Question

Decimal
to octal conversion
459(10)​

Answer 1

Explanation:

First note that decimal number use 10digits (0,1,2,3,4,5,6,7,8&9) andoctal number use only 8 digits (0,1,2,3,4,5,6 and 7)

As we explain the step to converting 459 to octal, it is important to know the name of a division problems. In a problem like A dividend by B equal C,A is dividend,B is the divisor and C is the Quotisn't.

The Quotient has two parts.The whole is Frictional part. Frictional part is also known as the Remaining.

STEP 1)

Divide 459 by 8 to get the Quotient. Keep the whole part to next step and set the reminder aside.

STEP 2)

Divide the whole part of the Quotient from step 1 by 8. Again keep the whole part to next step and set the reminder aside.

STEP 3)

Repeat the step 2 above until the whole

art is 0.

STEP 4)

Write down the reminder in reverse order to get the answer 459 as an octal.

Here I show you my work so you can follow me:

459 / 8 = 57 with 3 reminder

57 / 8 = 7 with 1 reminder

7 / 8 = 0 with 7 reminder

Then, when you put the reminders in reverse order, you get the answer. The decimal number convert into octal is there fore:

713