| Communications Toolbox | |
Convert decimal numbers to binary vectors
Syntax
b = de2bi(d);
b = de2bi(d,n);
b = de2bi(d,n,p);
b = de2bi(d,[],p);
b = de2bi(d,...,flag)
Description
b = de2bi(d)
converts a nonnegative decimal integer d to a binary row vector. If d is a vector, then the output b is a matrix, each row of which is the binary form of the corresponding element in d. If d is a matrix, then de2bi treats it like the vector d(:).
b = de2bi(d,n)
is the same as b = de2bi(d), except that its output has n columns, where n is a positive integer. An error occurs if the binary representations would require more than n digits. If necessary, the binary representation of d is padded with extra zeros.
b = de2bi(d,n,p)
converts a nonnegative decimal integer d to a base-p row vector, where p is an integer greater than or equal to two. The first column of b is the lowest base-p digit. b is padded with extra zeros if necessary, so that it has n columns, where n is a positive integer. An error occurs if the base-p representations would require more than n digits. If d is a nonnegative decimal vector, then the output b is a matrix, each row of which is the (possibly zero-padded) base-p form of the corresponding element in d. If d is a matrix, then de2bi treats it like the vector d(:).
b = de2bi(d,[],p)
specifies the base p but not the number of columns.
b = de2bi(d,..., uses the string flag)
flag to determine whether the first column of b contains the lowest-order or highest-order digits. Values for flag are 'right-msb' and 'left-msb'. The value 'right-msb' produces the default behavior.
Examples
The code below counts to ten in decimal and binary.
d = (1:10)';
b = de2bi(d);
disp(' Dec Binary ')
disp(' ----- -------------------')
disp([d, b])
Dec Binary
----- -------------------
1 1 0 0 0
2 0 1 0 0
3 1 1 0 0
4 0 0 1 0
5 1 0 1 0
6 0 1 1 0
7 1 1 1 0
8 0 0 0 1
9 1 0 0 1
10 0 1 0 1
The command below shows how de2bi pads its output with zeros.
bb = de2bi([3 9],5) % Zero-padding the output
bb =
1 1 0 0 0
1 0 0 1 0
The command below shows how to convert a decimal integer to base three without specifying the number of columns in the output matrix.
t = de2bi(12,[],3) % Convert 12 to base 3.
t =
0 1 1
See Also
bi2de
| | ddemodce | decode | |