;
|
1058*228
| |
5.
|
6078+6538;
|
6028-3678;
|
558*768
|
Ikkilik sanoq tizimidagi sonlarni o`nlik sanoq tizimida yozing.
|
1.
|
10111, 112;
|
7.
|
101,01012;
|
13.
|
10,111112;
|
19.
|
111010,1012;
| |
2.
|
1000,0012;
|
8.
|
111010,1012;
|
14.
|
111,11100012;
|
20.
|
1110,01012;
| |
3.
|
110,012;
|
9.
|
1110,0012;
|
15.
|
11100, 01112;
|
21.
|
101, 101012;
| |
4.
|
10,01012
|
10.
|
1100,0012;
|
16.
|
100011,0012;
|
22.
|
1100,110012;
| |
5.
|
101,1012;
|
11.
|
110,001012;
|
17.
|
110,0111112;
|
23.
|
1101,0011012;
|
O`nlik sanoq tizimidagi sonlarni ikkilik sanoq tizimida yozing.
|
1.
|
12710; 11,2510;
|
9.
|
38710; 4,2510;
|
17.
|
29710; 421,2510;
| |
2.
|
23410; 23,510;
|
10.
|
17710; 25,12510;
|
18.
|
23710; 239,2510;
| |
3.
|
8610; 34,12510;
|
11.
|
34110; 13,0510;
|
19.
|
80610; 94,87510;
| |
4.
|
7510; 10,62510;
|
12.
|
10610; 12,62510;
|
20.
|
75910; 18,62510;
|
http://fayllar.org
|
