Decimal - Hexadecimal Converter

How to Convert Between Decimal and Hexadecimal by Hand

Converting between decimal and hexadecimal can be done using specific methods. Here’s a detailed guide:

Step-by-Step Guide

1. To convert from decimal to hexadecimal, repeatedly divide the decimal number by 16 and record the remainders. For example, to convert 72 to hexadecimal:

• 72 ÷ 16 = 4 remainder 8

So, 72 in decimal converts to 48 in hexadecimal.

2. To convert from hexadecimal to decimal, multiply each digit by 16 raised to the power of its position (starting from 0). For example, to convert 48 to decimal:

• 4 × 16¹ + 8 × 16⁰ = 64 + 8 = 72

So, 48 in hexadecimal converts to 72 in decimal.