**What is “Binary” in Python?**

**Binary refers to the base-2 number system, which uses only two digits: 0 and 1.**

In Python, we often deal with binary numbers in various ways, such as converting from decimal to binary, binary to decimal, and performing bitwise operations on binary numbers.

**Basic Syntax**

Python provides built-in functions to work with binary numbers:

`bin()`

: This function converts a decimal number to binary.`int()`

: This function can convert a binary number back to decimal.

**Simplest Code Example**

Here’s a simple example of how you can use these functions:

```
# Convert decimal to binary
binary_num = bin(10)
print(binary_num) # Output: 0b1010
# Convert binary to decimal
decimal_num = int(binary_num, 2)
print(decimal_num) # Output: 10
```

**In this code, we first convert the decimal number 10 to binary using the bin() function.**

The result is ‘0b1010’, where ‘0b’ is a prefix that indicates a binary number in Python.

Then we convert this binary number back to decimal using the `int()`

function, specifying 2 as the base.

**Benefit of Binary**

Understanding and working with binary numbers in Python can be beneficial in various ways:

**Bitwise operations**: Binary numbers are essential when performing bitwise operations, which can be faster than arithmetic operations in some cases.**Understanding low-level details**: Knowledge of binary numbers can help you understand the low-level details of how data is stored and manipulated in a computer, which can be useful when dealing with tasks related to data compression, encryption, etc.**Problem-solving**: Certain problems, especially in competitive programming and coding interviews, can be solved more efficiently if you know how to work with binary numbers.

**Difference from Decimal**

**Binary is a base-2 number system, while decimal is a base-10 number system.**

This fundamental difference leads to different ways of representing and manipulating numbers in these systems.

**Major Difference**

**Number of digits**: Binary uses only two digits (0 and 1), while decimal uses ten digits (0 to 9).**Place values**: In binary, each place value represents a power of 2, while in decimal, each place value represents a power of 10.

**Code showing the Difference**

Here’s a simple code snippet that illustrates the difference:

```
# Decimal number
decimal_num = 10
print(decimal_num) # Output: 10
# Binary equivalent
binary_num = bin(decimal_num)
print(binary_num) # Output: 0b1010
```

In this code, the decimal number 10 is represented as ‘1010’ in binary, showing how numbers are represented differently in the two systems.

**Example of Binary**

Let’s look at a more complex example where we perform bitwise operations on binary numbers:

```
# Binary numbers
num1 = 0b1010 # Decimal 10
num2 = 0b1100 # Decimal 12
# Bitwise AND operation
result = num1 & num2
print(bin(result)) # Output: 0b1000
# Bitwise OR operation
result = num1 | num2
print(bin(result)) # Output: 0b1110
# Bitwise XOR operation
result = num1 ^ num2
print(bin(result)) # Output: 0b110
```

In this code:

- We first define two binary numbers using the ‘0b’ prefix.
- We then perform bitwise AND, OR, and XOR operations on these numbers using the
`&`

,`|`

, and`^`

operators, respectively. - The results of these operations are also binary numbers, which we print out using the
`bin()`

function.