305C hexadecimal to octal

Here we will show you how to convert the hexadecimal number 305C 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 305C from hexadecimal to octal are explained below.

Step 1)
Multiply the last digit in 305C by 16⁰, multiply the second to last digit in 305C by 16¹, multiply the third to last digit in 305C by 16², multiply the fourth to last digit in 305C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
5 × 16¹ = 80
0 × 16² = 0
3 × 16³ = 12288

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:

12 + 80 + 0 + 12288 = 12380

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.

12380 ÷ 8 = 1547 with 4 remainder
1547 ÷ 8 = 193 with 3 remainder
193 ÷ 8 = 24 with 1 remainder
24 ÷ 8 = 3 with 0 remainder
3 ÷ 8 = 0 with 3 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 305C hexadecimal to octal:

305C hexadecimal = 30134 octal

Hexadecimal to Octal Converter
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305D hexadecimal to octal
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