Base Converter & IEEE-754

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Convert numbers across arbitrary radices (bases 2 to 36) and inspect IEEE-754 32-bit float bits.

Base Converter (Bases 2-36)

Presets:

Input Number

From Base (10진수)

To Base (16진수)

16진법 변환 결과 (Base 16 Result)

Standard Bases Overview

Binary (Base 2)

0b11111111

Octal (Base 8)

0o377

Decimal (Base 10)

255

Hex (Base 16)

0xFF

Base 32

Base 36

IEEE-754 Single-Precision (32-bit) Analysis

Sign (1b)

+ (양수)

Exponent (8b)

10000110

134 - 127 = 2^7

Mantissa (23b)

11111110000000000000000

1 + \sum f_i \cdot 2^{-i}

Hex Representation: 0x437F0000Formula: (-1)^S × 1.F × 2^(E-127)

Radix Conversion & IEEE 754 Principles

Radix Representation defines the positional base system for numbers. While humans use base 10, digital electronics operate natively on base 2 (Binary). Hexadecimal (base 16) is widely utilized because each hex digit cleanly maps to exactly 4 bits (a nibble).

IEEE 754 Floating-Point represents real numbers via sign bit (1-bit), biased exponent (8-bit for single precision), and fractional mantissa (23-bit) using the formula (-1)^S × 1.F × 2^(E-127).

How to Use & Features

The Base Converter & IEEE-754 computes output instantly as you type with zero reload. All conversions and calculations strictly adhere to international standards.