Number Base Converter

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.

Value

Source base

Decimal value

255

Binary (2)11111111

Octal (8)377

Decimal (10)255

Hex (16)FF

Conversion steps

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

0–15 quick table

Dec	Bin	Oct	Hex
0	0	0	0
1	1	1	1
2	10	2	2
3	11	3	3
4	100	4	4
5	101	5	5
6	110	6	6
7	111	7	7
8	1000	10	8
9	1001	11	9
10	1010	12	A
11	1011	13	B
12	1100	14	C
13	1101	15	D
14	1110	16	E
15	1111	17	F

💡 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

Enter values or expressions: type directly into the Number Base Converter — keyboard friendly.
Instant results: everything computes live as you type, no button needed.
Follow the steps: the result panel shows full working and formula substitution.
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.

Related Guides

Source & Updates

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

Last updated: 2026-08-04

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

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.