7211 octal to binary

Here we will show you how to convert the octal number 7211 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 7211 from octal to binary are explained below.

Step 1)
Multiply the last digit in 7211 by 8⁰, multiply the second to last digit in 7211 by 8¹, multiply the third to last digit in 7211 by 8², multiply the fourth to last digit in 7211 by 8³, and so on, until all the digits are used:

1 × 8⁰ = 1
1 × 8¹ = 8
2 × 8² = 128
7 × 8³ = 3584

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

1 + 8 + 128 + 3584 = 3721

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.

3721 ÷ 2 = 1860 with 1 remainder
1860 ÷ 2 = 930 with 0 remainder
930 ÷ 2 = 465 with 0 remainder
465 ÷ 2 = 232 with 1 remainder
232 ÷ 2 = 116 with 0 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 7211 octal to binary:

7211 octal = 111010001001 binary

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

7212 octal to binary
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