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» Fast Integer Multiplication using Modular Arithmetic
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DSD
2003
IEEE
69views Hardware» more  DSD 2003»
14 years 20 days ago
A VLIW Architecture for Logarithmic Arithmetic
The Logarithmic Number System (LNS) is an alternative to IEEE-754 standard floating-point arithmetic. LNS multiply, divide and square root are easier than IEEE-754 and naturally ...
Mark G. Arnold
ARITH
2005
IEEE
14 years 1 months ago
N-Bit Unsigned Division via N-Bit Multiply-Add
Integer division on modern processors is expensive compared to multiplication. Previous algorithms for performing unsigned division by an invariant divisor, via reciprocal approxi...
Arch D. Robison
STOC
1989
ACM
96views Algorithms» more  STOC 1989»
13 years 11 months ago
Optimal Size Integer Division Circuits
Division is a fundamental problem for arithmetic and algebraic computation. This paper describes Boolean circuits of bounded fan-in for integer division  nding reciprocals that...
John H. Reif, Stephen R. Tate
PDPTA
2003
13 years 8 months ago
Quaternary Arithmetic Logic Unit on a Programmable Logic Device
Common binary arithmetic operations such as addition/subtraction and multiplication suffer from O(n) carry propagation delay where n is the number of digits. Carry lookahead helps...
Songpol Ongwattanakul, Phaisit Chewputtanagul, Dav...
CALC
2001
Springer
145views Cryptology» more  CALC 2001»
13 years 12 months ago
Fast Reduction of Ternary Quadratic Forms
We show that a positive definite integral ternary form can be reduced with O(M(s) log2 s) bit operations, where s is the binary encoding length of the form and M(s) is the bit-com...
Friedrich Eisenbrand, Günter Rote