Browsing Ph.D. Theses (Mathematics) by Subject "Algebra, Boolean"

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Elements of a fast decimal arithmetic unit

Unger, Izaak Leo (1965-01-14)

A systematic and rigorous derivation of the Boolean functions that represent the three operations of the ring of integers in the 1-2-4-5 code is developed from their corresponding tables. The same is done for numerical c ...
Sums of subsets of certain algebraic systems

Higdem, Roger Leon (1970-08-14)

In this thesis we investigate the extension of certain theorems of additive number theory to three algebraic systems. A generalization of a theorem by Cauchy and Davenport on the cardinality of the sum of two sets of ...