24422 octal to binary

Here we will show you how to convert the octal number 24422 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 24422 from octal to binary are explained below.

Step 1)
Multiply the last digit in 24422 by 8⁰, multiply the second to last digit in 24422 by 8¹, multiply the third to last digit in 24422 by 8², multiply the fourth to last digit in 24422 by 8³, and so on, until all the digits are used:

2 × 8⁰ = 2
2 × 8¹ = 16
4 × 8² = 256
4 × 8³ = 2048
2 × 8⁴ = 8192

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

2 + 16 + 256 + 2048 + 8192 = 10514

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.

10514 ÷ 2 = 5257 with 0 remainder
5257 ÷ 2 = 2628 with 1 remainder
2628 ÷ 2 = 1314 with 0 remainder
1314 ÷ 2 = 657 with 0 remainder
657 ÷ 2 = 328 with 1 remainder
328 ÷ 2 = 164 with 0 remainder
164 ÷ 2 = 82 with 0 remainder
82 ÷ 2 = 41 with 0 remainder
41 ÷ 2 = 20 with 1 remainder
20 ÷ 2 = 10 with 0 remainder
10 ÷ 2 = 5 with 0 remainder
5 ÷ 2 = 2 with 1 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 24422 octal to binary:

24422 octal = 10100100010010 binary

Octal to Binary Converter
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24423 octal to binary
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