2611 octal to binary

Here we will show you how to convert the octal number 2611 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 2611 from octal to binary are explained below.

Step 1)
Multiply the last digit in 2611 by 8⁰, multiply the second to last digit in 2611 by 8¹, multiply the third to last digit in 2611 by 8², multiply the fourth to last digit in 2611 by 8³, and so on, until all the digits are used:

1 × 8⁰ = 1
1 × 8¹ = 8
6 × 8² = 384
2 × 8³ = 1024

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

1 + 8 + 384 + 1024 = 1417

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.

1417 ÷ 2 = 708 with 1 remainder
708 ÷ 2 = 354 with 0 remainder
354 ÷ 2 = 177 with 0 remainder
177 ÷ 2 = 88 with 1 remainder
88 ÷ 2 = 44 with 0 remainder
44 ÷ 2 = 22 with 0 remainder
22 ÷ 2 = 11 with 0 remainder
11 ÷ 2 = 5 with 1 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 2611 octal to binary:

2611 octal = 10110001001 binary

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

2612 octal to binary
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