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Carry Generate (CG) and Carry Propagate (CP) are defined with AND and XOR operators, respectively. Show the algebraic expressions for SUM and CARRY-OUT functions of the 1bit Full Adder in terms of CG, CP, and CARRY-IN.

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Answer:

Pi = Ai ⊕ Bi

Ci = Ai . Bi

Si = Pi ⊕ Ci

Ci +1 = Pi Ci + Gi

Explanation:

The algebraic expressions for SUM and CARRY-OUT functions

Pi = Ai ⊕ Bi

Ci = Ai . Bi

Si = Pi ⊕ Ci

Ci +1 = Pi Ci + Gi

NOTE:

⊕ = EXOR function

Pi = carry propagate

Gi = carry generate

ATTACHED IS THE FREE BODY DIAGRAM

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