E311 hexadecimal to octal

Here we will show you how to convert the hexadecimal number E311 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 E311 from hexadecimal to octal are explained below.

Step 1)
Multiply the last digit in E311 by 16⁰, multiply the second to last digit in E311 by 16¹, multiply the third to last digit in E311 by 16², multiply the fourth to last digit in E311 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
1 × 16¹ = 16
3 × 16² = 768
E × 16³ = 57344

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:

1 + 16 + 768 + 57344 = 58129

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.

58129 ÷ 8 = 7266 with 1 remainder
7266 ÷ 8 = 908 with 2 remainder
908 ÷ 8 = 113 with 4 remainder
113 ÷ 8 = 14 with 1 remainder
14 ÷ 8 = 1 with 6 remainder
1 ÷ 8 = 0 with 1 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 E311 hexadecimal to octal:

E311 hexadecimal = 161421 octal

Hexadecimal to Octal Converter
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E312 hexadecimal to octal
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