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  Adder

Introduction to Adder

An adder or summer is a digital circuit which carry out addition of numbers in electronics. In new computers adders exist in the arithmetic logic unit (ALU) in which other operations are carried out.

Even though, adders can be constructed for several numerical representations like Binary-coded decimal or excess-3.

HALF ADDER:

In electronics a half adder is a logical circuit which carry out an addition operation on two one-bit binary numbers frequently written like A and B. The output of half adder is a sum of the two inputs generally presented with the signals such as Cout and S in which sum = 2 × Cout + S. The logic table for a half adder is displayed below:

As an instance, a Half Adder can be made with an XOR gate and an AND gate.

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Figure: half adder circuit diagram

  INPUTS                      OUTPUTS

A          B               C                      S

0          0                0                      0

0          1                0                      1

1          0                0                      1

1          1                1                      0

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FULL ADDER:

A full adder can be executed in several different ways like with a custom transistor-level circuit or composed of another gates. One instance implementation is with

S = A⊕B⊕Cin and Cout = (A · B) +(Cin · (A⊕B)).

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Figure: full adder circuit diagram

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