11224 octal to binary

Here we will show you how to convert the octal number 11224 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 11224 from octal to binary are explained below.

Step 1)
Multiply the last digit in 11224 by 8⁰, multiply the second to last digit in 11224 by 8¹, multiply the third to last digit in 11224 by 8², multiply the fourth to last digit in 11224 by 8³, and so on, until all the digits are used:

4 × 8⁰ = 4
2 × 8¹ = 16
2 × 8² = 128
1 × 8³ = 512
1 × 8⁴ = 4096

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

4 + 16 + 128 + 512 + 4096 = 4756

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.

4756 ÷ 2 = 2378 with 0 remainder
2378 ÷ 2 = 1189 with 0 remainder
1189 ÷ 2 = 594 with 1 remainder
594 ÷ 2 = 297 with 0 remainder
297 ÷ 2 = 148 with 1 remainder
148 ÷ 2 = 74 with 0 remainder
74 ÷ 2 = 37 with 0 remainder
37 ÷ 2 = 18 with 1 remainder
18 ÷ 2 = 9 with 0 remainder
9 ÷ 2 = 4 with 1 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 11224 octal to binary:

11224 octal = 1001010010100 binary

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

11225 octal to binary
Go here for the next octal number on our list that we have converted to binary.