Write a MATLAB function the performs the operation of a half-adder, call it half

Question

Write a MATLAB function the performs the operation of a half-adder, call it half_add. The function should have two inputs, a and b, and return two outputs, X and c. Then, write another function, call it full_add, that invokes half_add to perform the operation of a full adder. The function full_add should have three inputs, a, b and c_in, and return two outputs, s and c_out. Finally, write a program that uses the function full_add to find and display s and c_out for each possible combination of a, b, and c_in.

Explanation / Answer

function[a,b] = half_adder[ a,b]

x = Xor(a,b);

   c = a&b;

Function[ S,Cout] = Full_adder[ a,b,cin]

          [X,C] = half_adder[a,b];

   Sum =Xor( Cin, Xor(X,C));

    Cout = X&C | C&Cin | C&Cin;

a =1 , b =1 , Cin =1

[S,C] =Full_adder[ 1,1,1]

a =0 , b =0 , Cin =1

[S,C] =Full_adder[ 0,0,1]

a =1 , b =1 , Cin =0

[S,C] =Full_adder[ 1,1,0]

a =1, b =0 , Cin =1

[S,C] =Full_adder[ 1,0,1]

a =0 , b =1 , Cin =1

[S,C] =Full_adder[ 0,1,1]

a =0 , b =0 , Cin =0

[S,C] =Full_adder[ 0,0,0]

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