Question

Convert (65.125)10 to octal.

Answer 1

Answer:

101.1

Explanation:

Keep in mind that octal has 8 numbers

Step 1: Split your number in 2 parts (integer part and decimal part):

• integer part 65
• decimal part 0.125

Step 2: Convert the decimal part. For this step you need to multiply your decimal part and 8 (8 correspond the octal base) and get the integer part until you need it:

      0.125 * 8 =  1

So your decimal part correspond to number 1 in octal = (1)8

Step 3: Convert integer part: for this step you need to divide your integer part by 8 until you can and get the remainder

      65 / 8 = 8 remainder 1

        8 / 8 = 1 remainder 0

         1 / 8 = 0 remainder 1

Step 4: join the remainders from bottom to top and get the integer part

            101

Step 5: join the integer part and the decimal part to get the octal convertion

              101.1