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数学

Hex Converter

Number Base Converter

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是什么 Hex Converter?

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A hexadecimal converter converts hex numbers to decimal, binary, and octal. Hex is ubiquitous in computing — used for memory addresses, colour codes, and encoding.

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公式

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f(x)Hex to decimal: Σ (digit × 16^position); Decimal to hex: repeatedly divide by 16, collect remainders

变量说明

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符号名称单位描述
HHexadecimal value—0-9, A-F
DDecimal value——
pDigit position (rightmost = 0)——

如何 Hex Converter

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  1. 1Hex to decimal: each digit × 16ⁿ, sum all
  2. 2Hex to binary: each hex digit = 4 bits directly
  3. 3Digits: 0–9 then A=10, B=11, C=12, D=13, E=14, F=15
  4. 40xFF = 255 decimal = 11111111 binary

例题解析

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示例 1
已知:Hex: 2A
结果:Decimal: 42 (2×16+10); Binary: 00101010

实际应用

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🏗️

Web design colour selection

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Programming and debugging

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Network MAC addresses

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Computer memory addressing

Hex Digit Reference

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HexDecimalBinary
A101010
B111011
C121100
D131101
E141110
F151111
FF25511111111

常见问题

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Q

Why use hexadecimal?

A

Base 16 is compact: 1 hex digit = 4 bits. More readable than binary for memory addresses, colour codes.

Q

What are common hex uses?

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Web colours (#FF0000 = red), memory addresses, MAC addresses, Unicode escape sequences.

Q

How do I convert hex F9 to decimal?

A

F=15, 9=9. (15×16¹) + (9×16⁰) = 240 + 9 = 249 decimal.

Mathematically verified
Reviewed October 2026
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