Mavzu: Sanoq sistemalari. Bir sanoq sistemasidan boshqa sanoq sistemasiga o‘tish. Sanoq sistemalari ustida amallar bajarish

2. Misol. 50₈→X₂
1-qadam 50₈→ X₁₀ =0•8⁰+5•8¹=40₁₀
2-qadam X₁₀→X₂ 40:2=20 0 Demak natija 101000₂
20:2=10 0
10:2=5 0
5:2=2 1
2:2=1 0
1:2=0 1
Xuddi shunday 8 likdan sanoq sistemasidan 2,3,4,5,6,7,9,10,11,…..36 lik sanoq sistemalariga o‘tish mumkin
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3. Misol. 50₁₀→X₈
1-qadam 50₁₀→ X₈ 50:8=6 2 Demak natija 62₂
6:8=0 6
Xuddi shunday 10 likdan sanoq sistemasidan 2,3,4,5,6,7,8,9,11,…..36 lik sanoq sistemalariga o‘tish mumkin
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4. Misol. 60₁₆→X₈

1	0
6	0

1-qadam 60₁₆→ X₁₀ =0•16⁰+6•16¹=96₁₀

2-qadam X₁₀→ X₈ 96:8=12 0 Demak natija 140₂
12:8=1 4
1 : 8=0 1
Xuddi shunday 10 likdan sanoq sistemasidan 2,3,4,5,6,7,8,9,11,…..36 lik sanoq sistemalariga o‘tish mumkin
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4	3	1
100	011	001

0	1	2	3	4	5	6	7
000	001	010	011	100	101	110	111

5. Misol. 100011001₂ 2lik sanoq sistemasida berilgan bo‘lsin. Triada jadvalidan foydalanib 8 lik sanoq sistemasiga o‘tkazamiz.

0	1	2	3	4	5	6	7
0000	0001	0010	0011	0100	0101	0110	0111
8	9	A	B	C	D	E	F
1000	1001	1010	1011	1100	1101	1110	1111

6. Misol. 100011001₂ 2lik sanoq sistemasida berilgan bo‘lsin. Tetrada jadvalidan foydalanib 16 lik sanoq sistemasiga o‘tkazamiz.

1	1	9
0001	0001	1001

Turli sanoq sistemalari ustida amallar bajarish.

1 1 0 1 + 1 0 1 ______________ 1 0 0 1 0	1	1	0	1				1	1	0	1
-		1	0	1			*		1	0	1
______________							______________
	1	0	0	0				1	1	0	1
							0	0	0	0
						1	1	0	1
					_________________________
					1	0	0	0	0	0	1

Misol.
(A8₁₆+6₈)*100₂=X₁₀
1-qadam. 6₈ → X₁₀ = 6•8⁰=6₁₀
2-qadam. A8₁₆ → X₁₀ = 8•16⁰+10•16¹=168₁₀
3-qadam. 6₁₀ + 168₁₀ = 174₁₀
4-qadam. 100₂ → X₁₀ = 0•2⁰+0•2¹+1•2²=4₁₀
5-qadam. 174₁₀ *4₁₀ = 696₁₀ Natija: 696₁₀