
Here we will show you how to convert the octal number 30330 to a binary number. First note that the octal number system has eight different digits (0 1 2 3 4 5 6 7) and the binary number system has only two different digits (0 and 1).
The four steps used to convert 30330 from octal to binary are explained below.
Step 1)
Multiply the last digit in 30330 by 8⁰, multiply the second to last digit in 30330 by 8¹, multiply the third to last digit in 30330 by 8², multiply the fourth to last digit in 30330 by 8³, and so on, until all the digits are used:
0 × 8⁰ = 0
3 × 8¹ = 24
3 × 8² = 192
0 × 8³ = 0
3 × 8⁴ = 12288
Step 2)
Next, we add up all the products we got from Step 1, like this:
0 + 24 + 192 + 0 + 12288 = 12504
Step 3)
Now we divide the sum from Step 2 by 2. Put the remainder aside. Then divide the whole part by 2 again, and put the remainder aside again. Keep doing this until the whole part is 0.
12504 ÷ 2 = 6252 with 0 remainder
6252 ÷ 2 = 3126 with 0 remainder
3126 ÷ 2 = 1563 with 0 remainder
1563 ÷ 2 = 781 with 1 remainder
781 ÷ 2 = 390 with 1 remainder
390 ÷ 2 = 195 with 0 remainder
195 ÷ 2 = 97 with 1 remainder
97 ÷ 2 = 48 with 1 remainder
48 ÷ 2 = 24 with 0 remainder
24 ÷ 2 = 12 with 0 remainder
12 ÷ 2 = 6 with 0 remainder
6 ÷ 2 = 3 with 0 remainder
3 ÷ 2 = 1 with 1 remainder
1 ÷ 2 = 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 30330 octal to binary:
30330 octal = 11000011011000 binary
Octal to Binary Converter
Here you can convert another octal number to binary. Remember, octal numbers only include digits 0 through 7.
30331 octal to binary
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