Binary to Decimal and Hexadecimal Calculator

Input binary:
Decimal:
Hexadecimal:

Binary to Decimal and Hexadecimal Calculator

What is it?

A Binary to Decimal and Hexadecimal Calculator converts a base-2 (binary) number into base-10 (decimal) or base-16 (hexadecimal).

Why use this calculator?

  • Computing & Digital Systems: Binary is the language of computers, while decimal and hex are easier for humans.
  • Memory Addressing: Hex simplifies long binary numbers.
  • Efficient Data Representation: Used in machine code, networking, and color coding.

How does it work?

  • Binary to Decimal:
    1. Multiply each bit by 2n2^n 2 n (where nn n is its position from the right, starting at 0).
    2. Sum the values.
  • Binary to Hexadecimal:
    1. Group binary digits in sets of 4 (from right to left).
    2. Convert each group to a hex digit (0000 = 0, 1010 = A, etc.).

When to use it?

  • Programming & debugging low-level code.
  • Interpreting machine instructions.
  • Networking (IP addresses, MAC addresses, etc.).