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Convert (65.125)10 to octal.

1 Answer

2 votes

Answer:

101.1

Step-by-step 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

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