6025 octal to binary

Here we will show you how to convert the octal number 6025 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 6025 from octal to binary are explained below.

Step 1)
Multiply the last digit in 6025 by 8⁰, multiply the second to last digit in 6025 by 8¹, multiply the third to last digit in 6025 by 8², multiply the fourth to last digit in 6025 by 8³, and so on, until all the digits are used:

5 × 8⁰ = 5
2 × 8¹ = 16
0 × 8² = 0
6 × 8³ = 3072

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

5 + 16 + 0 + 3072 = 3093

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.

3093 ÷ 2 = 1546 with 1 remainder
1546 ÷ 2 = 773 with 0 remainder
773 ÷ 2 = 386 with 1 remainder
386 ÷ 2 = 193 with 0 remainder
193 ÷ 2 = 96 with 1 remainder
96 ÷ 2 = 48 with 0 remainder
48 ÷ 2 = 24 with 0 remainder
24 ÷ 2 = 12 with 0 remainder
12 ÷ 2 = 6 with 0 remainder
6 ÷ 2 = 3 with 0 remainder
3 ÷ 2 = 1 with 1 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 6025 octal to binary:

6025 octal = 110000010101 binary

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

6026 octal to binary
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