DevGizmo

Binary Converter

Convert a binary (base 2) number to decimal, hexadecimal, octal, and ASCII.

About the Binary Converter

Binary is the base-2 number system, using only the digits 0 and 1. It is the native language of all digital electronics and processors. Every piece of data stored or processed by a computer ultimately exists as a sequence of binary digits — bits — at the hardware level.

Enter any binary number and this tool converts it simultaneously to decimal (base 10), hexadecimal (base 16), octal (base 8), and the corresponding ASCII character if the value falls within the printable ASCII range (32–126).

How Binary to Decimal Works

Each binary digit represents a power of 2, starting from 2⁰ at the rightmost position. The decimal value is found by multiplying each digit by its corresponding power of 2 and summing the results. For example, 1010 = 1×2³ + 0×2² + 1×2¹ + 0×2⁰ = 8 + 0 + 2 + 0 = 10.

Common Uses

  • Reading processor register and memory dump values in embedded debugging
  • Understanding bitwise operations and bitmasks in low-level programming
  • Converting between binary and hexadecimal when working with network protocols
  • Learning computer science number system fundamentals