Convert binary numbers to decimal and improve your skills!
This interactive binary to decimal converter game is designed to help students, developers, and computer science enthusiasts master the fundamental skill of converting binary numbers to their decimal equivalents. Through hands-on practice with randomly generated problems ranging from 4 to 8 bits, you'll develop intuitive understanding of base-2 number systems.
Whether you're preparing for exams, learning programming, or just curious about how computers represent numbers, this game provides instant feedback with step-by-step explanations to reinforce your learning. Track your progress with real-time accuracy metrics and challenge yourself to achieve 100% accuracy.
Binary is a base-2 number system used by computers, consisting of only two digits: 0 and 1. Unlike the decimal system (base-10) we use daily, each position in a binary number represents a power of 2, not 10.
To convert binary to decimal, multiply each digit by its corresponding power of 2 and sum the results. Reading from right to left, the positions represent 2⁰, 2¹, 2², 2³, and so on.
Each bit (binary digit) acts as an on/off switch. When a bit is 1, you add that position's power of 2 to your total. When it's 0, you skip it. This elegant system is why digital computers can perform complex calculations using simple electronic circuits.