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65 results about "Significand" patented technology

The significand (also mantissa or coefficient, sometimes also argument or fraction) is part of a number in scientific notation or a floating-point number, consisting of its significant digits. Depending on the interpretation of the exponent, the significand may represent an integer or a fraction. The word mantissa seems to have been introduced by Arthur Burks in 1946 writing for the Institute for Advanced Study at Princeton, although this use of the word is discouraged by the IEEE floating-point standard committee as well as some professionals such as the creator of the standard, William Kahan, and also the prominent computer programmer and author of The Art of Computer Programming, Donald E. Knuth.

Apparatus and method for performing floating point addition

An apparatus and method are provided for performing an addition operation on operands A and B in order to produce a result R, the operands A and B and the result R being floating point values each having a significand and an exponent. The apparatus comprises prediction circuitry for generating a shift indication based on a prediction of the number of leading zeros that would be present in an output produced by subjecting the operands A and B to an unlike signed addition. Further, result pre-normalization circuitry performs a shift operation on the significands of both operand A and operand B prior to addition of the significands, this serving to discard a number of most significant bits of the significands of both operands as determined by the shift indication in order to produce modified significands for operands A and B. Operand analysis circuitry detects, with reference to the exponents of operands A and B, the presence of a leading bit cancellation condition, and addition circuitry is configured, in the presence of the leading bit cancellation condition, to perform an addition of the modified significands for operands A and B, in order to produce the significand of the result R. Such an approach provides a particularly simple and efficient apparatus for performing addition operations.
Owner:ARM LTD

Data processing apparatus and method for performing floating point addition

A data processing apparatus and method are provided for adding n-bit significands of first and second floating point operands to produce an n-bit result. The data processing apparatus comprises determination logic operable to determine the larger operand of the first and second operands, and alignment logic operable to align the n-bit significand of the smaller operand with the n-bit significand of the larger operand. First adder logic is then operable to perform a first sum operation in order to generate a first rounded result in non-redundant form equivalent to the addition of the aligned significands with a rounding increment injected at a first predetermined rounding position appropriate for a non-overflow condition, the first adder logic comprising a single level of adder logic. Further, second adder logic is provided to perform a second sum operation in order to generate a second rounded result in non-redundant form equivalent to the addition of the aligned significands with a rounding increment injected at a second predetermined rounding position appropriate for an overflow condition, the second adder logic also comprising a single level of adder logic. Selector logic is then used to derive the n-bit result from either the first rounded result or the second rounded result.
Owner:ARM LTD
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