11564 octal to binary

Here we will show you how to convert the octal number 11564 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 11564 from octal to binary are explained below.

Step 1)
Multiply the last digit in 11564 by 8⁰, multiply the second to last digit in 11564 by 8¹, multiply the third to last digit in 11564 by 8², multiply the fourth to last digit in 11564 by 8³, and so on, until all the digits are used:

4 × 8⁰ = 4
6 × 8¹ = 48
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:

4 + 48 + 320 + 512 + 4096 = 4980

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.

4980 ÷ 2 = 2490 with 0 remainder
2490 ÷ 2 = 1245 with 0 remainder
1245 ÷ 2 = 622 with 1 remainder
622 ÷ 2 = 311 with 0 remainder
311 ÷ 2 = 155 with 1 remainder
155 ÷ 2 = 77 with 1 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 11564 octal to binary:

11564 octal = 1001101110100 binary

Octal to Binary Converter
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11565 octal to binary
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