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Number Base Converter

Math Calculators

Convert between binary, octal, decimal and hexadecimal

Quick Answer

Number Base Converter: Convert between binary, octal, decimal and hexadecimal. Number Base Converter uses standard math formulas to compute accurate results instantly.

Any base 2–36 → bin/oct/dec/hex. Integers: divide-and-remainder; fractions: multiply-and-carry. Digits 0-9 then A-Z.

Decimal value

255
Binary (2)11111111
Octal (8)377
Decimal (10)255
Hex (16)FF

Conversion steps

  1. 1Decimal input 255; convert integer part by repeated division:
  2. 2To base 2：255 ÷ 2 = 127 R1 → 127 ÷ 2 = 63 R1 → 63 ÷ 2 = 31 R1 → 31 ÷ 2 = 15 R1 …（read remainders bottom-up）
  3. 3To base 16：255 ÷ 16 = 15 RF → 15 ÷ 16 = 0 RF（read remainders bottom-up）

0–15 quick table

DecBinOctHex
0000
1111
21022
31133
410044
510155
611066
711177
81000108
91001119
10101012A
11101113B
12110014C
13110115D
14111016E
15111117F

💡 Hex↔binary is 1 digit = 4 bits (F=1111); octal is 1 digit = 3 bits. Fractions like decimal 0.1 become infinite in binary (0.000110011…), shown to 12 digits.

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How to Use

  1. Enter values or expressions: type directly into the Number Base Converter — keyboard friendly.
  2. Instant results: everything computes live as you type, no button needed.
  3. Follow the steps: the result panel shows full working and formula substitution.
  4. Copy or recompute: one-click copy; change any input to recalculate instantly.

Key Points

  • Number Base Converter is a free online math tool — open and use, no sign-up.
  • All calculations run locally in your browser; your data never leaves the device.
  • Key capability: Convert between binary, octal, decimal and hexadecimal.
  • Results come with formulas and reference tables so you can verify every number.

Formula & How It Works

Number Base Converter formula

Number Base Converter uses standard math formulas to compute accurate results instantly.

FAQ

How do I use the Number Base Converter?
Open the page and fill in the input fields — results update automatically. Convert between binary, octal, decimal and hexadecimal.
Are the results accurate?
Yes. All calculations use standard mathematical formulas and are verified for accuracy.
Is it free? Do I need to sign up?
Completely free. No registration, login or download required — just open and use.
Does it work on mobile?
Yes. The responsive design works on phones, tablets and desktops.
Is my data saved?
No. All calculations run locally in your browser. Nothing is uploaded or stored.

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Source & Updates

Standard mathematical formulas. All logic verified. Last updated: 2025-07

Last updated:

Formulas and content on this page are reviewed by the YiJianSuan team. For reference only — official sources prevail.

Maintained and periodically reviewed by the YiJianSuan editorial team — review process in ourEditorial Policy.

Cite this page: YiJianSuan. Number Base Converter[EB/OL]. https://www.yijiansuan.com/en/c/math/base-convert

Results provided by this tool are for reference only and do not constitute professional advice.