5125 octal to binary

Here we will show you how to convert the octal number 5125 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 5125 from octal to binary are explained below.

Step 1)
Multiply the last digit in 5125 by 8⁰, multiply the second to last digit in 5125 by 8¹, multiply the third to last digit in 5125 by 8², multiply the fourth to last digit in 5125 by 8³, and so on, until all the digits are used:

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

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

5 + 16 + 64 + 2560 = 2645

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.

2645 ÷ 2 = 1322 with 1 remainder
1322 ÷ 2 = 661 with 0 remainder
661 ÷ 2 = 330 with 1 remainder
330 ÷ 2 = 165 with 0 remainder
165 ÷ 2 = 82 with 1 remainder
82 ÷ 2 = 41 with 0 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 5125 octal to binary:

5125 octal = 101001010101 binary

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

5126 octal to binary
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