Math

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计算器: Binary & Hex Converter.

使用计算器: Binary & Hex Converter，根据输入获得清晰实用的结果。

On-device calculationNo signup
01

Set your values

Results update as you type.

Whole digits only

0 and 1 only

0–9 and A–F

Results update automatically as you type.

Examples

10₁₀ = 1010₂ = A₁₆ · 255₁₀ = 11111111₂ = FF₁₆

How to Use

Conversions use BigInt, so values larger than JavaScript's safe integer limit remain exact.

This tool accepts unsigned whole numbers only. Fractions and negative values are rejected because their representation depends on a chosen fixed-point or signed encoding.

FAQs

How do you convert decimal to binary?

Divide the number by 2 repeatedly, recording the remainders. The binary number is the remainders read in reverse order.

What is hexadecimal used for?

Hexadecimal (base-16) is commonly used in programming for colors (#FF5733), memory addresses, and compact representation of binary data.

Cite this calculator

Canonical URL: https://mathify.one/zh/math/binary-converter

Cite as: Mathify. (2026). 计算器: Binary & Hex Converter. https://mathify.one/zh/math/binary-converter

Use Cases

Programming and Debugging

Quickly convert between number systems while coding, debugging, or working with low-level data. Helps in understanding memory addresses, bit masks, and color codes.

Example: Convert 255 decimal to binary (11111111) or hex (FF) for a color value.

Computer Science Education

Aid in learning and teaching number systems. Verify manual conversions and grasp the relationship between decimal, binary, and hexadecimal.

Example: Check that 42 decimal equals 101010 binary and 2A hex.

Frequently Asked Questions

How do I convert decimal to binary using this converter?
Enter a decimal number in the input field, and the converter will instantly display its binary equivalent. The conversion is automatic and shows the result in real time.
Can I convert hexadecimal to decimal with this tool?
Yes, simply enter a hexadecimal value (e.g., 1A) in the input field, and the converter will show its decimal and binary equivalents instantly.
Is this converter free to use?
Yes, the Binary & Hex Converter is completely free. You can use it unlimited times for any number of conversions without any restrictions.

Tips & Common Mistakes

Tips

  • For binary input, only use digits 0 and 1. For hexadecimal, use digits 0-9 and letters A-F.
  • When entering negative numbers, the converter may use two's complement representation; check the output format.
  • Use the converter to verify your manual conversions when studying or working on assignments.
  • Remember that hexadecimal is often used as a shorthand for binary, as each hex digit corresponds to four binary bits.

Common Mistakes to Avoid

  • Entering invalid characters like 'G' in hexadecimal or '2' in binary, which will cause an error.
  • Confusing decimal and hexadecimal notation, especially with numbers like '10' which is 10 in decimal but 16 in hex.
  • Assuming the converter handles fractions; it is designed for integer values only.

Last updated: August 13, 2026