690B hexadecimal to octal

Here we will show you how to convert the hexadecimal number 690B 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 690B from hexadecimal to octal are explained below.

Step 1)
Multiply the last digit in 690B by 16⁰, multiply the second to last digit in 690B by 16¹, multiply the third to last digit in 690B by 16², multiply the fourth to last digit in 690B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
0 × 16¹ = 0
9 × 16² = 2304
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:

11 + 0 + 2304 + 24576 = 26891

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.

26891 ÷ 8 = 3361 with 3 remainder
3361 ÷ 8 = 420 with 1 remainder
420 ÷ 8 = 52 with 4 remainder
52 ÷ 8 = 6 with 4 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 690B hexadecimal to octal:

690B hexadecimal = 64413 octal

Hexadecimal to Octal Converter
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