What is the octal representation of the binary number 11011011?

The octal representation of the binary number 11011011 is 333.

To convert a binary number to its octal equivalent, we first need to group the binary digits into sets of three, starting from the right. If the number of binary digits is not a multiple of three, we add zeros to the left to complete the group. For the binary number 11011011, we can group it as 011 011 011.

Next, we convert each group of three binary digits into its equivalent octal digit. The binary number 011 corresponds to the octal digit 3. Therefore, the octal representation of the binary number 11011011 is 333.

This conversion is straightforward because octal and binary are both base-2 systems. Each octal digit corresponds to exactly three binary digits, which makes the conversion process simple and direct. This is one of the reasons why octal was widely used in early computer systems. Today, however, hexadecimal (base-16) is more commonly used because it corresponds more closely to the byte, which is the basic unit of information in modern computer systems.