3625 octal to binary

Here we will show you how to convert the octal number 3625 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 3625 from octal to binary are explained below.

Step 1)
Multiply the last digit in 3625 by 8⁰, multiply the second to last digit in 3625 by 8¹, multiply the third to last digit in 3625 by 8², multiply the fourth to last digit in 3625 by 8³, and so on, until all the digits are used:

5 × 8⁰ = 5
2 × 8¹ = 16
6 × 8² = 384
3 × 8³ = 1536

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

5 + 16 + 384 + 1536 = 1941

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.

1941 ÷ 2 = 970 with 1 remainder
970 ÷ 2 = 485 with 0 remainder
485 ÷ 2 = 242 with 1 remainder
242 ÷ 2 = 121 with 0 remainder
121 ÷ 2 = 60 with 1 remainder
60 ÷ 2 = 30 with 0 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 3625 octal to binary:

3625 octal = 11110010101 binary

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

3626 octal to binary
Go here for the next octal number on our list that we have converted to binary.