Hexadecimal to Octal Conversion
When converting from hexadecimal to octal, we need to first convert the hexadecimal number to binary, and then group the binary digits into sets of three starting from the right. Each set of three binary digits can then be converted to its octal equivalent. This conversion process helps us change a number representation in base-16 to base-8.
For example, let's convert the hexadecimal number 3AC to octal. First, we convert 3AC to binary, which is 0011 1010 1100. Grouping the binary digits into sets of three from the right gives us 001 110 101 100. Converting these three-digit binary numbers to octal gives us 1 6 5 4. Therefore, 3AC in hexadecimal is equivalent to 1654 in octal.
Converting from hexadecimal to octal is commonly used in computer science and digital electronics when working with different numbering systems. It allows for easier representation of data and addresses in a more concise form, making it easier to work with and understand in certain contexts.