Single-precision floating-point format: Difference between revisions

Revision as of 13:32, 8 April 2025

Revision as of 15:12, 8 April 2025

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[[Image:Float example.svg]]

The real value assumed by a given 32-bit ''binary32'' data with a given ''sign'', biased exponent ''eE'' (the 8-bit unsigned integer), and a ''23-bit fraction'' is

: <math>(-1)^{b_{31}} \times 2^{(b_{30}b_{29} \dots b_{23})_2 - 127} \times (1.b_{22}b_{21} \dots b_0)_2</math>,

which yields