1432 hexadecimal to octal

Here we will show you how to convert the hexadecimal number 1432 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 1432 from hexadecimal to octal are explained below.

Step 1)
Multiply the last digit in 1432 by 16⁰, multiply the second to last digit in 1432 by 16¹, multiply the third to last digit in 1432 by 16², multiply the fourth to last digit in 1432 by 16³, and so on, until all the digits are used.

2 × 16⁰ = 2
3 × 16¹ = 48
4 × 16² = 1024
1 × 16³ = 4096

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:

2 + 48 + 1024 + 4096 = 5170

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.

5170 ÷ 8 = 646 with 2 remainder
646 ÷ 8 = 80 with 6 remainder
80 ÷ 8 = 10 with 0 remainder
10 ÷ 8 = 1 with 2 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 1432 hexadecimal to octal:

1432 hexadecimal = 12062 octal

Hexadecimal to Octal Converter
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1433 hexadecimal to octal
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