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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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