Multiplication is the easiest nontrivial arithmetic function
نویسندگان
چکیده
منابع مشابه
Montgomery Modular Multiplication in Residue Arithmetic
We present a new RNS modular multiplication for very large operands. The algorithm is based on Montgomery's method adapted to residue arithmetic. By choosing the moduli of the RNS system reasonably large, an eeect corresponding to a redundant high-radix implementation is achieved, due to the carry-free nature of residue arithmetic. The actual computation in the multiplication takes place in con...
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For almost 35 years, Schönhage-Strassen’s algorithm has been the fastest algorithm known for multiplying integers, with a time complexity O(n · log n · log log n) for multiplying n-bit inputs. In 2007, Fürer proved that there exists K > 1 and an algorithm performing this operation in O(n · log n · Klog∗ ). Recent work showed that this complexity estimate can be made more precise with K = 8, and...
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Arithmetic coding is a well-known technique for lossless coding or data compression. It is based on splitting a current interval into sub-intervals, each sub-interval corresponding to a possible symbol to be encoded and the size of each sub-interval corresponding to the probability of the associated symbol. This involves multiplying the current interval size A by one or more probabilities, whic...
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Mental arithmetic exhibits various biases. Among those is a tendency to overestimate addition and to underestimate subtraction outcomes. Does such "operational momentum" (OM) also affect multiplication and division? Twenty-six adults produced lines whose lengths corresponded to the correct outcomes of multiplication and division problems shown in symbolic format. We found a reliable tendency to...
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ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 1985
ISSN: 0304-3975
DOI: 10.1016/0304-3975(85)90051-9