Algorithms are described for the basic arithmetic operations and square rooting in a negative base. A new operation called polarization that reverses the sign of a number facilitates subtraction, using addition. Some special features of the negative-base arithmetic are also mentioned
Every simple subtraction problem can formally be stated that for any integers a and b, a – b = a + ...
We consider a positional numeration system with a negative base, as introduced by Ito and Sadahiro. ...
summary:We consider positional numeration system with negative base $-\beta$, as introduced by Ito a...
A divide-and-correct algorithm is described for multiple-precision division in the negative base num...
Described here is a deterministic division algorithm in a negative-base number system; here, the div...
Described here is a deterministic division algorithm in a negative-base number system; here, the div...
Abstract : In this paper we propose a general formula for calculating the digital root of any non-po...
Two different designs for negative binary adder-subtracter are compared. Ono design uses the method ...
I have divided this work in four chapters, according to the most important places of development of ...
There are, algebraically speaking, three fundamental operations in arithmetic: 1) Addition and sub...
The understanding of integers and negative numbers in particular poses certain challenges for many ...
We know that square of a real number is always non-negative e.g. and . Therefore, square root of ...
summary:We consider positional numeration systems with negative real base $-\beta$, where $\beta>1$,...
Multiplication of two numbers represented in base is shown to be computable by an on-line algorith...
This paper describes two sets of algorithms in positive radix arithmetic for conversions between pos...
Every simple subtraction problem can formally be stated that for any integers a and b, a – b = a + ...
We consider a positional numeration system with a negative base, as introduced by Ito and Sadahiro. ...
summary:We consider positional numeration system with negative base $-\beta$, as introduced by Ito a...
A divide-and-correct algorithm is described for multiple-precision division in the negative base num...
Described here is a deterministic division algorithm in a negative-base number system; here, the div...
Described here is a deterministic division algorithm in a negative-base number system; here, the div...
Abstract : In this paper we propose a general formula for calculating the digital root of any non-po...
Two different designs for negative binary adder-subtracter are compared. Ono design uses the method ...
I have divided this work in four chapters, according to the most important places of development of ...
There are, algebraically speaking, three fundamental operations in arithmetic: 1) Addition and sub...
The understanding of integers and negative numbers in particular poses certain challenges for many ...
We know that square of a real number is always non-negative e.g. and . Therefore, square root of ...
summary:We consider positional numeration systems with negative real base $-\beta$, where $\beta>1$,...
Multiplication of two numbers represented in base is shown to be computable by an on-line algorith...
This paper describes two sets of algorithms in positive radix arithmetic for conversions between pos...
Every simple subtraction problem can formally be stated that for any integers a and b, a – b = a + ...
We consider a positional numeration system with a negative base, as introduced by Ito and Sadahiro. ...
summary:We consider positional numeration system with negative base $-\beta$, as introduced by Ito a...
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