33422 octal to binary

Here we will show you how to convert the octal number 33422 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 33422 from octal to binary are explained below.

Step 1)
Multiply the last digit in 33422 by 8⁰, multiply the second to last digit in 33422 by 8¹, multiply the third to last digit in 33422 by 8², multiply the fourth to last digit in 33422 by 8³, and so on, until all the digits are used:

2 × 8⁰ = 2
2 × 8¹ = 16
4 × 8² = 256
3 × 8³ = 1536
3 × 8⁴ = 12288

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

2 + 16 + 256 + 1536 + 12288 = 14098

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.

14098 ÷ 2 = 7049 with 0 remainder
7049 ÷ 2 = 3524 with 1 remainder
3524 ÷ 2 = 1762 with 0 remainder
1762 ÷ 2 = 881 with 0 remainder
881 ÷ 2 = 440 with 1 remainder
440 ÷ 2 = 220 with 0 remainder
220 ÷ 2 = 110 with 0 remainder
110 ÷ 2 = 55 with 0 remainder
55 ÷ 2 = 27 with 1 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 33422 octal to binary:

33422 octal = 11011100010010 binary

Octal to Binary Converter
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33423 octal to binary
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