convert the decimal no. (3942. 32) to into its equivalent octal
Answers
Answer:
7456
Explanation:
Step 1) Divide 3942 by 8 to get the Quotient. Keep the Whole part for the next step and set the Remainder aside.
Step 2) Divide the Whole part of the Quotient from step 1 by 8. Again keep the Whole part and set the Remainder aside.
Step 3) Repeat Step 2 above until the Whole part is 0.
Menu
Decimal
How to convert 3942 to octal
Decimal to Octal
Here we will show you step-by-step how convert the decimal number 3942 to octal.
First note that decimal numbers use 10 digits (0, 1, 2, 3, 4, 5, 6, 7, 8, and 9) and octal numbers use only 8 digits (0, 1, 2, 3, 4, 5, 6, and 7).
As we explain the steps to converting 3942 to octal, it is important to know the name of the parts of a division problem. In a problem like A divided by B equals C, A is the dividend, B is the divisor and C is the Quotient.
The Quotient has two parts. The Whole part and the Fractional part. The Fractional part is also known as the Remainder.
Step 1) Divide 3942 by 8 to get the Quotient. Keep the Whole part for the next step and set the Remainder aside.
Step 2) Divide the Whole part of the Quotient from step 1 by 8. Again keep the Whole part and set the Remainder aside.
Step 3) Repeat Step 2 above until the Whole part is 0.
Step 4) Write down the Remainders in reverse order to get the answer to 3942 as an octal.
Here we will show our work so you can follow along:
3942 / 8 = 492 with 6 remainder
492 / 8 = 61 with 4 remainder
61 / 8 = 7 with 5 remainder
7 / 8 = 0 with 7 remainder
Then, when we put the remainders together in reverse order, we get the answer. The decimal number 3942 converted to octal is therefore:
7546