Contoh Soal Konversi Bilangan Digital

Mengubah basis bilangan menjadi 3 basis bilangan lain (biner, decimal, octal atau heksadecimal )

1001101₂

Biner ke decimal

1001101₂ = (2⁶x1)+(2⁵x0)+(2⁴x0)+(2³x1)+(2²x1)+(2¹x0)+(2⁰x1)

= 64+0+0+8+4+0+1

= 77₁₀

Biner ke octal

1001101₂ = 1.001.101

= (2⁰x1).(2²x0)+(2¹x0)+(2⁰x1).(2²x1)+(2¹x0)+(2⁰x1)

= 1.1.5

= 115₈

Biner ke heksadecimal

1001101₂ = 100.1101

= (2²x1)+(2¹x0)+(2⁰x0).(2³x1)+(2²x1)+(2¹x0)+(2⁰x1)

= 4.13

= 4D₁₆

_{2. 3F16}

Heksadecimal ke biner

3F₁₆ = 3.F

= 3.15

= 11.1111

= 111111₂

Heksadecimal ke decimal

3F₁₆ = 111111₂

= (2⁵x1)+(2⁴x1)+(2³x1)+(2²x1)+(2¹x1)+(2⁰x1)

= 32+16+8+4+2+1

= 63₁₀

Heksadecimal ke octal

3F₁₆ = 111111₂

= 111.111

= (2²x1)+(2¹x1)+(2⁰x1).(2²x1)+(2¹x1)+(2⁰x1)

= 7.7

= 77₈

_{3. 778}

Octal ke biner

77₈ = 7.7

= 111.111

= 111111₂

Octal ke decimal

77₈ = (8¹x7)+(8⁰x7)

= 56+7

= 63₁₀

Octal ke heksadecimal

77₈ = 111111₂

= 11.1111

= (2¹x1)+(2⁰x1).(2³x1)+(2²x1)+(2¹x1)+(2⁰x1)

= 3.15

= 3F₁₆

_4.5916

Heksadecimal ke biner

59₁₆ = 5.9

= 101.1001

= 1011001₂

Heksadecimal ke decimal

59₁₆ = (16¹x5)+(16⁰x9)

= 80+9

= 89₁₀

Heksadecimal ke octal

59₁₆ = 1011001₂

= 1.011.001

= (2⁰x1). (2²x0)+(2¹x1)+(2⁰x1). (2²x0)+(2¹x0)+(2⁰x1)

= 1.3.1

= 131₈

15₁₆

Heksadecimal ke biner

15₁₆ = 1.5

= 1.0101

= 10101₂

Heksadecimal ke decimal

15₁₆ = (16¹x1)+(16⁰x5)

= 16+5

= 21₁₀

Heksadecimal ke octal

15₁₆ = 10101₂

= 10.101

= 2.5

= 25₈

A12B₁₆

Heksadecimal ke biner

A12B₁₆ = A.1.2.B

= 10.1.2.11

= 1010.0001.0010.1011

= 1010000100101011₂

Heksadecimal ke decimal

A12B₁₆ = A.1.2.B

= 10.1.2.11

= (16³x10)+(16²x1)+(16¹x2)+(16⁰x11)

= 40960+256+32+11

= 41259₁₀

Heksadecimal ke octal

A12B₁₆ = 1010000100101011₂

= 1.010.000.100.101.011

= 1.2.0.4.5.3

= 120453₈

111001₂

Biner ke decimal

111001₂ = (2⁵x1)+(2⁴x1)+(2³x1)+(2²x0)+(2¹x0)+(2⁰x1)

= 32+16+8+0+0+1

= 57₁₀

Biner ke octal

111001₂ = 111.001

= 7.1

= 71₈

Biner ke heksedecimal

111001₂ = 11.1001

= 3.9

= 39₁₆