7521 octal to binary

Here we will show you how to convert the octal number 7521 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 7521 from octal to binary are explained below.

Step 1)
Multiply the last digit in 7521 by 8⁰, multiply the second to last digit in 7521 by 8¹, multiply the third to last digit in 7521 by 8², multiply the fourth to last digit in 7521 by 8³, and so on, until all the digits are used:

1 × 8⁰ = 1
2 × 8¹ = 16
5 × 8² = 320
7 × 8³ = 3584

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

1 + 16 + 320 + 3584 = 3921

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.

3921 ÷ 2 = 1960 with 1 remainder
1960 ÷ 2 = 980 with 0 remainder
980 ÷ 2 = 490 with 0 remainder
490 ÷ 2 = 245 with 0 remainder
245 ÷ 2 = 122 with 1 remainder
122 ÷ 2 = 61 with 0 remainder
61 ÷ 2 = 30 with 1 remainder
30 ÷ 2 = 15 with 0 remainder
15 ÷ 2 = 7 with 1 remainder
7 ÷ 2 = 3 with 1 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 7521 octal to binary:

7521 octal = 111101010001 binary

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

7522 octal to binary
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