5300 hexadecimal to octal

Here we will show you how to convert the hexadecimal number 5300 to an octal number. First note that the hexadecimal number system has sixteen different digits (0 1 2 3 4 5 6 7 8 9 A B C D E F) and the octal number system has only eight different digits (0 1 2 3 4 5 6 7).

The four steps used to convert 5300 from hexadecimal to octal are explained below.

Step 1)
Multiply the last digit in 5300 by 16⁰, multiply the second to last digit in 5300 by 16¹, multiply the third to last digit in 5300 by 16², multiply the fourth to last digit in 5300 by 16³, and so on, until all the digits are used.

0 × 16⁰ = 0
0 × 16¹ = 0
3 × 16² = 768
5 × 16³ = 20480

Remember that the hexadecimal number system has sixteen different digits, so when doing the above calculation, we use the following values if applicable: A=10, B=11, C=12, D=13, E=14, and F=15.

Step 2)
Next, we add up all the products we got from Step 1, like this:

0 + 0 + 768 + 20480 = 21248

Step 3)
Now we divide the sum from Step 2 by 8. Put the remainder aside. Then divide the whole part by 8 again, and put the remainder aside again. Keep doing this until the whole part is 0.

21248 ÷ 8 = 2656 with 0 remainder
2656 ÷ 8 = 332 with 0 remainder
332 ÷ 8 = 41 with 4 remainder
41 ÷ 8 = 5 with 1 remainder
5 ÷ 8 = 0 with 5 remainder

Step 4)
In the final step, we take the remainders from Step 3 and put them together in reverse order to get our answer to 5300 hexadecimal to octal:

5300 hexadecimal = 51400 octal

Hexadecimal to Octal Converter
Here you can convert another hexadecimal number to octal.

5301 hexadecimal to octal
Go here for the next hexadecimal number on our list that we have converted to octal.