14525 octal to binary

Here we will show you how to convert the octal number 14525 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 14525 from octal to binary are explained below.

Step 1)
Multiply the last digit in 14525 by 8⁰, multiply the second to last digit in 14525 by 8¹, multiply the third to last digit in 14525 by 8², multiply the fourth to last digit in 14525 by 8³, and so on, until all the digits are used:

5 × 8⁰ = 5
2 × 8¹ = 16
5 × 8² = 320
4 × 8³ = 2048
1 × 8⁴ = 4096

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

5 + 16 + 320 + 2048 + 4096 = 6485

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.

6485 ÷ 2 = 3242 with 1 remainder
3242 ÷ 2 = 1621 with 0 remainder
1621 ÷ 2 = 810 with 1 remainder
810 ÷ 2 = 405 with 0 remainder
405 ÷ 2 = 202 with 1 remainder
202 ÷ 2 = 101 with 0 remainder
101 ÷ 2 = 50 with 1 remainder
50 ÷ 2 = 25 with 0 remainder
25 ÷ 2 = 12 with 1 remainder
12 ÷ 2 = 6 with 0 remainder
6 ÷ 2 = 3 with 0 remainder
3 ÷ 2 = 1 with 1 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 14525 octal to binary:

14525 octal = 1100101010101 binary

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

14526 octal to binary
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