NUMBER SYSTEMS

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15 Terms

1
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Binary → Decimal

Multiply each bit × 2ⁿ, add.

2
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Octal → Decimal

Multiply each digit × 8ⁿ, add.

3
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Hex → Decimal

Multiply each digit × 16ⁿ, add

4
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Decimal → Binary

Divide by 2, record remainders (bottom-up).

5
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Decimal → Octal

Divide by 8, record remainders.

6
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Decimal → Hex

Divide by 16, record remainders

7
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Octal → Binary

Convert each octal digit → 3-bit binary.

8
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Hex → Binary

Convert each hex digit → 4-bit binary

9
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Binary → Octal

Group in 3 bits, convert.

10
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Binary → Hex

Group in 4 bits, convert.

11
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Octal Hex

Use binary as intermediate.

12
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1 Octal digit

3 binary bits

13
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1 Hex digit

4 binary bits

14
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Decimal to others

Divide by base

15
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Others to Decimal

Multiply digits by baseⁿ