20520 octal to binary

Here we will show you how to convert the octal number 20520 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 20520 from octal to binary are explained below.

Step 1)
Multiply the last digit in 20520 by 8⁰, multiply the second to last digit in 20520 by 8¹, multiply the third to last digit in 20520 by 8², multiply the fourth to last digit in 20520 by 8³, and so on, until all the digits are used:

0 × 8⁰ = 0
2 × 8¹ = 16
5 × 8² = 320
0 × 8³ = 0
2 × 8⁴ = 8192

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

0 + 16 + 320 + 0 + 8192 = 8528

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.

8528 ÷ 2 = 4264 with 0 remainder
4264 ÷ 2 = 2132 with 0 remainder
2132 ÷ 2 = 1066 with 0 remainder
1066 ÷ 2 = 533 with 0 remainder
533 ÷ 2 = 266 with 1 remainder
266 ÷ 2 = 133 with 0 remainder
133 ÷ 2 = 66 with 1 remainder
66 ÷ 2 = 33 with 0 remainder
33 ÷ 2 = 16 with 1 remainder
16 ÷ 2 = 8 with 0 remainder
8 ÷ 2 = 4 with 0 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 20520 octal to binary:

20520 octal = 10000101010000 binary

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

20521 octal to binary
Go here for the next octal number on our list that we have converted to binary.