How to convert decimal into binary?
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Hello,
I need to convert n-bit decimal into 2^n bit binary number. I do not have much idea. Can anybody help me please?
4 Comments
Accepted Answer
Jan
on 22 Jan 2019
Edited: Jan
on 1 Nov 2021
This code shows '11111111' only, because you overwrite the output in each iteration:
n= 8;
for i = 0:2^n-1
x = dec2bin(i,8);
end
Therefore x contains the last value only: dec2bin(2^n-1, 8).
Better:
x = dec2bin(0:2^n-1, 8);
Or if you really want a loop:
n = 8;
x = repmat(' ', 2^n-1, 8); % Pre-allocate
for i = 0:2^n-1
x(i+1, :) = dec2bin(i,8);
end
x
[EDITED] If you want the numbers 0 and 1 instead of a char matrix with '0' and '1', either subtract '0':
x = dec2bin(0:2^n-1, 8) - '0';
But to avoid the conversion to a char and back again, you can write an easy function also:
function B = Dec2BinNumeric(D, N)
B = rem(floor(D(:) ./ bitshift(1, N-1:-1:0)), 2);
end
% [EDITED] pow2(n) reülaced by faster bitshift(1, n)
PS. You see, the underlying maths is not complicated.
9 Comments
Walter Roberson
on 23 Jan 2019
A one-million bit binary number cannot be converted to a double precision value.
Jan
on 23 Jan 2019
If
dec2bin(0:2^n-1, 8) - '0'
is working, calling
Dec2BinNumeric(0:2^n-1, 8)
is not a serious difference.
More Answers (2)
PRAVEEN GUPTA
on 8 Jul 2019
i have string of number [240 25 32 32]
i want to convert them in binary
how can i do this???
2 Comments
Jan
on 8 Jul 2019
Do no attach a new question as an asnwer of another one.
Did you read this thread? dec2bin has been suggested already, as well as a hand made solution Dec2BinNumeric. Simply use them.
AB WAHEED LONE
on 6 Mar 2021
Edited: AB WAHEED LONE
on 6 Mar 2021
I know it is late but somwhow it may help
bin_array=dec2bin(array,8)-'0';
vandana Ananthagiri
on 5 Feb 2020
function A = binary_numbers(n)
A = double(dec2bin(0:((2^n)-1),n))-48;
end
2 Comments
Walter Roberson
on 5 Feb 2020
Why 48?
I know the answer, but other people reading your code might not, so I would recommend either a comment or a different representation.
vincent voogt
on 1 Nov 2021
Maybe a late reply, but dec2bin return as string of ASCII characters, where 0-9 are mapped on character number 48-57.
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