Adder Circuits (OCR A-Level Computer Science): Flashcards

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Adder Circuits
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Purpose of adder circuits

Perform binary addition

Where adder circuits are commonly found

Arithmetic Logic Units (ALUs)

Two main types of adder circuits

Half adders and full adders

What a half adder adds

Two single-bit binary numbers

Half adder's carry input capability

Cannot handle carry input

Gate used for Sum (SS) in half adder

XOR gate (ABA \oplus B)

Gate used for Carry (CC) in half adder

AND gate (ABA \land B)

Number of inputs in a full adder

Three (two data bits and a carry bit)

Full adder's three inputs

AA, BB, and CinC_{in}

Full adder Sum formula

ABCinA \oplus B \oplus C_{in}

Full adder CoutC_{out} formula

(AB)(BCin)(ACin)(A \land B) \lor (B \land C_{in}) \lor (A \land C_{in})

Full adder suitability

Multi-bit binary addition

Logic gates in full adder for Sum

Two XOR gates

Logic gates in full adder for Carry-out

Two AND gates and one OR gate

Key difference: half adder vs full adder

Half lacks carry-in input, full has it

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