Initial data commit

Task/Four-bit-adder/MATLAB/four-bit-adder-1.m

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+function [S,v] = fourBitAdder(input1,input2)
+
+    %Make sure that only 4-Bit numbers are being added. This assumes that
+    %if input1 and input2 are a vector of multiple decimal numbers, then
+    %the binary form of these vectors are an n by 4 matrix.
+    assert((size(input1,2) == 4) && (size(input2,2) == 4),'This will only work on 4-Bit Numbers');
+
+    %Converts MATLAB binary strings to matricies of 1 and 0
+    function mat = binStr2Mat(binStr)
+        mat = zeros(size(binStr));
+        for i = (1:numel(binStr))
+            mat(i) = str2double(binStr(i));
+        end
+    end
+
+    %XOR decleration
+    function AxorB = xor(A,B)
+        AxorB = or(and(A,not(B)),and(B,not(A)));
+    end
+
+    %Half-Adder decleration
+    function [S,C] = halfAdder(A,B)
+        S = xor(A,B);
+        C = and(A,B);
+    end
+
+    %Full-Adder decleration
+    function [S,Co] = fullAdder(A,B,Ci)
+       [SAdder1,CAdder1] = halfAdder(Ci,A);
+       [S,CAdder2] = halfAdder(SAdder1,B);
+       Co = or(CAdder1,CAdder2);
+    end
+
+    %The rest of this code is the 4-bit adder
+
+    binStrFlag = false; %A flag to determine if the original input was a binary string
+
+    %If either of the inputs was a binary string, convert it to a matrix of
+    %1's and 0's.
+    if ischar(input1)
+       input1 = binStr2Mat(input1);
+       binStrFlag = true;
+    end
+    if ischar(input2)
+       input2 = binStr2Mat(input2);
+       binStrFlag = true;
+    end
+
+    %This does the addition
+    S = zeros(size(input1));
+
+    [S(:,4),Co] = fullAdder(input1(:,4),input2(:,4),0);
+    [S(:,3),Co] = fullAdder(input1(:,3),input2(:,3),Co);
+    [S(:,2),Co] = fullAdder(input1(:,2),input2(:,2),Co);
+    [S(:,1),v] = fullAdder(input1(:,1),input2(:,1),Co);
+
+    %If the original inputs were binary strings, convert the output of the
+    %4-bit adder to a binary string with the same formatting as the
+    %original binary strings.
+    if binStrFlag
+        S = num2str(S);
+        v = num2str(v);
+    end
+end %fourBitAdder

Task/Four-bit-adder/MATLAB/four-bit-adder-2.m

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+>> [S,V] = fourBitAdder([0 0 0 1],[1 1 1 1])
+
+S =
+
+     0     0     0     0
+
+
+V =
+
+     1
+
+>> [S,V] = fourBitAdder([0 0 0 1;0 0 1 0],[0 0 0 1;0 0 0 1])
+
+S =
+
+     0     0     1     0
+     0     0     1     1
+
+
+V =
+
+     0
+     0
+
+>> [S,V] = fourBitAdder(dec2bin(10,4),dec2bin(1,4))
+
+S =
+
+1  0  1  1
+
+
+V =
+
+0
+
+>> [S,V] = fourBitAdder(dec2bin([10 11],4),dec2bin([1 1],4))
+
+S =
+
+1  0  1  1
+1  1  0  0
+
+
+V =
+
+0
+0
+
+>> bin2dec(S)
+
+ans =
+
+    11
+    12