24725 octal to binary

Here we will show you how to convert the octal number 24725 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 24725 from octal to binary are explained below.

Step 1)
Multiply the last digit in 24725 by 8⁰, multiply the second to last digit in 24725 by 8¹, multiply the third to last digit in 24725 by 8², multiply the fourth to last digit in 24725 by 8³, and so on, until all the digits are used:

5 × 8⁰ = 5
2 × 8¹ = 16
7 × 8² = 448
4 × 8³ = 2048
2 × 8⁴ = 8192

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

5 + 16 + 448 + 2048 + 8192 = 10709

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.

10709 ÷ 2 = 5354 with 1 remainder
5354 ÷ 2 = 2677 with 0 remainder
2677 ÷ 2 = 1338 with 1 remainder
1338 ÷ 2 = 669 with 0 remainder
669 ÷ 2 = 334 with 1 remainder
334 ÷ 2 = 167 with 0 remainder
167 ÷ 2 = 83 with 1 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 24725 octal to binary:

24725 octal = 10100111010101 binary

Octal to Binary Converter
Here you can convert another octal number to binary. Remember, octal numbers only include digits 0 through 7.

24726 octal to binary
Go here for the next octal number on our list that we have converted to binary.