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arXiv · 1506.01544

Carry Value Transformation (CVT) - Exclusive OR (XOR) Tree and Its Significant Properties

Jayanta Kumar Das·Pabitra Pal Choudhury·Sudhakar Sahoo
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Abstract

CVT and XOR are two binary operations together used to calculate the sum of two non-negative integers on using a recursive mechanism. In this present study the convergence behaviors of this recursive mechanism has been captured through a tree like structure named as CVT-XOR Tree. We have analyzed how to identify the parent nodes, leaf nodes and internal nodes in the CVT-XOR Tree. We also provide the parent information, depth information and the number of children of a node in different CVT-XOR Trees on defining three different matrices. Lastly, one observation is made towards very old Mathematical problem of Goldbach Conjecture.

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Jayanta Kumar Das, Pabitra Pal Choudhury, Sudhakar Sahoo. 2015-06-04. Carry Value Transformation (CVT) - Exclusive OR (XOR) Tree and Its Significant Properties. https://arxiv.org/abs/1506.01544

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