Measurement Category Hub

Number Base (Radix) Converters & Calculators

Convert whole numerical representations between Binary (base 2), Octal (base 8), Decimal (base 10), and Hexadecimal (base 16) with character validation. Use our universal interactive number base (radix) calculator below or select one of our dedicated conversion shortcuts.

Number Base (Radix)

From: Binary (Base 2)

(BIN)

Example: 1100100 BIN

To: Octal (Base 8)

(OCT)

e.g. 144OCT

Standard: Base 8 (1 octal digit = 3 bits)

Enter any number above to convert Binary to Octal. Click (i) for brief unit info.

Popular Number Base (Radix) Conversions

4 dedicated tools

Decimal to Binary Converter

Convert base-10 decimal numbers to base-2 binary representation with bit grouping.

Binary = successive division by 2

Binary to Decimal Converter

Convert base-2 binary bit patterns into decimal integers.

Decimal = ∑ (bit × 2^position)

Decimal to Hexadecimal Converter

Convert base-10 integers to base-16 hex values for programming and color codes.

Hex = successive division by 16

Hexadecimal to Decimal Converter

Convert base-16 hexadecimal codes to decimal numbers.

Decimal = ∑ (hex_digit × 16^position)

Supported Number Base (Radix) Units & Standards

Unit Name	Symbol	Type / System	Relative Value
Binary (Base 2)	BIN	Derived Unit	Defined by function
Octal (Base 8)	OCT	Derived Unit	Defined by function
Decimal (Base 10)Base SI	DEC	SI Standard Unit	Defined by function
Hexadecimal (Base 16)	HEX	Derived Unit	Defined by function

Number Base (Radix) FAQs

In the International System of Units (SI) or standard physical conventions, the base reference unit is Decimal (Base 10). All linear conversions within this category are mathematically derived from this base factor.