Summing two binary vectors

How can I add two binary vector say a= 1 0 1, b= 1 1 0?

Using simply '+' gives decimal output. I want the summation in binary.

Answer 1

[Fangjun Jiang]

%%
a = [1 0 1];
b = [1 1 0];

s=dec2bin(bin2dec(num2str(a))+bin2dec(num2str(b)))
out=str2num(s(:))

out =

1

0

1

1

[Neeraj Chimwal]

That worked. Thanks

Answer 2

[Adam Danz]

y = sumbin(a,b) adds two binary values a and b represented by boolean row vectors (1/0, true/false) and returns the results y as a boolean row vector.

log2dec(v) is a helper function called by sumbin() and converts the boolean vectors to binary strings and then to the decimal representation.

Demo:

a = [1 0 1]; % = 5
b = [1 1 0]; % = 6

log2dec = @(v)bin2dec(num2str(v));
sumbin = @(a,b)dec2bin(sum([log2dec(a), log2dec(b)]))-'0';
sumbin(a,b) % = 11

ans = 1×4

1 0 1 1

If you want to add more than 2 binary numbers in the form of boolean vectors,

y = sumbin(a,b,...,n) receives any number of boolean row vectors (1/0, true/false) and returns the results y as a boolean row vector.

a = [1 0 1]; % = 5
b = [1 1 0]; % = 6
c = [1];     % = 1
d = [1 1 1]; % = 7

log2dec = @(v)bin2dec(num2str(v));
sumbin = @(varargin)dec2bin(sum(cellfun(log2dec, varargin)))-'0';
sumbin(a,b,c,d) % = 19

ans = 1×5

1 0 0 1 1

[Neeraj Chimwal]

Hello Adam. Thanks for answering. Also I want to say sorry coz before I didn't knew the difference between array and vectors (I know that sounds stupid). Your answer is based on vector I think but I wanted to know about array. Sorry I am new to matlab. But anyway, thanks for answering. I got to know something new here

[Adam Danz]

@Neeraj Chimwal just FYI, the first part of my answer and Fangjun Jiang's answer are practically the same, there's very little difference.

The second part of my answer shows how to extend the summation to more than 2 binary vectors.

All vectors are arrays but not all arrays are vectors. A vector is 2D with one dimention equal to 1.

These are vectors

A = [1 0 1];
size(A)

ans = 1×2

1 3

B = [1;0;1];
size(B)

ans = 1×2

3 1

These are arrays that are not vectors

C = rand(2,3);
size(C)

ans = 1×2

2 3

D = rand(2,3,4);
size(D)

ans = 1×3

2 3 4