All Numbers Converter

Sure, here's an explanation of how to convert numbers between decimal, binary, octal, hexadecimal, text, and ASCII with examples:

1. Decimal: Decimal numbers are the familiar base-10 numbers we use every day. Each digit represents a power of 10.

Example: Convert 25 to binary.

Solution:25 in binary is 11001.

2. Binary: Binary numbers are base-2 numbers, consisting of only 0s and 1s.

Example: Convert 101011 to decimal.

Solution:$1 \times 2^5 + 0 \times 2^4 + 1 \times 2^3 + 0 \times 2^2 + 1 \times 2^1 + 1 \times 2^0 = 32 + 0 + 8 + 0 + 2 + 1 = 43$

3. Octal: Octal numbers are base-8 numbers, consisting of digits from 0 to 7.

Example: Convert 76 to binary.

Solution:76 in octal is 111110.

4. Hexadecimal: Hexadecimal numbers are base-16 numbers, consisting of digits from 0 to 9 and letters A to F representing values from 10 to 15.

Example: Convert F3 to binary.

5. Text: Text is represented using characters from various character encoding schemes like ASCII or Unicode.

Example: Convert "Hello" to binary using ASCII.

Solution:"Hello" in ASCII is 01001000 01100101 01101100 01101100 01101111.

6. ASCII: ASCII (American Standard Code for Information Interchange) is a character encoding standard that assigns numeric values to letters, digits, and symbols.

Example: Convert the ASCII value 65 to binary.

Solution:65 in ASCII is 'A', which in binary is 01000001.

These are the basic processes for converting between these different numbering systems and representations.