25001 octal to binary

Here we will show you how to convert the octal number 25001 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 25001 from octal to binary are explained below.

Step 1)
Multiply the last digit in 25001 by 8⁰, multiply the second to last digit in 25001 by 8¹, multiply the third to last digit in 25001 by 8², multiply the fourth to last digit in 25001 by 8³, and so on, until all the digits are used:

1 × 8⁰ = 1
0 × 8¹ = 0
0 × 8² = 0
5 × 8³ = 2560
2 × 8⁴ = 8192

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

1 + 0 + 0 + 2560 + 8192 = 10753

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.

10753 ÷ 2 = 5376 with 1 remainder
5376 ÷ 2 = 2688 with 0 remainder
2688 ÷ 2 = 1344 with 0 remainder
1344 ÷ 2 = 672 with 0 remainder
672 ÷ 2 = 336 with 0 remainder
336 ÷ 2 = 168 with 0 remainder
168 ÷ 2 = 84 with 0 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 25001 octal to binary:

25001 octal = 10101000000001 binary

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

25002 octal to binary
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