Python Arithmetic Exercise: Convert Decimal to Binary

This guide explains Arithmetic Exercise: Convert Decimal to Binary through a focused example and practical reasoning. No prior knowledge of this specific operation is required.

Understanding the Concept

Binary uses only the digits 0 and 1. Python can display an integer in binary with bin() or a format specification; the value itself remains an ordinary integer.

When You Would Use This

Inspect a permission mask represented as bits.

Step-by-Step Example

permission_value = 13
print(bin(permission_value))
print(format(permission_value, "08b"))
print(int("1101", 2))

How the Example Works

13 appears as 0b1101 with bin(), and as 00001101 with eight-bit formatting. Parsing "1101" in base 2 returns the integer 13.

Example Output

0b1101
00001101
13

Try It Yourself

Convert decimal 42 to binary and back again.

Common Beginner Mistakes

Assuming binary output is a separate number type.
Forgetting the 0b prefix used by bin().
Expecting leading zeros to be preserved by int() conversion.

Key Takeaways

Binary uses only the digits 0 and 1.
13 appears as 0b1101 with bin(), and as 00001101 with eight-bit formatting.
Avoid this mistake: Assuming binary output is a separate number type.