21311 octal to binary

Here we will show you how to convert the octal number 21311 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 21311 from octal to binary are explained below.

Step 1)
Multiply the last digit in 21311 by 8⁰, multiply the second to last digit in 21311 by 8¹, multiply the third to last digit in 21311 by 8², multiply the fourth to last digit in 21311 by 8³, and so on, until all the digits are used:

1 × 8⁰ = 1
1 × 8¹ = 8
3 × 8² = 192
1 × 8³ = 512
2 × 8⁴ = 8192

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

1 + 8 + 192 + 512 + 8192 = 8905

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.

8905 ÷ 2 = 4452 with 1 remainder
4452 ÷ 2 = 2226 with 0 remainder
2226 ÷ 2 = 1113 with 0 remainder
1113 ÷ 2 = 556 with 1 remainder
556 ÷ 2 = 278 with 0 remainder
278 ÷ 2 = 139 with 0 remainder
139 ÷ 2 = 69 with 1 remainder
69 ÷ 2 = 34 with 1 remainder
34 ÷ 2 = 17 with 0 remainder
17 ÷ 2 = 8 with 1 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 21311 octal to binary:

21311 octal = 10001011001001 binary

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

21312 octal to binary
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