7 comparison of integer ring and boolean algebra the

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Unformatted text preview: he C bit-level operations, as will be discussed later. The Boolean operation ˜ corresponds to the logical operation N OT, denoted in propositional logic as . That is, we say that È is true when È is not true, and vice-versa. Correspondingly, ˜Ô equals 1 when Ô equals 0, and vice-versa. Boolean operation & corresponds to the logical operation A ND, denoted in propositional logic as . We say that È É holds when both È and É are true. Correspondingly, Ô & Õ equals 1 only when Ô ½ and Õ ½. Boolean operation | corresponds to the logical operation O R, denoted in propositional logic as . We say that È É holds when either È or É are true. Correspondingly, Ô | Õ equals 1 when either Ô ½ or Õ ½. Boolean operation ˆ corresponds to the logical operation E XCLUSIVE -O R , denoted in propositional logic as ¨. We say that È ¨ É holds when either È or É are true, but not both. 2.1. INFORMATION STORAGE Shared Properties Property Commutativity Associativity Distributivity Identities Annihilator Cancellation Unique to Rings Inverse Unique to Boolean Alg...
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This note was uploaded on 09/02/2010 for the course ELECTRICAL 360 taught by Professor Schultz during the Spring '10 term at BYU.

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