Summing two binary vectors

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Neeraj Chimwal
Neeraj Chimwal 2021-3-24
评论： Adam Danz 2021-3-25
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.

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采纳的回答

Fangjun Jiang
Fangjun Jiang 2021-3-24
编辑：Fangjun Jiang 2021-3-24
%%
a = [1 0 1];
b = [1 1 0];
s=dec2bin(bin2dec(num2str(a))+bin2dec(num2str(b)))
out=str2num(s(:))
out =
1
0
1
1

更多回答（1 个）

Adam Danz
Adam Danz 2021-3-24
编辑：Adam Danz 2021-3-24
Ran in:
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
  2 个评论
Neeraj Chimwal
Neeraj Chimwal 2021-3-25
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
Adam Danz 2021-3-25
Ran in:
@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

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