33221 octal to binary

Here we will show you how to convert the octal number 33221 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 33221 from octal to binary are explained below.

Step 1)
Multiply the last digit in 33221 by 8⁰, multiply the second to last digit in 33221 by 8¹, multiply the third to last digit in 33221 by 8², multiply the fourth to last digit in 33221 by 8³, and so on, until all the digits are used:

1 × 8⁰ = 1
2 × 8¹ = 16
2 × 8² = 128
3 × 8³ = 1536
3 × 8⁴ = 12288

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

1 + 16 + 128 + 1536 + 12288 = 13969

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.

13969 ÷ 2 = 6984 with 1 remainder
6984 ÷ 2 = 3492 with 0 remainder
3492 ÷ 2 = 1746 with 0 remainder
1746 ÷ 2 = 873 with 0 remainder
873 ÷ 2 = 436 with 1 remainder
436 ÷ 2 = 218 with 0 remainder
218 ÷ 2 = 109 with 0 remainder
109 ÷ 2 = 54 with 1 remainder
54 ÷ 2 = 27 with 0 remainder
27 ÷ 2 = 13 with 1 remainder
13 ÷ 2 = 6 with 1 remainder
6 ÷ 2 = 3 with 0 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 33221 octal to binary:

33221 octal = 11011010010001 binary

Octal to Binary Converter
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33222 octal to binary
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