Hex to Decimal Converter

Convert any Hex number to Decimal Number Calculator

User Guide

  1. Input Section
    1. Enter the hexadecimal number in the text area labeled "Hexadecimal Numbers".
    2. Use the "Clear" button beneath the input field to erase your entry if needed.
  2. Output Section
    1. The decimal equivalent will appear in the output area.
    2. Use the "Copy" button below the output area to copy the result to your clipboard.

The hexadecimal system (base-16) uses digits 0–9 and letters A–F to represent values. The decimal system (base-10) uses digits 0–9 and is the standard system for numerical representation. Converting hexadecimal to decimal involves using the positional value of each hexadecimal digit and its corresponding base-10 value.

Conversion Method

Steps to Convert

  1. Write down the hexadecimal number and assign positional values starting from 0 on the right (least significant digit).
  2. Convert each hexadecimal digit to its decimal value (A = 10, B = 11, C = 12, D= 13, E = 14, F = 15).
  3. Multiply each value by 16position.
  4. Add all the results to obtain the decimal equivalent.

Example

Convert 2F316​ (hexadecimal) to decimal:

Assign positions:

2 × 162
F×161
3×160

Compute:

2 × 162 = 2 × 256 = 512
15 × 161 = 15 × 16 = 240
3 × 160 = 3 × 1 = 3

Add: 512 + 240 + 3 = 755

Result: 2F316 = 75510

Prof. Waino Pagac
Prof. Waino Pagac
Ph.D. MIT

Professor Waino Pagac, an esteemed expert in computer science and mathematics, and the brilliant mind behind this comprehensive guide on number systems. With a wealth of knowledge and years of experience in academia and research.