13217 octal to binary

Here we will show you how to convert the octal number 13217 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 13217 from octal to binary are explained below.

Step 1)
Multiply the last digit in 13217 by 8⁰, multiply the second to last digit in 13217 by 8¹, multiply the third to last digit in 13217 by 8², multiply the fourth to last digit in 13217 by 8³, and so on, until all the digits are used:

7 × 8⁰ = 7
1 × 8¹ = 8
2 × 8² = 128
3 × 8³ = 1536
1 × 8⁴ = 4096

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

7 + 8 + 128 + 1536 + 4096 = 5775

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.

5775 ÷ 2 = 2887 with 1 remainder
2887 ÷ 2 = 1443 with 1 remainder
1443 ÷ 2 = 721 with 1 remainder
721 ÷ 2 = 360 with 1 remainder
360 ÷ 2 = 180 with 0 remainder
180 ÷ 2 = 90 with 0 remainder
90 ÷ 2 = 45 with 0 remainder
45 ÷ 2 = 22 with 1 remainder
22 ÷ 2 = 11 with 0 remainder
11 ÷ 2 = 5 with 1 remainder
5 ÷ 2 = 2 with 1 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 13217 octal to binary:

13217 octal = 1011010001111 binary

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

13220 octal to binary
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