
Here we will show you how to convert the hexadecimal number 690E 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 690E from hexadecimal to octal are explained below.
Step 1)
Multiply the last digit in 690E by 16⁰, multiply the second to last digit in 690E by 16¹, multiply the third to last digit in 690E by 16², multiply the fourth to last digit in 690E by 16³, and so on, until all the digits are used.
E × 16⁰ = 14
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:
14 + 0 + 2304 + 24576 = 26894
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.
26894 ÷ 8 = 3361 with 6 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 690E hexadecimal to octal:
690E hexadecimal = 64416 octal
Hexadecimal to Octal Converter
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690F hexadecimal to octal
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