# Python | frexp() Function

`frexp()` function is one of the Standard math Library function in Python.

It returns mantissa and exponent as a pair (m, e) of a given value x, where mantissa m is a floating point number and e exponent is an integer value. m is a float and e is an integer such that x == m * 2**e exactly.

If x is zero, returns (0.0, 0), otherwise 0.5 <= abs(m) < 1. This is used to “pick apart” the internal representation of a float in a portable way.

Syntax: math.frexp( x )

Parameters: Any valid number (positive or negative).

Returns: Returns mantissa and exponent as a pair (m, e) value of a given number x.

Exception: If x is not a number, function will return TypeError.

Code #1:

 `# Python3 code demonstrate frexp() function ` ` `  `# importing math library ` `import` `math ` ` `  ` `  `# calculating mantissa and ` `# exponent of given integer ` `print``(math.frexp(``3``)) ` `print``(math.frexp(``15.7``)) ` `print``(math.frexp(``-``15``)) `

Output:

```(0.75, 2)
(0.98125, 4)
(-0.9375, 4)
```

Code #2:

 `# Python3 code demonstrate frexp() function ` ` `  `# importing math library ` `import` `math ` ` `  `# creating a list ` `lst ``=` `[``15``, ``13.76``, ``17.5``, ``21``] ` ` `  `# creating a tuple ` `tpl ``=` `(``-``15.85``, ``-``41.24``, ``-``11.2``, ``54``) ` ` `  `# calculating mantissa and exponent ` `# of 1st, 3rd elements in list  ` `print``(math.frexp(lst[``0``])) ` `print``(math.frexp(lst[``2``])) ` ` `  `# calculating mantissa and exponent ` `# of 2nd, 3rd and 4th elements in tuple  ` `print``(math.frexp(tpl[``1``])) ` `print``(math.frexp(tpl[``2``])) ` `print``(math.frexp(tpl[``3``])) `

Output:

```(0.9375, 4)
(0.546875, 5)
(-0.644375, 6)
(-0.7, 4)
(0.84375, 6)```

Code #3: If the x parameter is not a number, `frexp()` function will return a TypeError.

 `# Python3 code demonstrates when error occurs ` `import` `math ` ` `  `print``(math.frexp(``'25'``))  `

Output:

`TypeError: a float is required`

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