30427 octal to binary

Here we will show you how to convert the octal number 30427 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 30427 from octal to binary are explained below.

Step 1)
Multiply the last digit in 30427 by 8⁰, multiply the second to last digit in 30427 by 8¹, multiply the third to last digit in 30427 by 8², multiply the fourth to last digit in 30427 by 8³, and so on, until all the digits are used:

7 × 8⁰ = 7
2 × 8¹ = 16
4 × 8² = 256
0 × 8³ = 0
3 × 8⁴ = 12288

Step 2)
Next, we add up all the products we got from Step 1, like this:

7 + 16 + 256 + 0 + 12288 = 12567

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.

12567 ÷ 2 = 6283 with 1 remainder
6283 ÷ 2 = 3141 with 1 remainder
3141 ÷ 2 = 1570 with 1 remainder
1570 ÷ 2 = 785 with 0 remainder
785 ÷ 2 = 392 with 1 remainder
392 ÷ 2 = 196 with 0 remainder
196 ÷ 2 = 98 with 0 remainder
98 ÷ 2 = 49 with 0 remainder
49 ÷ 2 = 24 with 1 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 30427 octal to binary:

30427 octal = 11000100010111 binary

Octal to Binary Converter
Here you can convert another octal number to binary. Remember, octal numbers only include digits 0 through 7.

30430 octal to binary
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