24452 octal to binary

Here we will show you how to convert the octal number 24452 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 24452 from octal to binary are explained below.

Step 1)
Multiply the last digit in 24452 by 8⁰, multiply the second to last digit in 24452 by 8¹, multiply the third to last digit in 24452 by 8², multiply the fourth to last digit in 24452 by 8³, and so on, until all the digits are used:

2 × 8⁰ = 2
5 × 8¹ = 40
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 + 40 + 256 + 2048 + 8192 = 10538

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.

10538 ÷ 2 = 5269 with 0 remainder
5269 ÷ 2 = 2634 with 1 remainder
2634 ÷ 2 = 1317 with 0 remainder
1317 ÷ 2 = 658 with 1 remainder
658 ÷ 2 = 329 with 0 remainder
329 ÷ 2 = 164 with 1 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 24452 octal to binary:

24452 octal = 10100100101010 binary

Octal to Binary Converter
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24453 octal to binary
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