CAFE hexadecimal to octal

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

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

E × 16⁰ = 14
F × 16¹ = 240
A × 16² = 2560
C × 16³ = 49152

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 + 240 + 2560 + 49152 = 51966

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.

51966 ÷ 8 = 6495 with 6 remainder
6495 ÷ 8 = 811 with 7 remainder
811 ÷ 8 = 101 with 3 remainder
101 ÷ 8 = 12 with 5 remainder
12 ÷ 8 = 1 with 4 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 CAFE hexadecimal to octal:

CAFE hexadecimal = 145376 octal

Hexadecimal to Octal Converter
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CAFF hexadecimal to octal
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