6B43 hexadecimal to octal

Here we will show you how to convert the hexadecimal number 6B43 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 6B43 from hexadecimal to octal are explained below.

Step 1)
Multiply the last digit in 6B43 by 16⁰, multiply the second to last digit in 6B43 by 16¹, multiply the third to last digit in 6B43 by 16², multiply the fourth to last digit in 6B43 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
4 × 16¹ = 64
B × 16² = 2816
6 × 16³ = 24576

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:

3 + 64 + 2816 + 24576 = 27459

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.

27459 ÷ 8 = 3432 with 3 remainder
3432 ÷ 8 = 429 with 0 remainder
429 ÷ 8 = 53 with 5 remainder
53 ÷ 8 = 6 with 5 remainder
6 ÷ 8 = 0 with 6 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 6B43 hexadecimal to octal:

6B43 hexadecimal = 65503 octal

Hexadecimal to Octal Converter
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6B44 hexadecimal to octal
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