Apparatus and method for computing a logarithm of a...

Details Apparatus and method for computing a logarithm of a... Apparatus and method for computing a logarithm of a...

2005-12-27

2005-12-27

Malzahn, D. H. (Department: 2193)

Electrical computers: arithmetic processing and calculating

Electrical digital calculating computer

Particular function performed

Reexamination Certificate

active

06981009

ABSTRACT:
An apparatus for computing a logarithm to a base p of a floating-point number X. The floating-point number X is represented in the format of (−1)Sx·2Ex·Mx, where Mx=(1+fx)=(1+Ax·2−K)+(Bx·2−N), where Sxis a sign, Exis an exponent, Mxis a mantissa, 1≦Mx<2, fxis a N-bit fraction, Axis a value of the most significant K bits of fx, Bxis a value of the least significant (N−K) bits of fx, 0≦K<N, and p, K, N are natural numbers. The apparatus includes: a first multiplier, a logarithmic table, a first adder, a divider, a Taylor-Series approximation circuit, a second multiplier, and a second adder.

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patent: 6144977 (2000-11-01), Giangarra et al.
patent: 6529922 (2003-03-01), Hoge

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