Hello, I study about full adder and i have a question,
from full adder truth table i understand how we take this equations:
Cout= AB + ACin + BCin = Cin(A+B) + AB
and
Sum = A xor B xor Cin = (A'B + Ab') xor Cin (from xor truth table)
= (A'B + AB')' Cin = Cin'(A'B+AB')
but after this stage i don't understand which boolean laws we use to have:
Sum = ABCin+ Cout'(A+B+Cin)
If anyone could help me?
from full adder truth table i understand how we take this equations:
Cout= AB + ACin + BCin = Cin(A+B) + AB
and
Sum = A xor B xor Cin = (A'B + Ab') xor Cin (from xor truth table)
= (A'B + AB')' Cin = Cin'(A'B+AB')
but after this stage i don't understand which boolean laws we use to have:
Sum = ABCin+ Cout'(A+B+Cin)
If anyone could help me?