24214 octal to binary

Here we will show you how to convert the octal number 24214 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 24214 from octal to binary are explained below.

Step 1)
Multiply the last digit in 24214 by 8⁰, multiply the second to last digit in 24214 by 8¹, multiply the third to last digit in 24214 by 8², multiply the fourth to last digit in 24214 by 8³, and so on, until all the digits are used:

4 × 8⁰ = 4
1 × 8¹ = 8
2 × 8² = 128
4 × 8³ = 2048
2 × 8⁴ = 8192

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

4 + 8 + 128 + 2048 + 8192 = 10380

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.

10380 ÷ 2 = 5190 with 0 remainder
5190 ÷ 2 = 2595 with 0 remainder
2595 ÷ 2 = 1297 with 1 remainder
1297 ÷ 2 = 648 with 1 remainder
648 ÷ 2 = 324 with 0 remainder
324 ÷ 2 = 162 with 0 remainder
162 ÷ 2 = 81 with 0 remainder
81 ÷ 2 = 40 with 1 remainder
40 ÷ 2 = 20 with 0 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 24214 octal to binary:

24214 octal = 10100010001100 binary

Octal to Binary Converter
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24215 octal to binary
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