Amaliy mashg`ulot uchun Mundarija

Mavzu: Ko`p parametrli metodlar e’lon qilish va ulardan foydalanish…………………………………..

Amaliy mashg’ulоt № 1.

Mavzu: Sanoq sistemalarida arifmetik amallar.

MASHG’ULOTNING MAQSADI: Sanoq sistema ustida barcha amallarni bajarishni o`rgatish.
MASHG’ULOTNING JIHОZI: Ko’rgazmali material: kompyuterning xotira qurilmalari.
MASHG’ULOT O’TISH VОSITASI: Pentium IV kоmpyuterlari (qo’shimcha qurilmalari) bilan jihоzlangan kоmpyuter sinfi.
MASHG’ULOTNING BОRISHI:
a) Guruhning va xоnaning darsga tayyorligini aniqlash.
b) Yo’qlama qilish.
c) Avvalgi mashg’ulоtlarda o’tilganlarni takrоrlash bo’yicha suhbat o’tkazish: o’tilgan mavzularni qisqacha takrоrshlash.
g) Yangi mavzuning bayoni:Sanoq sistema haqida ma’lumotlar beriladi.
d) Kоmpyuter xоnasida mashg’ulоt оlib bоrish.O’rganganlari ustida mashq qilish.
e) Dars yakuni: Mustaqil ish uchun individual topshiriqlarni berish.
Amaliy mashg`ulot mavzu rejasi:

1. 
   Sanoq sistema haqida tushuncha.
   
2. 
   Sanoq sistema ustida amallar.
   

Quyidagi 10 li sanoq sistemasidagi sonlarni 2 li, 8 li va 16 li sanoq sistemasidagi o’tkazing . (а,в,д)
a) 267₁₀ →X₂ b) 267₁₀ →Y₈ c) 267₁₀ →X₁₆
d) 267,68₁₀ →X₂ e) 267,68₁₀ →Y₈ f) 267,68₁₀ →X₁₆
Topshiriqni bajarish:

267| 8 b)
264| 33| 8
3 32| 4
1
Demak, 267₁₀=413₈

267| 2 a)
266| 133| 2
1 132| 66| 2
1 66| 33| 2
0 32| 16| 2
1 16| 8| 2
0 8| 4| 2
0 4| 2| 2
0 2| 1
0
Demak, 267₁₀=100001011₂

267| 16 c)
256| 16| 16
11 16| 1
0
Demak, 267₁₀=10B₁₆

Berilgan misoldagi sonlarni butun qismi yuqorida aniqlangan. Shuning uchun ularni kasr qismi ustida amallarni bajaramiz.

d) _x 0,68 _x 0,36 _x 0,72 … Demak, 267,68₁₀=100001011,101₂
2 2 2
1,36 0,72 1,44

e) _x 0,68 _x 0,44 _x 0,52 ... Demak, 267,68₁₀=413,534₈

8 8 8
5,44 3,52 4,16

f) _x 0,68 _x 0,88 _x 0,08 … Demak, 267,68₁₀= 10B,AE1₁₆

16 16 16
10,88 14,08 1,28
2-Topshiriq.Quyidagi sonlarni 10 li sanoq sistemasiga o’tkazing. (а, в, д, е)
a) 100001011,101₂ →X₁₀
100001010,101₂=1*2⁸+0*2⁷+0*2⁶+0*2⁵+0*2⁴+1*2³+0*2²+1*2¹+1*2⁰+1*2^-1+0*2^-2+1*2^-3=
256+8+2+1+0,5+0,125=267,625₁₀
b) 413,534₈→Y₁₀
413,534₈=4*8²+1*8¹+3*8⁰+5*8^-1+3*8^-2+4*8^-3=256+8+3+0,625+0,1725+0,0156≈267,68₁₀
c) 10B,AE1₁₆→Z₁₀
10B,AE1₁₆=1*16²+0*16¹+11*16⁰+10*16^-1+14*16^-2+1*16^-3=256+11+0,625+0,054+0,01 ≈267,68₁₀
3-Topshiriq. Quyidagi yig’indini hisoblang. (а, в, г, д). Olingan natijalarni tekshiring.
a) 10000000100₂ + 111000010₂ = 10111000110_2
+ 1 0 0 0 0 0 0 0 1 0 0
1 1 1 0 0 0 0 1 0
1 0 1 1 1 0 0 0 1 1 0

b) 232,2₈ + 427,54₈ = 662,74_8
+ 232,2
427,54
661,74

Tekshirish:

232,2₈=2*8²+3*8¹+2*8⁰+2*8^-1=128+24+2+0,25=154,25₁₀
427,54₈=4*8²+2*8¹+7*8⁰+5*8^-1+4*8^-2=256+16+7+0,625+0,0625=279,6875₁₀
661,74₈=6*8²+6*8¹+1*8⁰+7*8^-1+4*8^-2=384+48+1+0,875+0,0625=433,9375₁₀
154,25₁₀+279,6875₁₀=433,9375₁₀

c) 3B3,6₁₆ + 38B,4₁₆ = 73E,A_16
+ 3B3,6
38B,4
73E,A

Tekshirish:
3B3,6₁₆=3*16²+11*16¹+3*16⁰+6*16^-1=768+176+3+0,375=947,375₁₀
38B,4₁₆=3*16²+8*16¹+11*16⁰+4*16^-1=768+128+11+0,25=907,25₁₀
73E,A₁₆=7*16²+3*16¹+14*16⁰+10*16^-1=1792+48+14+0,625=1854,625₁₀
947,375₁₀+907,25₁₀=1854,625₁₀
4-Topshiriq. Quyidagi ayirmani hisoblang. (а, в, г, д). Olingan natijalarni tekshiring.
а) 1100000011,011₂ – 101010111,1₂=110101011,111_2
- 1 1 0 0 0 0 0 0 1 1,0 1 1
1 0 1 0 1 0 1 1 1,1 0 0
1 1 0 1 0 1 0 1 1,1 1 1
Tekshrish:
1100000011,011₂=1*2⁹+1*2⁸+0*2⁷+0*2⁶+0*2⁵+0*2⁴+0*2³+0*2²+1*2¹+1*2⁰+0*2^-1+1*2^-2+1*2^-3= =512+256+2+1+0,25+0,0625=771,3125₁₀
101010111,1₂=1*2⁸+0*2⁷+1*2⁶+0*2⁵+1*2⁴+0*2³+1*2²+1*2¹+1*2⁰+1*2^-1= 256+64+16+4+2+1+0,5=343,5₁₀
110101011,111₂=1*2⁸+1*2⁷+0*2⁶+1*2⁵+0*2⁴+1*2³+0*2²+1*2¹+1*2⁰+1*2^-1+1*2^-2+1*2^-3= 256+128+32+8+2+1+0,5+0,25+0,0625=427,8125₁₀ 771,3125₁₀ -343,5₁₀=427,8125₁₀
б) 1510,2₈ – 1230,54₈= 257,44_8
- 1510,20
1230,54
257,44
Tekshrish:
1510,2₈ = 1*8³+5*8²+1*8¹+0*8⁰+2*8^-1 =512+320+8+0,25=840,25₁₀
1230,54₈ = 1*8³+2*8²+3*8¹+0*8⁰+5*8^-1+4*8^-2=512+128+24+0,625+0,0625=664,6875₁₀
257,44₈ = 2*8²+5*8¹+7*8⁰+4*8^-1+4*8^-2=128+40+7+0,5+0,0625=175,5625₁₀
840,25₁₀ - 664,6875₁₀ = 175,5625₁₀
в) 27D,D8₁₆ -191,2₁₆ = EC,B8_16
- 27D,D8
191, 20
EC,B8
Tekshrish:
27D,D8₁₆ = 2*16²+7*16¹+13*16⁰+13*16^-1+8*16^-2 =512+112+13+0,8125+0,03125=637,84375₁₀
191, 2₁₆ = 1*16²+9*16¹+1*16⁰+2*16^-1=256+144+1+0,125= 401,125₁₀
EC,B8₁₆ = 14*16¹+12*16⁰+11*16^-1+8*16^-2 = 224+12+0,6875+0,03125=236,71875₁₀
637,84375₁₀ - 401,125₁₀ = 236,71875₁₀
5-Topshiriq. Quyidagi ko’paytmani hisoblang.(а, б, в)
а) 100111₂ ∙ 1000111₂ = 101011010001₂

x 100111
1000111
100111
+ 100111
100111
100111______
101011010001

Tekshirish:
100111₂ = 1*2⁵+0*2⁴+0*2³+1*2²+1*2¹+1*2⁰ = 32+4+2+1 = 39₁₀
1000111₂ =1*2⁶+0*2⁵+0*2⁴+0*2³+1*2²+1*2¹+1*2⁰ =64+4+2+1 = 71₁₀
101011010001₂ = 1*2¹¹+0*2¹⁰+1*2⁹+0*2⁸+1*2⁷+1*2⁶+0*2⁵+1*2⁴+0*2³+ 0*2²+0*2¹+1*2⁰ = =2048+512+128+64+16+1=2769₁₀
39₁₀ ∙ 71₁₀ = 2769₁₀

_x 0,805 _x 0,44 _x 0,52
8 8 8
6,440 3,52 4,16

606| 8
600| 75| 8
6 72| 9| 8
3 8| 1
1

б) 17,64₈ ∙ 46,3₈ = 1136,634₈
17,64₈ = 1*8¹+7*8⁰+6*8^-1+4*8^-2 = 8+7+0,75+0,0625=15,8125₁₀
46,3₈ = 4*8¹+6*8⁰+3*8^-1= 32+6+0,375=38,375₁₀
15,8125₁₀ ∙ 38,375₁₀ = 606,805₁₀

с) 21,A₁₆ ∙ 10,D₁₆ =24B,DCE₁₆

21,A₁₆=2*16¹+1*16⁰+10*16^-1=32+1+0,625=33,0625₁₀
10,D₁₆=1*16¹+0*16⁰+13*16^-1=16+0,8125=16,8125₁₀
33,0625₁₀ ∙ 16,8125₁₀ =555,863₁₀

555|16
544| 34|16
11 32| 2
4

_X 0,863 _X 0,808 _X 0,928
16 16 16
13,808 12,928 14,848


Sanoq sistema jadvali

10 lik	2 lik	3 lik	4 lik	5 lik	6 lik	7 lik	8 lik	9 lik	16 lik
0	0	0	0	0	0	0	0	0	0
1	1	1	1	1	1	1	1	1	1
2	10	2	2	2	2	2	2	2	2
3	11	10	3	3	3	3	3	3	3
4	100	11	10	4	4	4	4	4	4
5	101	12	11	10	5	5	5	5	5
6	110	20	12	11	10	6	6	6	6
7	111	21	13	12	11	10	7	7	7
8	1000	22	20	13	12	11	10	8	8
9	1001	100	21	14	13	12	11	10	9
10	1010	101	22	20	14	13	12	11	A
11	1011	102	23	21	15	14	13	12	B
12	1100	110	30	22	20	15	14	13	C
13	1101	111	31