24542 octal to binary

Here we will show you how to convert the octal number 24542 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 24542 from octal to binary are explained below.

Step 1)
Multiply the last digit in 24542 by 8⁰, multiply the second to last digit in 24542 by 8¹, multiply the third to last digit in 24542 by 8², multiply the fourth to last digit in 24542 by 8³, and so on, until all the digits are used:

2 × 8⁰ = 2
4 × 8¹ = 32
5 × 8² = 320
4 × 8³ = 2048
2 × 8⁴ = 8192

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

2 + 32 + 320 + 2048 + 8192 = 10594

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.

10594 ÷ 2 = 5297 with 0 remainder
5297 ÷ 2 = 2648 with 1 remainder
2648 ÷ 2 = 1324 with 0 remainder
1324 ÷ 2 = 662 with 0 remainder
662 ÷ 2 = 331 with 0 remainder
331 ÷ 2 = 165 with 1 remainder
165 ÷ 2 = 82 with 1 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 24542 octal to binary:

24542 octal = 10100101100010 binary

Octal to Binary Converter
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24543 octal to binary
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