24140 octal to binary

Here we will show you how to convert the octal number 24140 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 24140 from octal to binary are explained below.

Step 1)
Multiply the last digit in 24140 by 8⁰, multiply the second to last digit in 24140 by 8¹, multiply the third to last digit in 24140 by 8², multiply the fourth to last digit in 24140 by 8³, and so on, until all the digits are used:

0 × 8⁰ = 0
4 × 8¹ = 32
1 × 8² = 64
4 × 8³ = 2048
2 × 8⁴ = 8192

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

0 + 32 + 64 + 2048 + 8192 = 10336

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.

10336 ÷ 2 = 5168 with 0 remainder
5168 ÷ 2 = 2584 with 0 remainder
2584 ÷ 2 = 1292 with 0 remainder
1292 ÷ 2 = 646 with 0 remainder
646 ÷ 2 = 323 with 0 remainder
323 ÷ 2 = 161 with 1 remainder
161 ÷ 2 = 80 with 1 remainder
80 ÷ 2 = 40 with 0 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 24140 octal to binary:

24140 octal = 10100001100000 binary

Octal to Binary Converter
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24141 octal to binary
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