2026-07-13

What is Binary System and How to Convert Text to Binary?

Learn the fundamentals of the binary number system, its role in computer science, how characters map to ASCII, and how to convert text to binary.

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Behind every computer screen, smartphone app, and digital system, everything boils down to just two numbers: 0 and 1. This system, built on these two digits, is known as the Binary Number System. Understanding the difference between the decimal system we use daily and the binary system computers use is like unlocking the core of the digital world.

What is the Binary System?

Binary is a base-2 number system, meaning it only contains two digits: 0 and 1. In computer science, each 0 or 1 is called a bit (binary digit). A sequence of 8 bits is called a Byte.

Billions of microscopic transistors inside computer processors function based on whether electrical current is passing through them or not:

  • 0: No current (Off / False)
  • 1: Current is flowing (On / True)

This simple on-off logic enables us to run complex software, high-definition videos, and modern video games.

How is Text Converted into Binary Code?

Computers cannot perceive letters directly. Therefore, every character is mapped to a numeric value. One of the most popular character encoding standards, ASCII (American Standard Code for Information Interchange), assigns a number to each character.

For example, the capital letter "A" is represented as 65 in the ASCII table. To convert the number 65 into binary, we follow these steps:

  • Divide 65 by 2 repeatedly and write the remainders in reverse order.
  • The binary representation of 65 is: 01000001.

Here are the binary codes for some other common letters:

  • B: 01000010 (ASCII 66)
  • C: 01000011 (ASCII 67)
  • a: 01100001 (ASCII 97 - lowercase letters are different)

Converting Binary Numbers to Decimals

To convert a binary number to a decimal number, you multiply each digit by 2 raised to the power of its position, starting from 0 on the right.

For example, let's convert the binary number 1011:

  • (1 \times 2^3 = 8)
  • (0 \times 2^2 = 0)
  • (1 \times 2^1 = 2)
  • (1 \times 2^0 = 1)
  • Sum: (8 + 0 + 2 + 1 = 11)

Practical Binary Converter Tools

Manually translating text or long paragraphs into ASCII and then into 0s and 1s is extremely time-consuming. By using the Binary Text Converter tool on our website, you can instantly convert any text into binary code or decode binary sequences back into readable text.