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Module « numpy.matlib »

Fonction binary_repr - module numpy.matlib

Signature de la fonction binary_repr

def binary_repr(num, width=None) 

Description

help(numpy.matlib.binary_repr)

Return the binary representation of the input number as a string.

For negative numbers, if width is not given, a minus sign is added to the
front. If width is given, the two's complement of the number is
returned, with respect to that width.

In a two's-complement system negative numbers are represented by the two's
complement of the absolute value. This is the most common method of
representing signed integers on computers [1]_. A N-bit two's-complement
system can represent every integer in the range
:math:`-2^{N-1}` to :math:`+2^{N-1}-1`.

Parameters
----------
num : int
    Only an integer decimal number can be used.
width : int, optional
    The length of the returned string if `num` is positive, or the length
    of the two's complement if `num` is negative, provided that `width` is
    at least a sufficient number of bits for `num` to be represented in
    the designated form. If the `width` value is insufficient, an error is
    raised.

Returns
-------
bin : str
    Binary representation of `num` or two's complement of `num`.

See Also
--------
base_repr: Return a string representation of a number in the given base
           system.
bin: Python's built-in binary representation generator of an integer.

Notes
-----
`binary_repr` is equivalent to using `base_repr` with base 2, but about 25x
faster.

References
----------
.. [1] Wikipedia, "Two's complement",
    https://en.wikipedia.org/wiki/Two's_complement

Examples
--------
>>> import numpy as np
>>> np.binary_repr(3)
'11'
>>> np.binary_repr(-3)
'-11'
>>> np.binary_repr(3, width=4)
'0011'

The two's complement is returned when the input number is negative and
width is specified:

>>> np.binary_repr(-3, width=3)
'101'
>>> np.binary_repr(-3, width=5)
'11101'

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