24674 octal to binary

Here we will show you how to convert the octal number 24674 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 24674 from octal to binary are explained below.

Step 1)
Multiply the last digit in 24674 by 8⁰, multiply the second to last digit in 24674 by 8¹, multiply the third to last digit in 24674 by 8², multiply the fourth to last digit in 24674 by 8³, and so on, until all the digits are used:

4 × 8⁰ = 4
7 × 8¹ = 56
6 × 8² = 384
4 × 8³ = 2048
2 × 8⁴ = 8192

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

4 + 56 + 384 + 2048 + 8192 = 10684

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.

10684 ÷ 2 = 5342 with 0 remainder
5342 ÷ 2 = 2671 with 0 remainder
2671 ÷ 2 = 1335 with 1 remainder
1335 ÷ 2 = 667 with 1 remainder
667 ÷ 2 = 333 with 1 remainder
333 ÷ 2 = 166 with 1 remainder
166 ÷ 2 = 83 with 0 remainder
83 ÷ 2 = 41 with 1 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 24674 octal to binary:

24674 octal = 10100110111100 binary

Octal to Binary Converter
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24675 octal to binary
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