Question

How do you convert from binary to octal (Base-8)?

1) Divide the binary number into groups of three digits each, starting from the rightmost digit.
2) Convert each group of three binary digits into a single octal digit.
3) If the number of digits in the binary number is not a multiple of three, add leading zeros to make it a multiple of three.
4) Repeat the process for all groups of three digits until the entire binary number is converted to octal.

Answer 1

To convert binary to octal, divide the binary number into groups of three from the right, add leading zeros if necessary, convert each group to its octal equivalent, and combine these for the final octal value.

To convert from binary to octal (Base-8), follow these steps:

1. Divide the binary number into groups of three digits, starting from the right. If the binary number does not have a multiple of three digits, add leading zeros to complete the last group.
2. Convert each three-digit binary group into its equivalent octal digit. Each combination of three binary digits corresponds to an octal digit from 0 to 7.
3. Combine the octal digits to form the final octal number.

For example, converting the binary number 100110101 to octal:

Step 1: Add two leading zeros to make it a multiple of three digits: 001 001 101

Step 2: Convert each group to octal: 001 (binary) = 1 (octal), 001 (binary) = 1 (octal), and 101 (binary) = 5 (octal).

Step 3: The octal number is 115.

Remember that each group of binary digits is evaluated separately, and all digits within the binary number are significant.