1031 octal to binary

Here we will show you how to convert the octal number 1031 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 1031 from octal to binary are explained below.

Step 1)
Multiply the last digit in 1031 by 8⁰, multiply the second to last digit in 1031 by 8¹, multiply the third to last digit in 1031 by 8², multiply the fourth to last digit in 1031 by 8³, and so on, until all the digits are used:

1 × 8⁰ = 1
3 × 8¹ = 24
0 × 8² = 0
1 × 8³ = 512

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

1 + 24 + 0 + 512 = 537

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.

537 ÷ 2 = 268 with 1 remainder
268 ÷ 2 = 134 with 0 remainder
134 ÷ 2 = 67 with 0 remainder
67 ÷ 2 = 33 with 1 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 1031 octal to binary:

1031 octal = 1000011001 binary

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

1032 octal to binary
Go here for the next octal number on our list that we have converted to binary.