11517 octal to binary

Here we will show you how to convert the octal number 11517 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 11517 from octal to binary are explained below.

Step 1)
Multiply the last digit in 11517 by 8⁰, multiply the second to last digit in 11517 by 8¹, multiply the third to last digit in 11517 by 8², multiply the fourth to last digit in 11517 by 8³, and so on, until all the digits are used:

7 × 8⁰ = 7
1 × 8¹ = 8
5 × 8² = 320
1 × 8³ = 512
1 × 8⁴ = 4096

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

7 + 8 + 320 + 512 + 4096 = 4943

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.

4943 ÷ 2 = 2471 with 1 remainder
2471 ÷ 2 = 1235 with 1 remainder
1235 ÷ 2 = 617 with 1 remainder
617 ÷ 2 = 308 with 1 remainder
308 ÷ 2 = 154 with 0 remainder
154 ÷ 2 = 77 with 0 remainder
77 ÷ 2 = 38 with 1 remainder
38 ÷ 2 = 19 with 0 remainder
19 ÷ 2 = 9 with 1 remainder
9 ÷ 2 = 4 with 1 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 11517 octal to binary:

11517 octal = 1001101001111 binary

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

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