7221 octal to binary

Here we will show you how to convert the octal number 7221 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 7221 from octal to binary are explained below.

Step 1)
Multiply the last digit in 7221 by 8⁰, multiply the second to last digit in 7221 by 8¹, multiply the third to last digit in 7221 by 8², multiply the fourth to last digit in 7221 by 8³, and so on, until all the digits are used:

1 × 8⁰ = 1
2 × 8¹ = 16
2 × 8² = 128
7 × 8³ = 3584

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

1 + 16 + 128 + 3584 = 3729

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.

3729 ÷ 2 = 1864 with 1 remainder
1864 ÷ 2 = 932 with 0 remainder
932 ÷ 2 = 466 with 0 remainder
466 ÷ 2 = 233 with 0 remainder
233 ÷ 2 = 116 with 1 remainder
116 ÷ 2 = 58 with 0 remainder
58 ÷ 2 = 29 with 0 remainder
29 ÷ 2 = 14 with 1 remainder
14 ÷ 2 = 7 with 0 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 7221 octal to binary:

7221 octal = 111010010001 binary

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

7222 octal to binary
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