12525 octal to binary

Here we will show you how to convert the octal number 12525 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 12525 from octal to binary are explained below.

Step 1)
Multiply the last digit in 12525 by 8⁰, multiply the second to last digit in 12525 by 8¹, multiply the third to last digit in 12525 by 8², multiply the fourth to last digit in 12525 by 8³, and so on, until all the digits are used:

5 × 8⁰ = 5
2 × 8¹ = 16
5 × 8² = 320
2 × 8³ = 1024
1 × 8⁴ = 4096

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

5 + 16 + 320 + 1024 + 4096 = 5461

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.

5461 ÷ 2 = 2730 with 1 remainder
2730 ÷ 2 = 1365 with 0 remainder
1365 ÷ 2 = 682 with 1 remainder
682 ÷ 2 = 341 with 0 remainder
341 ÷ 2 = 170 with 1 remainder
170 ÷ 2 = 85 with 0 remainder
85 ÷ 2 = 42 with 1 remainder
42 ÷ 2 = 21 with 0 remainder
21 ÷ 2 = 10 with 1 remainder
10 ÷ 2 = 5 with 0 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 12525 octal to binary:

12525 octal = 1010101010101 binary

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

12526 octal to binary
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