[Computer Hardware]

Question:

Following is the circuit diagram of a Full Adder.
Redraw the circuit diagram by adding the missing logic gates.

Figure: Diagram of a full adder

Question

[Computer Hardware]

Question:


Following is the circuit diagram of a Full Adder. 
Redraw the circuit diagram by adding the missing logic gates.

Figure: Diagram of a full adder

Accepted Answer

Answer:


The missing logic gates are:

Figure: Diagram of a full adder answer

(i)  XOR Gate
(ii) AND Gate
(iii) OR Gate
(iv) AND Gate


Explanation:


A Full Adder has:



    Three inputs:
        
A, B, C_in
        
    

    Two outputs:
        
Sum, C_out
        
    


Sum Expression:


Sum = A ⊕ B ⊕ C_in



Therefore, gate (i) must be:



XOR Gate


Carry Output Expression:


C_out = AB + BC_in + AC_in



Carry output is produced using:



    AND gates to generate partial carries
    OR gate to combine them



Hence:



(ii) → AND Gate
(iv) → AND Gate
(iii) → OR Gate


Conclusion:


    (i) → XOR Gate
    (ii) → AND Gate
    (iii) → OR Gate
    (iv) → AND Gate

[Computer Hardware] Question: Following is the circuit diagram of a Full Adder. Redraw the circuit diagram by adding the missing logic gates. Figure: Diagram of a full adder

Answer with Explanation

[Computer Hardware]

Question:

Following is the circuit diagram of a Full Adder. Redraw the circuit diagram by adding the missing logic gates.

Figure: Diagram of a full adder