837E hexadecimal to octal

Here we will show you how to convert the hexadecimal number 837E 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 837E from hexadecimal to octal are explained below.

Step 1)
Multiply the last digit in 837E by 16⁰, multiply the second to last digit in 837E by 16¹, multiply the third to last digit in 837E by 16², multiply the fourth to last digit in 837E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
7 × 16¹ = 112
3 × 16² = 768
8 × 16³ = 32768

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:

14 + 112 + 768 + 32768 = 33662

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.

33662 ÷ 8 = 4207 with 6 remainder
4207 ÷ 8 = 525 with 7 remainder
525 ÷ 8 = 65 with 5 remainder
65 ÷ 8 = 8 with 1 remainder
8 ÷ 8 = 1 with 0 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 837E hexadecimal to octal:

837E hexadecimal = 101576 octal

Hexadecimal to Octal Converter
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837F hexadecimal to octal
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