Buxoro oziq ovkat va engil sanoat texnologiyasi instituti «axborot texnologiyalari»
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- TAJRIBA MAShG’ULOTI №2 TURLI SANOQ SISTEMALARIDA ARIFMETIK AMALLARNI BAJARISh. Ishning maqsadi
- 1.Uslubiy ko’rsatmalar
№ 15 a) X1 = 10100,1001; X2 = 111101,1110 . b) X1 = 722,465; X2 = 443,752 . s) X1 = VA5,747; X2 = A43,C54. № 16 a) X1 = 11111,1101; X2 = 1010101,110 . b) X1 = 273,622; X2 = 322,724 . s) X1 = 23D,45; X2 = 7C,A5. № 17 a) X1 = 11011010,0001; X2 = 10101101,10010 . b) X1 = 623,467; X2 = 267,362 . s) X1 = 723,1AV; X2 = FA,545. № 18 a) X1 = 1101100,11101; X2 = 11010101,110 . b) X1 = 543,752; X2 = 312,746 . s) X1 = 1D2,C45; X2 = 3C2,756. № 19 a) X1 = 1110110,10101; X2 = 1110101,010 . b) X1 = 654,275; X2 = 165,241 . s) X1 = D32,A45; X2 = 23A,F56 № 20 a) X1 = 101100,1101; X2 = 110111,100 . b) X1 = 256,276; X2 = 537,262 . s) X1 = F3,D45; X2 = AB2,764. № 21 a) X1 = 111111,111; X2 = 1010101,0110 . b) X1 = 573,277; X2 = 347,264 . s) X1 = AD2,654; X2 = 2AC,F54. № 22 a) X1 = 11011010,101001; X2 = 1010101,110 . b) X1 = 653,442; X2 = 672,267 . s) X1 = AC,3A5; X2 = 2F4,C54. № 23 a) X1 = 10110101,0001; X2 = 110101,110 . b) X1 = 273,752; X2 = 522,524 . s) X1 = 4AD,C45; X2 = 2F,D54. № 24 a) X1 = 10010100,10101; X2 = 1101101,110 . b) X1 = 463,262; X2 = 312,457 . s) X1 = AC6,DA; X2 = AC,F54. № 25 a) X1 = 10001100,11; X2 = 11001010,10 . b) X1 = 563,472; X2 = 512,754 . s) X1 = AB3,4B; X2 = 2F5,C54. № 26 a) X1 = 10001100,11; X2 = 11001010,10 . b) X1 = 563,462; X2 = 512,754 . s) X1 = AB3,4B; X2 = 2F5,C54. № 27 a) X1 = 100001,1111; X2 = 10101001,1010 . b) X1 = 647,356; X2 = 776,736 . s) X1 =5 VA,45; X2 = 2A,4V. № 28 a) X1 = 10011100,01; X2 = 1001101,1110 . b) X1 = 274,352; X2 = 217,123 . s) X1 = 5D,4A5; X2 = 2F,C4. № 29 a) X1 = 10101001,1111; X2 = 1010001,101 . b) X1 = 277,465; X2 = 230,463 . s) X1 = 2AD,655; X2 = 2C,AF4. № 30 a) X1 = 10001100,11; X2 = 10010101,110 . b) X1 = 643,242; X2 = 517,224 . s) X1 = 4AC,747; X2 = 2D,C5. 4 - chi topshiriq a) sakkizlik b) o’n oltilik sanoq sistemasida berilgan sonlarni ikkilik sanoq sistemasiga o’tkazing (triada va tetrada jadvallaridan foydalanib). 4-chi topshiriq bajarilishi uchun 3- chi topshiriq uchun berilgan variantlardan foydalaning ( b va s punktlaridan).
Mashg’ulotni bajarish tartibi
1. Uslubiy qismni o’qing. 2. Jurnal nomeriga tegishli variantni tanlang. 3. Topshiriqlarni bajaring.
TAJRIBA MAShG’ULOTI №2 TURLI SANOQ SISTEMALARIDA ARIFMETIK AMALLARNI BAJARISh. Ishning maqsadi:
a) ikkilik sanoq sistemasida arifmetik amallarni bajarish qoidalarini o’rgatish. b) sakkizlik sanoq sistemasida arifmetik amallarni bajarish qoidalarini o’rgatish. v) o’n oltilik sanoq sistemasida arifmetik amallarni bajarish qoidalarini o’rgatish.
Ma`lumki, ikkilik sanoq sistemasida fakat ikkita 0 va 1 raqamlari katnashadi. Shu sistemada qo’shish, ayirish va ko’paytirish kuyidagicha bajariladi: a) 0+0=0 b) 0- 0=0 v) 0 *0=0 0+1=1 1- 0=1 0 *1=0 1+0=1 10- 0=1 1 *0=0 1+1=10 1 *1=1 Endi ikkilik sanoq sistemasida turli arifmetik amallarni bajarishga doir misollarni ko’rib chiqamiz: 1- misol. 1011, 01 2 va 101, 101 2 sonlarning yig’indisini toping. Echish. 1011, 01 2
101, 101 2
________ 10000, 111 2 Javob: 10000, 111 2
2- misol. 101, 01 2 va 10, 10 2 sonlarning ayirmasini toping. Echish. _101, 01 2
2
_______ 10, 11 2
Javob: 10, 11 2
3- misol. 10111 2 va 101
2 sonlarining ko’paytmasini toping. Ikkilik sanoq sistemasida sonlarni ko’paytirish o’nlik sanoq sistemasidagi qoida kabi bajariladi: Echish: 10111 2
101 2
_________ 10111 + 00000 10111 __________ 1110011 2
Javob: 1110011 2
Sakkizlik sanoq sistemasida arifmetik amallar bajarish. Ma`lumki, sakkizlik sanoq sistemasida sonlarni yozish uchun xammasi bo’lib sakkizta raqam (0, 1, 2, 3, 4, 5, 6, 7) dan foydalaniladi, ya`ni uning asosi q=8 ga tengdir. Sakkizlik sanoq sistemasida qo’shish, ayirish va ko’paytirish quyidagi ikki jadvaldan foydalanilgan xolda amalga oshiriladi. Sakkizlik sanoq sistemasida qo’shish jadvali: + 0
2 3 4 5 6 7 0 0 1 2 3 4 5 6 7 1 1 2 3 4 5 6 7 10 2 2 3 4 5 6 7 10
11 3 3 4 5 6 7 10
11 12
4 4 5 6 7 10 11 12
13 5 5 6 7 10 11 12
13 14
6 6 7 10 11
12 13
14 15
7 7 10 11 12
13 14
15 16
Sakkizlik sanoq sistemasida ko’paytirish jadvali:
* 0 1 2 3 4 5 6 7 0 0 0 0 0 0 0 0 0 1 0 1 2 3 4 5 6 7 2 0 2 4 6 10
12 14
16 3 0 3 6 11 14 17
22 25
4 0 4 10 14
20 24
30 34
5 0 5 12 17
24 31
36 43
6 0 6 14 22
30 36
44 52
7 0 7 16 25
34 43
52 61
Endi shu jadvallardan foydalanib misollar bajaramiz. 4 - misol. 732 8 va 324 8 yig’indisi va ayirmasini toping. Echish. Qo’shish va ayirish amali, odatdagidek, sonlarni bir ustunga yozib amalga oshiriladi: a) 732 8 b) 732 8,
+ 324 8 - 324 8
1256 8 406 8 Javob: 1256 8 va 406 8
5 - misol. 363, 32 8
va 23, 7 8
sonlarining yig’indisini va ayirmasini toping. Echish. a) 363, 32 8 b) 363, 32 8
+ 23, 7 8 - 23, 7 8
407, 22 8 337, 42 8
Javob:407, 22 8
va 337, 42 8
6 - misol. 23 8 sonini 148 8 soniga ko’paytiring.
Echish. Sonlarni sakkizlik sanoq sistemasida ko’paytirish uchun ularni odatdagidek bir ustunga yozib, ketma - ket ko’paytiramiz. Va xosil bulgan ko’paytmalarni qo’shib chiqamiz: 23 8
* 14 8
___ 114
+ 23 ____
344
8 Javob: 344 8
oltilik sanoq sistemasi. Sonlarni o’n oltilik sanoq sistemasida ifodalash uchun o’n oltita raqam: 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F dan foydalaniladi. O’n oltilik sanoq sistemasida o’n olti soni 10 ga teng.
O’n oltilik sanoq sistemasida sonlar ustida arifmetik amallar bajarish qoidalari xam o’nlik sonlardagiga uxshashu, lekin ko’p xonali sonlar ustida amallar bajarilayotganda bir xonali o’n oltilik sonlarni qo’shish va ko’paytirish jadvallaridan foydalanish kerak. O’n oltilik sanoq sistemasida qo’shish jadvali: + 0 1 2 3 4 5 6 7 8 9 A B C D E F 0 0 1 2 3 4 5 6 7 8 9 A B C D E F 1 1 2 3 4 5 6 7 8 9 A B C D E F 10 2 2 3 4 5 6 7 8 9 A B C D E F 10 11
3 3 4 5 6 7 8 9 A B C D E F 10 11 12 4 4 5 6 7 8 9 A B C D E F 10 11 12 13 5 5
7 8 9 A B C D E F 10 11 12 13 14 6 6 7 8 9 A B C D E F 10 11 12 13 14 15 7 7 8 9 A B C D E F 10 11 12 13 14 15 16 8 8 9 A B C D E F 10 11 12 13 14 15 16 17 9 9 A B C D E F 10 11 12 13 14 15 16 17 18 A A B
C D E F 10 11 12 13 14 15 16 17 18 19 B B
D E F 10 11 12 13 14 15 16 17 18 19 1A C C D E F 10 11 12 13 14 15 16 17 18 19 1A 1V D D E
F 10 11 12 13 14 15 16 17 18 19 1A 1V 1S E E
10 11 12 13 14 15 16 17 18 19 1A 1V 1S 1D F F 10 11 12 13 14 15 16 17 18 19 1A 1V 1S 1D 1E
7- misol. A3V9, EF 16 soniga 342, A1 16 sonini qo’shing. Echish. A3V9, EF 16
16
__________ A6FC, 90 16 Javob: A6FS, 90 16
8- misol. 12FE, AV 16
sonidan AVS, 13 16
sonini ayiring. Echish. 12FE, AV 16
- AVS, 13 16
_________ 842, 98 16 Javob: 842, 98 16
O’n oltilik sanoq sistemasida ko’paytirish jadvali:
*
2 3 4 5 6 7 8 9 A B C D E F 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 5 6 7 8 9 A B C D E 10 2 2 4 6 8 A C E 10 12 14 16 18 1A 1C 1E 3 3 6 9 C F 12 15 18 1B 1E 21 24 27 2A 2D 4 4
C 10 14 18 1C 20 24 28 2C 30 34 38 3C 5 5
F 14 19 1E 23 28 2D 32 37 3C 41 46 4B 6 6
12 18 1E 24 2A 30 36 3C 42 48 4E 54 5A 7 7 E 15 1C 23 2A 31 38 3E 46 40 54 58 62 69 8 8
9 9 12 1B 24 2D 36 3F 48 51 5A 63 6C 75 7E 87 A A 14 1E 28 32 3C 46 50 5A 64 6E 78 82 8C 96 B B 16 21 2C 37 42 4D 58 63 6E 79 84 8F 9A A5 C C 18 24 30 3C 48 54 60 6C 78 84 90 9C A8 V4 D D 1A 27 34 41 4E 5B 68 75 82 8F 9C A9 B6 C3 E E 1C 2A 38 46 54 62 70 7E 8C 9A A8 B6 C4 D2 F F 1E 2D 3C 4B 5A 59 78 87 96 A5 B4 C3 D2 E1
9- misol. A3E, 12 16 sonini 39, A1 16 soniga ko’paytiriing. Echish.
A3E, 12 16
* 39, A1 16
________ A3E12 + 666CB4 5C2EA2 1EVA36 ______________ 24E43, OB52 16
Javob: 24E43, OB52 16
II. 2- chi tajriba mashg’ulot variantlari Topshiriq a) Ikkilik sanoq sistemasida berilgan sonlar ustida qo’shish, ayirish, ko’paytirish amallarini bajaring; b) sakkizlik sanoq sistemasida berilgan sonlar ustida qo’shish, ayirish, ko’paytirish amallarini bajaring; s) o’n oltilik sanoq sistemasida berilgan sonlar ustida qo’shish, ayirish, ko’paytirish amallarini bajaring
а) Х1 = 1000,100; Х2 = 1101,010 . b) Х1 = 767,21; Х2 = 567,046 . с) Х1 = 3A,2F; Х2 = 5A,8C.
а) Х1 = 101100,1101; Х2 = 110101,110 . b) Х1 = 653,442; Х2 = 512,624 . с) Х1 = C,745; Х2 = 2C,C54. № 3 а) Х1 = 10110,10101; Х2 = 11001001,10010 . b) Х1 = 676,235; Х2 = 716,254 . с) Х1 = 5C7,745; Х2 = 2A,C54. № 4 а) Х1 = 11111,1101; Х2 = 1010101,110 . b) Х1 = 233,672; Х2 = 322,724 . с) Х1 = 23D,45; Х2 = 7C,A5. № 5 а) Х1 = 10110101,0001; Х2 = 110101,110 . b) Х1 = 253,742; Х2 = 522,524 . с) Х1 = 4AD,C45; Х2 = 2F,D54. № 6 а) Х1 = 10011100,01; Х2 = 1001101,1110 . b) Х1 = 244,372; Х2 = 267,165 . с) Х1 = 5D,4A5; Х2 = 2F,C4. Download 1.04 Mb. Do'stlaringiz bilan baham: |
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