10212 octal to binary

Here we will show you how to convert the octal number 10212 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 10212 from octal to binary are explained below.

Step 1)
Multiply the last digit in 10212 by 8⁰, multiply the second to last digit in 10212 by 8¹, multiply the third to last digit in 10212 by 8², multiply the fourth to last digit in 10212 by 8³, and so on, until all the digits are used:

2 × 8⁰ = 2
1 × 8¹ = 8
2 × 8² = 128
0 × 8³ = 0
1 × 8⁴ = 4096

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

2 + 8 + 128 + 0 + 4096 = 4234

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.

4234 ÷ 2 = 2117 with 0 remainder
2117 ÷ 2 = 1058 with 1 remainder
1058 ÷ 2 = 529 with 0 remainder
529 ÷ 2 = 264 with 1 remainder
264 ÷ 2 = 132 with 0 remainder
132 ÷ 2 = 66 with 0 remainder
66 ÷ 2 = 33 with 0 remainder
33 ÷ 2 = 16 with 1 remainder
16 ÷ 2 = 8 with 0 remainder
8 ÷ 2 = 4 with 0 remainder
4 ÷ 2 = 2 with 0 remainder
2 ÷ 2 = 1 with 0 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 10212 octal to binary:

10212 octal = 1000010001010 binary

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

10213 octal to binary
Go here for the next octal number on our list that we have converted to binary.