The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms
The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms
Communications of the ACM
Residue arithmetic in computer design
Residue arithmetic in computer design
The logic of computer arithmetic
The logic of computer arithmetic
On Classes of Positive, Negative, and Imaginary Radix Number Systems
IEEE Transactions on Computers
Complex Number Arithmetic with Odd- Valued Logic
IEEE Transactions on Computers
Kronecker products and shuffle algebra
IEEE Transactions on Computers
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The paper studies a general class of signed number representation systems. Among the members of that class, it selects the number representation systems that allow one to build multisummand ripple carry-like adders enjoying simultanesouly the properties of saturation, expandability and symmetry.