13624 octal to binary

Here we will show you how to convert the octal number 13624 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 13624 from octal to binary are explained below.

Step 1)
Multiply the last digit in 13624 by 8⁰, multiply the second to last digit in 13624 by 8¹, multiply the third to last digit in 13624 by 8², multiply the fourth to last digit in 13624 by 8³, and so on, until all the digits are used:

4 × 8⁰ = 4
2 × 8¹ = 16
6 × 8² = 384
3 × 8³ = 1536
1 × 8⁴ = 4096

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

4 + 16 + 384 + 1536 + 4096 = 6036

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.

6036 ÷ 2 = 3018 with 0 remainder
3018 ÷ 2 = 1509 with 0 remainder
1509 ÷ 2 = 754 with 1 remainder
754 ÷ 2 = 377 with 0 remainder
377 ÷ 2 = 188 with 1 remainder
188 ÷ 2 = 94 with 0 remainder
94 ÷ 2 = 47 with 0 remainder
47 ÷ 2 = 23 with 1 remainder
23 ÷ 2 = 11 with 1 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 13624 octal to binary:

13624 octal = 1011110010100 binary

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

13625 octal to binary
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