5 octal to binary

Here we will show you how to convert the octal number 5 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 5 from octal to binary are explained below.

Step 1)
Multiply the last digit in 5 by 8⁰, multiply the second to last digit in 5 by 8¹, multiply the third to last digit in 5 by 8², multiply the fourth to last digit in 5 by 8³, and so on, until all the digits are used:

5 × 8⁰ = 5

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

5

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.

5 ÷ 2 = 2 with 1 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 5 octal to binary:

5 octal = 101 binary

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

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