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In mathematics and mathematical logic, boolean algebra is the branch of algebra in which the values of the variables are the truth values true and false, usually denoted 1 and 0 respectively. Boolean algebra is used in the analysis and simplification of digital (logic) circuits

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Formulas for Carry out in a Full Adder

Boolean Algebra Approach The equivalence of the two forms may be proven using boolean identities Start off with the second expression $$C_{out} = A B + (A \oplus B)C_{in}$$ Using the expansion, $$ …
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