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Base Converter

Convert units with the Base Converter — enter a value and get accurate converted results instantly using verified formulas.

Formula

Converted Value = Input × Conversion Factor

This Base Converter tool applies a unit-specific conversion factor to transform the input into the target unit.

Worked Examples

Example 1: Convert Decimal to Binary

Problem:Convert the decimal number 10 to binary.

Solution:10 ÷ 2 = 5 remainder 0\n5 ÷ 2 = 2 remainder 1\n2 ÷ 2 = 1 remainder 0\n1 ÷ 2 = 0 remainder 1\nRead remainders bottom-up: 1010

Result:1010

Example 2: Convert Hex to Decimal

Problem:Convert Hex 'FF' to Decimal.

Solution:F = 15\n(15 × 16^1) + (15 × 16^0)\n= (15 × 16) + (15 × 1)\n= 240 + 15 = 255

Result:255

Example 3: Convert Binary to Octal

Problem:Convert Binary 110101 to Octal.

Solution:Group bits by 3 from right: 110 101\n110 (binary) = 6 (decimal)\n101 (binary) = 5 (decimal)\nCombine: 65

Result:65

Frequently Asked Questions

Is base 64 a number system?

Yes, Base64 uses 64 unique characters (A-Z, a-z, 0-9, +, /) to encode binary data into text. It is widely used for email attachments and embedding images in web pages.

References