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s-sum and c'-carry

see for half adder s=a(xor)b and c'=ab

for full adder s=a(xor)b(xor)c and c=ab+bc+ac or ab+c(a(xor)b)

we can convert two half adder to full adder with help of and or gate. . . !

we got two half adder

* for first half adder input is a and b

therefore. . .s=a(xor)b and c'=ab

* for second half adder input is a(xor)b and c

therefore. . .s=a(xor)b(xor)c and c' is (a(xor)b)c

note: now connect the c' of first half adder and second half adder to 'or' gate resulting is

ab+c(a(xor)b)

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13y ago
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14y ago

You can not make 1 full adder with 2 half adders.

A half adder takes two inputs, A and B, and generates two outputs, R (result) and C (carry).

A full adder takes three inputs, A, B, and CIN, and generates two outputs, R and COUT.

You could connect the two half adders in series, generating R, but you would still have two COUT's, and you need more logic to combine them into one COUT.

That additional logic could be an or gate, but the original answer remains that you cannot make 1 full adder using 2 half adders.

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12y ago

Its in Pg 146 in Digital Design Author: Morris Mano-4th Edition.

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Q: How to draw the logic circuit for full adder using half adder?
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