Convert Binary to Decimal

Convert a binary string (e.g. 1010) to its decimal integer value.

BeginnerTopic: Basic Python Programs
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What You'll Learn

  • Validating input format for binary strings
  • Implementing positional numeral system evaluation
  • Using loops to accumulate a numeric result

Python Convert Binary to Decimal Program

This program helps you to learn the fundamental structure and syntax of Python programming.

Try This Code
# Program to convert binary to decimal without using int(x, 2)

binary_str = input("Enter a binary number: ")

if not all(ch in '01' for ch in binary_str):
    print("Invalid binary number.")
else:
    decimal_value = 0
    for ch in binary_str:
        decimal_value = decimal_value * 2 + int(ch)

    print(f"Decimal value of {binary_str} is {decimal_value}")
Output
Enter a binary number: 1010
Decimal value of 1010 is 10

Step-by-Step Breakdown

  1. 1Read a string representing a binary number.
  2. 2Check that it only contains 0 and 1.
  3. 3Initialize decimal_value to 0.
  4. 4For each character, multiply decimal_value by 2 and add the bit.
  5. 5Print the final decimal value.

Understanding Convert Binary to Decimal

We interpret the binary string from left to right:

Starting from 0:

Multiply current value by 2.
Add the current bit (0 or 1).

This is equivalent to evaluating the positional value of each bit.

Note: To write and run Python programs, you need to set up the local environment on your computer. Refer to the complete article Setting up Python Development Environment. If you do not want to set up the local environment on your computer, you can also use online IDE to write and run your Python programs.

Practical Learning Notes for Convert Binary to Decimal

This Python program is part of the "Basic Python Programs" topic and is designed to help you build real problem-solving confidence, not just memorize syntax. Start by understanding the goal of the program in plain language, then trace the logic line by line with a custom input of your own. Once you can predict the output before running the code, your understanding becomes much stronger.

A reliable practice pattern is to run the original version first, then modify only one condition or variable at a time. Observe how that single change affects control flow and output. This deliberate style helps you understand loops, conditions, and data movement much faster than copying full solutions repeatedly.

For interview preparation, explain this solution in three layers: the high-level approach, the step-by-step execution, and the time-space tradeoff. If you can teach these three layers clearly, you are ready to solve close variations of this problem under time pressure.