IEEE Std 754-2019 pdf download – IEEE Standard for Floating-Point Arithmetic.
basic format: One of five floating-point representations, three binary and two decimal, whose encodings are specified by this standard, and which can be used for arithmetic. One or more of the basic formats is implemented in any conforming implementation. biased exponent: The sum of the exponent and a constant (bias) chosen to make the biased exponent’s range non-negative. binary floating-point number: A floating-point number with radix two. block: A language-defined syntactic unit for which a user can specify attributes. Language standards might provide means for users to specify attributes for blocks of varying scopes, even as large as an entire program and as small as a single operation. canonical encoding: A preferred encoding of a floating-point representation in a format. “C anonical encoding”also applies to declets, significands of finite numbers, infinities, and NaNs, especially in decimal formats. cohort: The set of all floating point representations that represent a given floating -point number in a given floating-point format. In this context -0 and +0 are considered distinct and are in different cohorts. computational operation: An operation that produces floating-point results or that might signal floating- point exceptions. Computational operations produce results in floating-point or other destination formats by rounding them to fit if necessary. correct rounding: This standard’s method of converting an infinitely precise result to a floating point number, as determined by the applicable rounding direction. A floating-point number so obtained is said to be correctly rounded. decimal floating- point number: A floating-point number with radix ten. declet: An encoding of three decimal digits into ten bits using the densely packed decimal encoding scheme. Computational operations accept all 1024 possible declets in operands. Most computational operations produce only the 1000 canonical declets.
external character sequence: A representation of a floating-point datum as a sequence of characters, including the character sequences in floating-point literals in program text. flag: See: status flag. floating-point datum: A floating-point number or non-number (NaN) that is representable in a floating- point format. In this standard, a floating-point datum is not always distin guished from its representation or encoding. floating-point number: A finite or infinite number that is representable in a floating-point format. A floating-point datum that is not a NaN. All floating-point numbers, including zeros and infinities, are signed. floating-point opera tion: An operation where an operand or result is a floating-point datum. floating-point representation: An unencoded member of a floating-point format, representing a finite number, a signed infinity, a quiet NaN, or a signaling NaN. A representation of a finite number has three components: a sign, an exponent, and a significand; its numerical value is the signed product of its significand and its radix raised to the power of its exponent.