IEEE 754 Converter
Convert decimal numbers to IEEE 754 floating point binary representation. View sign, exponent, and mantissa bits.
Breakdown
Actual value:3.140000104904175Hex:
0x4048F5C3
Exponent (8-bit):128 (bias 127) → 2^1Binary Representation
Sign bit (positive)
0
Exponent (8 bits)
10000000
Mantissa / Significand (23 bits)
10010001111010111000011
Full binary:
01000000010010001111010111000011
How IEEE 754 floating point works
IEEE 754 is the standard for floating-point arithmetic. A 32-bit float has 1 sign bit, 8 exponent bits (biased by 127), and 23 mantissa bits. A 64-bit double has 1 sign bit, 11 exponent bits (biased by 1023), and 52 mantissa bits. The value is calculated as:(-1)^sign × 2^(exponent-bias) × 1.mantissa.
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