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binary addition of two bits is called a half adder ,and of three bits is called a full adder to be more lucid in my explanation a half adder doesnot consider a carry generated from the previous added pair of binary numbers

consider an example :-

A=a1a2a3a4 + B=b1b2b3b4 = sum=s1s2s3s4

the actual addition procedure is a4 and b4 are added first then the sum is stored in s4 and the generated carry is added with a3 and b3 and the process continues

so addition of a4 and b4 where there is no input carry is carried out by half adder and the addition of c1+a3+b3 is carried out by full adder. but practiclly the first situation a4+b4 can be considered as a4+b4+0 so all the addition can be performed by full adder it self

truth table for both half adder

A B s c

0 0 0 0 0 1 1 0 1 0 1 0

1 1 0 1

for full adder

c1 A B s c

0 0 0 0 0

0 0 1 1 0

0 1 0 1 0

0 1 1 0 1

1 0 0 1 0

1 0 1 0 1

1 1 0 0 1

1 1 1 1 1

where s and c can be viewed as the sum and carry

on solving the k-map for full adder and half adder we can obtain the fuctions of sum and carry

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11y ago
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12y ago

Two half adders are required for making A full adder.!

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10y ago

where is full adder used

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Q: How many half adder to make full adder?
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