Tugas PTI sistem Bilangan

1 

1. DESIMAL

1.1 Desimal ke Biner

165₁₀=10100101₂

165/2=1
82/2 =0
41/2 =1
20/2 =0
10/2 =1
5/2 =0
2/2 =1
1/2 =0
0/2 =0

jadi 165₁₀=10100101₂


1.2 Desimal ke Oktal

165₁₀=245₈

165/8 = 20 sisa 5
20/8 = 2 sisa 4
2/8 = 0
Sisa 2

Jadi 165₁₀=245₈

1.3 Desimal ke Hexa

165₁₀=A5₁₆

165/16= 10 sisa 5
10/16 = 0 sisa A


jadi 165₁₀=A5₁₆
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2. Biner

2.1 Biner ke Desimal

10101101₂=(1x2⁷)+(0x2⁶)+(1x2⁵)+(0x2⁴)+(1x2³)+(1x2²)+(0x2¹)+(1x2⁰)
=128+0+32+8+4+0+1
=175₁₀

jadi 10101101₂=175₁₀

2.2 Biner ke Oktal
'Biner ==> Desimal ==> Oktal'

Biner ==> Desimal

10101111₂=(1x2⁷)+(0x2⁶)+(1x2⁵)+(0x2⁴)+(1x2³)+(1x2²)+(1x2¹)+(1x2⁰)
=128+0+32+8+4+2+1
=175₁₀

175/8=21 sisa 7
21/8=2 sisa 8
2/8=0 sisa 6

Jadi 10101111₂=687₈



2.3 Biner ke Hexa
'Biner ==> Desimal ==> Hexa'

Biner ==> Desimal

1001011₂=1x2⁶)+(0x2⁵)+(0x2⁴)+(1x2³)+(0x2²)+(1x2¹)+(1x2⁰)
=64+0+0+8+0+2+1
=75₁₀

Desimal ==> Hexa

75/16=4
4/16=0 sisa 11=B

Jadi 1001011₂=4B₁₆

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3.Oktal

3.1 Oktal ke Desimal

325₈=(3x8²)+(2x8¹)+(5x8⁰
=192+16+5
=213₁₀

Jadi 325₈=213₁₀

3.2 Oktal ke Biner

Oktal ==> desimal ==> Biner


Oktal ==> Desimal
222₈=(2x8²)+2x8¹)+2x8⁰)
=32+16+2
=50₁₀

Desimal ==> Biner
50/2= 0
25/2=1
12/2=0
6/2=0
3/2=1
1/2=1
0/2=0

Jadi 50₁₀= 110010₂

3.3 Oktal ke Hexa
Oktal ==> Desimal ==>Hexa

Oktal ==> Desimal

534₈=(5x8²)+(3x8¹)+(4x8⁰)
=320+24+14
=348₁₀

Desimal ==> hexa
348/16=21 sisa 11(B)
21/16=1 sisa 5
1/16=0
sisa 1

jadi 534₈=15B₁₆

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4. Hexa

4.1 Hexa ke Desimal

6E1₁₆=(6x16²)+(14x16¹)+(1x16⁰)
=1536+224+1
=1761₁₀

Jadi 6E1₁₆=1761₁₀

4.2 Hexa ke Biner
hexa ==>Desimal ==>Biner

Hexa ==>Desimal

2C₁₆=(2x16¹)+(12x16⁰)
=32+12
=44₁₀

Desimal ==>Biner

44/2=0
22/2=0
11/2=1
5/2=1
2/2=0
1/2=1
0/2=0

Jadi 6E1₁₆=101100₂

4.3 Hexa ke Oktal

Hexa ==> Desimal ==>Okta

Hexa==>Desimal
8AA₁₆=(8x16²)+(11x16¹)+(11x16⁰)
=2048+176+11
=2235₁₀

Desimal==>Oktal
2235/8=279 sisa 3
279/8=34 sisa 7
34/8=4 sisa 2
4/8=0
sisa=4

Jadi,8AA₁₆=4273₈