1. Convert Binary Number to Octal

2. How do you convert the following binary number to octal?

3. Step 1: Divide binary number into groups of 3 digits, then write place values above each digit.
Since the octal number system (base 8) is based on a power
of 2, namely 23 power, the binary number can be broken up into groups of 3 digits each (23). Each group can then be converted into an octal digit independent of the other groups. 4 2 1 23 22 21 20
Notice I padded this group with a zero to give it a size of 3 digits.

4. Step 2: Within each group multiply each digit by its place value then add products together.4 2 1 23 22 21 20 5

5. Step 2: Within each group multiply each digit by its place value then add products together.4 2 1 23 22 21 20 6 5

6. Step 2: Within each group multiply each digit by its place value then add products together.4 2 1 23 22 21 20 2 6 5

7. Step 3: Merge digits together4 2 1 23 22 21 20 2 6 5
Therefore the binary number is equal to 265 in octal.