Binary Numbers

Representing Binary Numbers

Python supports binary literals by prefixing the number with 0b or 0B.

Python

binary_number = 0b1010  # Represents the decimal number 10

Converting Between Decimal and Binary

·         Decimal to Binary:

o    Use the bin() function:

Python

decimal_number = 42

binary_string = bin(decimal_number)  # Output: '0b101010'

·         Binary to Decimal:

o    Use the int() function with base 2:

Python

binary_string = '0b1010'

decimal_number = int(binary_string, 2)  # Output: 10

Bitwise Operations

Python supports bitwise operations on integers, which are often used in low-level programming and data manipulation.

·         AND (&): Performs bitwise AND operation.

·         OR (|): Performs bitwise OR operation.

·         XOR (^): Performs bitwise XOR operation.

·         NOT (~): Performs bitwise NOT operation.

·         Left shift (<<): Shifts bits to the left.

·         Right shift (>>): Shifts bits to the right.

Python

x = 10  # Binary: 1010

y = 5   # Binary: 0101

result_and = x & y  # Output: 0 (Binary: 0000)

result_or = x | y   # Output: 15 (Binary: 1111)

result_xor = x ^ y  # Output: 15 (Binary: 1111)

result_not = ~x     # Output: -11 (Binary: 10101)

Additional Notes

·         Binary numbers are treated as integers in Python.

·         You can perform arithmetic operations on binary numbers directly.

·         Bitwise operations are often used for efficient data manipulation and masking.

Binary Numbers in Python

Representing Binary Numbers

Python supports binary literals by prefixing the number with 0b or 0B.

Python

binary_number = 0b1010  # Represents the decimal number 10

Use code with caution.

Converting Between Decimal and Binary

·         Decimal to Binary:

o    Use the bin() function:

Python

decimal_number = 42

binary_string = bin(decimal_number)  # Output: '0b101010'

Use code with caution.

·         Binary to Decimal:

o    Use the int() function with base 2:

Python

binary_string = '0b1010'

decimal_number = int(binary_string, 2)  # Output: 10

Use code with caution.

Bitwise Operations

Python supports bitwise operations on integers, which are often used in low-level programming and data manipulation.

·         AND (&): Performs bitwise AND operation.

·         OR (|): Performs bitwise OR operation.

·         XOR (^): Performs bitwise XOR operation.

·         NOT (~): Performs bitwise NOT operation.

·         Left shift (<<): Shifts bits to the left.

·         Right shift (>>): Shifts bits to the right.

Python

x = 10  # Binary: 1010

y = 5   # Binary: 0101

result_and = x & y  # Output: 0 (Binary: 0000)

result_or = x | y   # Output: 15 (Binary: 1111)

result_xor = x ^ y  # Output: 15 (Binary: 1111)

result_not = ~x     # Output: -11 (Binary: 10101)

Additional Notes

·         Binary numbers are treated as integers in Python.

·         You can perform arithmetic operations on binary numbers directly.

·         Bitwise operations are often used for efficient data manipulation and masking.