635 octal to binary

Here we will show you how to convert the octal number 635 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 635 from octal to binary are explained below.

Step 1)
Multiply the last digit in 635 by 8⁰, multiply the second to last digit in 635 by 8¹, multiply the third to last digit in 635 by 8², multiply the fourth to last digit in 635 by 8³, and so on, until all the digits are used:

5 × 8⁰ = 5
3 × 8¹ = 24
6 × 8² = 384

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

5 + 24 + 384 = 413

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.

413 ÷ 2 = 206 with 1 remainder
206 ÷ 2 = 103 with 0 remainder
103 ÷ 2 = 51 with 1 remainder
51 ÷ 2 = 25 with 1 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 635 octal to binary:

635 octal = 110011101 binary

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

636 octal to binary
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