IEEE 754 Float and Double Converter

Convert IEEE 754 values between decimal numbers and raw hex bits for float32 and float64/double. Useful for UART/CAN payload decoding, memory dump analysis, and firmware debugging.

Converter

Input

Enter a value.

Result

Decimal—

Hex (BE)—

Hex (LE)—

Bytes (BE)—

Bytes (LE)—

Sign

—

Exponent

—

Fraction

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IEEE 754 float and double conversion

IEEE 754 stores floating-point values as sign, exponent, and fraction fields. This converter decodes hex to float, encodes float to hex, and shows the byte order used for the raw bit pattern.

Hex to float and float to hex examples

Use these known IEEE 754 values as quick checks when debugging binary payloads or confirming that a float32 or float64 value was encoded with the expected byte order.

Value	IEEE 754 HEX	Type	Meaning
1.0	3F800000	float32	Common normalized value
-1.0	BF800000	float32	Negative normalized value
0.5	3F000000	float32	Fractional value
+Infinity	7F800000	float32	Positive infinity
NaN	7FC00000	float32	Quiet NaN example
1.0	3FF0000000000000	float64	Double precision 1.0

32-bit float vs 64-bit double

A 32-bit float uses 1 sign bit, 8 exponent bits, and 23 fraction bits. A 64-bit double uses 1 sign bit, 11 exponent bits, and 52 fraction bits, which gives it a wider range and more precision.

Endianness notes

Endianness controls how bytes are ordered in memory or on a wire. The mathematical IEEE 754 bit pattern is the same, but the byte sequence can be big-endian or little-endian depending on the protocol or CPU.

NaN, Infinity and subnormal values

IEEE 754 reserves exponent patterns for special values. An all-ones exponent with zero fraction is Infinity, an all-ones exponent with a nonzero fraction is NaN, and an all-zero exponent can represent zero or subnormal values.

FAQ

What is an IEEE 754 converter?

An IEEE 754 converter translates floating-point numbers between decimal values, raw hexadecimal bit patterns, bytes, and sign, exponent, and fraction fields.

How do I convert hex to float?

Choose float32 or float64, paste the hex bits, select the byte order, and read the decoded decimal value and fields.

What is the difference between float32 and float64?

float32 uses 32 bits and float64 uses 64 bits. float64 has more exponent and fraction bits, so it can represent a wider range with more precision.

Why does endianness matter for IEEE 754 values?

Endianness changes the byte order of the same bit pattern. If the byte order is interpreted incorrectly, the decoded floating-point value can be completely different.