24271 octal to binary

Here we will show you how to convert the octal number 24271 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 24271 from octal to binary are explained below.

Step 1)
Multiply the last digit in 24271 by 8⁰, multiply the second to last digit in 24271 by 8¹, multiply the third to last digit in 24271 by 8², multiply the fourth to last digit in 24271 by 8³, and so on, until all the digits are used:

1 × 8⁰ = 1
7 × 8¹ = 56
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:

1 + 56 + 128 + 2048 + 8192 = 10425

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.

10425 ÷ 2 = 5212 with 1 remainder
5212 ÷ 2 = 2606 with 0 remainder
2606 ÷ 2 = 1303 with 0 remainder
1303 ÷ 2 = 651 with 1 remainder
651 ÷ 2 = 325 with 1 remainder
325 ÷ 2 = 162 with 1 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 24271 octal to binary:

24271 octal = 10100010111001 binary

Octal to Binary Converter
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24272 octal to binary
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