1 research outputs found
Multi-Number CVT-XOR Arithmetic Operations in any Base System and its Significant Properties
Carry Value Transformation (CVT) is a model of discrete dynamical system
which is one special case of Integral Value Transformations (IVTs). Earlier in
[5] it has been proved that sum of two non-negative integers is equal to the
sum of their CVT and XOR values in any base system. In the present study, this
phenomenon is extended to perform CVT and XOR operations for many non-negative
integers in any base system. To achieve that both the definition of CVT and XOR
are modified over the set of multiple integers instead of two. Also some
important properties of these operations have been studied. With the help of
cellular automata the adder circuit designed in [14] on using CVT-XOR
recurrence formula is used to design a parallel adder circuit for multiple
numbers in binary number system.Comment: Pages-4, Tables-4, Figure-