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Digital electronics treats discrete signals, unlike analog electronics which treats continuous signals. Digital logic is used to perform arithmetic operations with electric signals and constitutes the base for building CPUs.

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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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