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Convert binary vectors to decimal numbers
d = bi2de(b)
d = bi2de(b,flg)
d = bi2de(b,p)
d = bi2de(b,p,flg)
d = bi2de(b) converts a binary row vector b to a nonnegative decimal integer. If b is a matrix, then each row is interpreted separately as a binary number. In this case, the output d is a column vector, each element of which is the decimal representation of the corresponding row of b.
Note By default, bi2de interprets the first column of b as the lowest-order digit. |
d = bi2de(b,flg) is the same as the syntax above, except that flg is a string that determines whether the first column of b contains the lowest-order or highest-order digits. Possible values for flg are 'right-msb' and 'left-msb'. The value 'right-msb' produces the default behavior.
d = bi2de(b,p) converts a base-p row vector b to a nonnegative decimal integer , where p is an integer greater than or equal to 2. The first column of b is the lowest base-p digit. If b is a matrix, then the output d is a nonnegative decimal vector, each row of which is the decimal form of the corresponding row of b.
d = bi2de(b,p,flg) is the same as the syntax above, except that flg is a string that determines whether the first column of b contains the lowest-order or highest-order digits. Possible values for flg are 'right-msb' and 'left-msb'. The value 'right-msb' produces the default behavior.
The code below generates a matrix that contains binary representations of five random numbers between 0 and 15. It then converts all five numbers to decimal integers.
b = randint(5,4); % Generate a 5-by-4 random binary matrix.
de = bi2de(b);
disp(' Dec Binary')
disp(' ----- -------------------')
disp([de, b])Sample output is below. Your results might vary because the numbers are random.
Dec Binary
----- -------------------
13 1 0 1 1
7 1 1 1 0
15 1 1 1 1
4 0 0 1 0
9 1 0 0 1
The command below converts a base-five number into its decimal counterpart, using the leftmost base-five digit (4 in this case) as the most significant digit. The example reflects the fact that 4(53) + 2(52)+50 = 551.
d = bi2de([4 2 0 1],5,'left-msb')
The output is
d = 551
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