Security • Published August 20, 2026

How Base64 Encoding Works: The Complete Step-by-Step Mathematical Guide

Understand the mathematical mechanics of Base64 binary-to-text encoding: bitwise operations, 6-bit index tables, 24-bit triple conversions, and padding logic.

Detailed mathematical and bitwise breakdown of Base64 encoding: 8-bit to 6-bit conversion, binary bit shifting, character alphabet mapping, and padding rules.

Frequently Asked Questions

Q1. Why is Base64 called Base-64?

Because the positional numeral system uses a radix of 64, utilizing 64 printable characters from the ASCII standard.