Binary and Text Conversion

Let's discover how to convert Binary and Text.

Convert binary ASCII code to text:

Get binary byte
Convert binary byte to decimal
Get character of ASCII code from ASCII table
Continue with next byte

How to Convert Binary to Text?

Get binary byte code
Convert binary byte to decimal
Get character of decimal ASCII code from ASCII table
Continue with next binary byte

How to Use Binary to Text Converter?

Paste binary byte codes in input text box.
Select character encoding type.
Press the Convert button.

How to Convert Binary Code to English?

Get binary byte code
Convert binary byte to decimal
Get English letter of decimal ASCII code from ASCII table
Continue with next binary byte

How to Convert 01000001 Binary to Text?

Use ASCII table:

01000001 = 2⁶ + 2⁰ = 64 + 1 = 65 = 'A' character

How to Convert 00110000 Binary to Text?

Use ASCII table:

00110000 = 2⁵ + 2⁴ = 32 + 16 = 48 = '0' character

Example

Understanding Binary-to-ASCII Conversion

Binary-to-ASCII conversion involves converting binary numbers (base 2) into their corresponding ASCII characters. ASCII (American Standard Code for Information Interchange) is a character encoding standard used to represent text in computers, with each character assigned a unique decimal value ranging from 0 to 127.

The general approach to converting binary numbers to ASCII characters includes:

Ensure the binary number is 8 bits (1 byte) long. If shorter, add leading zeros.
Convert the binary number into its decimal equivalent using binary-to-decimal conversion methods.
Look up the ASCII character that corresponds to the decimal value.

Steps for Binary-to-ASCII Conversion

Step 1: Ensure the binary number is 8 bits long (e.g., 01000001). If necessary, pad with leading zeros.

Step 2: Convert the binary number into its decimal equivalent using the binary-to-decimal process.

Step 3: Use an ASCII table to find the character corresponding to the decimal value.

Example: Converting Binary to ASCII

Convert \( 01000001 \) to an ASCII character:

Step 1: Ensure the binary number is 8 bits: \( 01000001 \) (already 8 bits).
Step 2: Convert \( 01000001 \) to decimal:
- Assign positions: \( 0, 1, 2, 3, 4, 5, 6, 7 \) → \( 0 \, 1 \, 0 \, 0 \, 0 \, 0 \, 0 \, 1 \).
- Calculate:
  - \( 0 \times 2^7 = 0 \)
  - \( 1 \times 2^6 = 64 \)
  - \( 0 \times 2^5 = 0 \)
  - \( 0 \times 2^4 = 0 \)
  - \( 0 \times 2^3 = 0 \)
  - \( 0 \times 2^2 = 0 \)
  - \( 0 \times 2^1 = 0 \)
  - \( 1 \times 2^0 = 1 \)
- Sum: \( 64 + 0 + 0 + 0 + 0 + 0 + 0 + 1 = 65 \).
Step 3: Look up decimal \( 65 \) in the ASCII table: \( 65 = A \).
Final ASCII result: \( A \).

Conversion Table for Quick Reference

Here is a quick reference for some binary numbers and their ASCII equivalents:

00100000 → Space (Decimal 32)
01000001 → A (Decimal 65)
01000010 → B (Decimal 66)
01100001 → a (Decimal 97)
01100010 → b (Decimal 98)
00110001 → 1 (Decimal 49)
00110010 → 2 (Decimal 50)

Applications of Binary-to-ASCII Conversion

Binary-to-ASCII conversion is commonly used in:

Displaying human-readable text from binary data in programming and computing.
Decoding binary files such as text files or communication protocols.
Understanding how characters are stored and processed in digital systems.

Practice Problem

Convert \( 01101000 \) to an ASCII character:

Solution:
- Step 1: Binary number is already 8 bits: \( 01101000 \).
- Step 2: Convert to decimal:
  - \( 0 \times 2^7 = 0 \)
  - \( 1 \times 2^6 = 64 \)
  - \( 1 \times 2^5 = 32 \)
  - \( 0 \times 2^4 = 0 \)
  - \( 1 \times 2^3 = 8 \)
  - \( 0 \times 2^2 = 0 \)
  - \( 0 \times 2^1 = 0 \)
  - \( 0 \times 2^0 = 0 \)
- Sum: \( 64 + 32 + 8 = 104 \).
- Step 3: Look up \( 104 \) in the ASCII table: \( 104 = h \).
Final ASCII result: \( h \).

Binary-to-ASCII Conversion Examples Table
Problem Type	Description	Steps to Solve	Example
Basic Conversion	Converting a binary number to its ASCII character equivalent.	Divide the binary string into 8-bit chunks (1 byte). Convert each 8-bit binary chunk into its decimal value. Find the corresponding ASCII character using an ASCII table.	For \( 01001000 \): Binary: \( 01001000 \). Convert to decimal: \( 72 \). ASCII Character: \( H \).
Handling Multiple Bytes	Converting a binary string representing multiple ASCII characters.	Split the binary string into 8-bit chunks. Convert each chunk to decimal. Map each decimal value to its ASCII character.	For \( 01001000 01100101 01101100 01101100 01101111 \): Split: \( 01001000 \), \( 01100101 \), \( 01101100 \), \( 01101100 \), \( 01101111 \). Convert: \( 72 = H, 101 = e, 108 = l, 108 = l, 111 = o \). Result: \( Hello \).
Handling Invalid Binary	Ensuring the binary string is a multiple of 8 bits and handling incomplete bytes.	Check if the binary string length is a multiple of 8. Add leading zeros to incomplete bytes if necessary. Proceed with the conversion.	For \( 1000011 \): Binary: Add leading zeros: \( 01000011 \). Convert to decimal: \( 67 \). ASCII Character: \( C \).
Verifying Conversion	Checking the accuracy of binary-to-ASCII conversion.	Convert the ASCII characters back to their decimal values. Convert the decimal values back to binary (8 bits each). Ensure the binary string matches the original.	For \( 01000001 \) (converted to \( A \)): ASCII Character: \( A \). Decimal: \( 65 \). Binary: \( 01000001 \). Matches the original binary string.
Applications	Understanding where binary-to-ASCII conversion is used.	Used in text encoding for data storage and communication. Essential for interpreting binary data in file formats and protocols.	Example: Decoding binary data in network packets to readable text.