25121 octal to binary

Here we will show you how to convert the octal number 25121 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 25121 from octal to binary are explained below.

Step 1)
Multiply the last digit in 25121 by 8⁰, multiply the second to last digit in 25121 by 8¹, multiply the third to last digit in 25121 by 8², multiply the fourth to last digit in 25121 by 8³, and so on, until all the digits are used:

1 × 8⁰ = 1
2 × 8¹ = 16
1 × 8² = 64
5 × 8³ = 2560
2 × 8⁴ = 8192

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

1 + 16 + 64 + 2560 + 8192 = 10833

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.

10833 ÷ 2 = 5416 with 1 remainder
5416 ÷ 2 = 2708 with 0 remainder
2708 ÷ 2 = 1354 with 0 remainder
1354 ÷ 2 = 677 with 0 remainder
677 ÷ 2 = 338 with 1 remainder
338 ÷ 2 = 169 with 0 remainder
169 ÷ 2 = 84 with 1 remainder
84 ÷ 2 = 42 with 0 remainder
42 ÷ 2 = 21 with 0 remainder
21 ÷ 2 = 10 with 1 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 25121 octal to binary:

25121 octal = 10101001010001 binary

Octal to Binary Converter
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25122 octal to binary
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