python numeric

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  Python Numeric Types 


Python provides several numeric types to work with numbers. The commonly used numeric types are integers (`int`), floating-point numbers (`float`), and complex numbers (`complex`).


1. Integers (`int`):

- Integers are whole numbers without a fractional component.

- Example:

  ```python

  x = 10

  y = -5

  ```


Right Method:

- You can perform various mathematical operations on integers, such as addition, subtraction, multiplication, and division.

- Example:

  ```python

  a = 5 + 3    # Addition: a = 8

  b = 10 - 4   # Subtraction: b = 6

  c = 2 * 6    # Multiplication: c = 12

  d = 20 / 5   # Division: d = 4.0 (float division)

  e = 20 // 5  # Integer Division: e = 4

  f = 7 % 3    # Modulo (Remainder): f = 1

  ```


Wrong Method:

- Trying to perform operations that result in a type mismatch or undefined behavior is considered incorrect.

- Example:

  ```python

  x = 10 / 3  # Incorrect division, should use float division

  y = 2 + "3" # Incorrect addition, mixing integer and string

  ```


2. Floating-Point Numbers (`float`):

- Floating-point numbers represent decimal values with fractional parts.

- Example:

  ```python

  a = 3.14

  b = -2.5

  ```


Right Method:

- Similar to integers, you can perform mathematical operations on floating-point numbers.

- Example:

  ```python

  c = 2.5 + 1.2    # Addition: c = 3.7

  d = 5.3 - 2.7    # Subtraction: d = 2.6

  e = 2.5 * 3.5    # Multiplication: e = 8.75

  f = 10.0 / 3.0   # Division: f = 3.3333333333333335

  ```


Wrong Method:

- Floating-point arithmetic is subject to precision limitations, which can lead to small errors in certain operations.

- Example:

  ```python

  x = 0.1 + 0.2  # Incorrect addition, result is not exactly 0.3

  ```


3. Complex Numbers (`complex`):

- Complex numbers consist of a real part and an imaginary part.

- Example:

  ```python

  z = 3 + 2j

  w = -1j

  ```


Right Method:

- Complex numbers support arithmetic operations like addition, subtraction, multiplication, and division.

- Example:

  ```python

  u = (2 + 3j) + (1 - 2j)       # Addition: u = (3 + 1j)

  v = (4 + 5j) * (3 - 2j)       # Multiplication: v = (22 + 7j)

  ```


Wrong Method:

- Performing unsupported operations on complex numbers will result in errors.

- Example:

  ```python

  x = (2 + 3j) / 0             # Incorrect division by zero

  y = (3 + 4j) + 5             # Incorrect addition, mixing complex and integer

  ```

Type Conversion in Python 


Type conversion, also known as type casting, is the process of converting one data type to another in Python. Python provides built-in functions to facilitate type conversion.


1. Implicit Type Conversion:

- Implicit type conversion, also called automatic type conversion, occurs automatically when Python converts one data type to another without any explicit instructions from the programmer.

- Implicit type conversion takes place in situations where the target data type can accommodate the values of the source data type without any loss of information.

- Example:

  ```python

  a = 10    # int

  b = 3.14  # float

  c=  5j     #complex 

  d = a + b   # a is implicitly converted to float

  print(d)  # Output: 13.14

  ```


2. Explicit Type Conversion:

- Explicit type conversion, also known as type casting, is done explicitly by the programmer using built-in functions.

- Explicit type conversion is necessary when the target data type cannot directly accommodate the values of the source data type.

- Python provides several built-in functions for explicit type conversion, including `int()`, `float()`, `str()`, `list()`, `tuple()`, and `dict()`, among others.

- Example:

  ```python

  x = 10.5   # float

  

  # Explicitly convert x to an integer

  y = int(x)

  

  print(y)   # Output: 10

  ```


Right Method:

- Use the appropriate type conversion function based on the desired target data type.

- Ensure that the values being converted can be accommodated without loss of information or precision.

- Example:

  ```python

  x = "15"   # string

  

  # Explicitly convert x to an integer

  y = int(x)

  

  print(y)   # Output: 15

  ```


Wrong Method:

- Performing type conversion that results in loss of information or unsupported conversions can lead to incorrect results or errors.

- Example:

  ```python

  x = "Hello"   # string

  

  # Incorrect conversion to integer

  y = int(x)    # Raises ValueError: invalid literal for int() with base 10: 'Hello'

  ```


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