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Question Bank (3 marks) · Q7

Q.Write the truth table and draw the timing diagram of a full adder.

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[!TLDR]

Full adder: Sum=A⊕B⊕CinSum=A\oplus B\oplus C_{in}, Cout=AB+BCin+ACinC_{out}=AB+BC_{in}+AC_{in}.

A full adder adds three input bits: the two operand bits AA and BB and a carry-in CinC_{in} from the previous stage. It produces a Sum and a carry-out CoutC_{out}.

Truth table:

ABCᵢₙSumC_out
00000
00110
01010
01101
10010
10101
11001
11111

Boolean expressions: Sum=A⊕B⊕CinSum = A\oplus B\oplus C_{in}; Cout=AB+BCin+ACinC_{out} = AB + BC_{in} + AC_{in}. …

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