What is Binary to Decimal Conversion?
Binary to decimal conversion transforms base-2 numbers (1s and 0s) into the base-10 numbers we use daily. Understanding binary is fundamental to computer science, and this converter makes the translation instant.
Enter any sequence of 0s and 1s, get the decimal equivalent immediately. Perfect for learning, debugging, or quick reference.
Binary Basics
Each position in binary represents a power of 2, doubling as you move left: 1, 2, 4, 8, 16, 32... A 1 means that value is included; 0 means it's not.
The binary number 1101 = 8 + 4 + 0 + 1 = 13. It's a simple system that maps directly to computer hardware.
Common Binary Values
Recognize these patterns:
- 1111 = 15 (4 bits max)
- 11111111 = 255 (8 bits max, one byte)
- 10000000 = 128 (high bit set)
- 1010 = 10 (alternating pattern)
Frequently Asked Questions
How do I convert binary to decimal manually?
Multiply each bit by 2 raised to its position (right to left, starting at 0), then sum. For 1010: 1×2³ + 0×2² + 1×2¹ + 0×2⁰ = 8 + 0 + 2 + 0 = 10.
What is binary?
Binary is a base-2 number system using only 0 and 1. It's the fundamental language of computers since electronic circuits naturally represent two states: on/off, high/low voltage.
How many values can N bits represent?
2^N values. 8 bits (a byte) can represent 256 values (0-255). 16 bits can represent 65,536 values. 32 bits can represent over 4 billion values.