Most Used Converter

Base Converter (Binary, Octal, Decimal, Hex)

Convert a value from one base and instantly see all major outputs with strict format validation and readable grouped binary display.

Converter Input

Results

Binary: -

Octal: -

Decimal: -

Hex: -

How to use

Enter a value like 101101 or 7F.
Select the base of your input value.
Click Convert to get all base outputs.

How base conversion works

A number in any base can be interpreted as weighted powers of that base. Once converted to decimal, the value can be represented in any other base by repeated division and remainder extraction.

Quick examples

11111111 (base-2) → 255 (base-10)
7F (base-16) → 127 (base-10)

FAQ

Why is my hex input rejected?

Hex only accepts 0-9 and A-F. Remove invalid symbols or spaces.

Why is binary grouped?

Grouping by 4 bits improves readability and maps naturally to hexadecimal digits.

Can I include prefixes like 0x or 0b?

No. Enter only raw digits for the selected base.

Concept overview

Why number bases matter

Decimal is natural for people, but computers work in binary. Hex and octal are compact human-friendly views of binary data. Converting between these bases is essential in debugging, embedded systems, digital design, and low-level programming.

This converter validates your input before conversion so incorrect symbols are caught immediately. That reduces silent errors when moving between tools, logs, and code.

Input rules

Binary: digits 0 and 1
Octal: digits 0 to 7
Decimal: digits 0 to 9
Hex: digits 0 to 9 and A to F

Manual example

Convert hex 2F to decimal manually

Hex digits: 2F where F = 15
Place values: 2×16¹ + 15×16⁰
Calculate: 32 + 15 = 47
Result: 2F₁₆ = 47₁₀

After converting to decimal, you can derive binary and octal forms directly. The tool automates this and shows every target base in one result block.

Common errors and fixes

Using invalid symbol for selected base → change base or clean input characters.
Adding spaces between digits → spaces are removed, but internal separators can still confuse input.
Expecting signed interpretation → this tool treats values as unsigned numeric strings.

Extended FAQ

Base converter questions

Is lowercase hex allowed?

Yes. Lowercase letters are accepted and normalized automatically.

Why show all outputs at once?

Seeing all bases together prevents repeated manual toggling and speeds up technical workflows.

Can I convert very large values?

Large integer input is supported within JavaScript numeric conversion limits used by this module.

Why group binary by 4 bits?

Every 4-bit nibble maps to a single hex digit, so grouping improves readability during debugging.

What tool should I use after conversion?

Use Bitwise Calculator for logical operations and signed representation checks.