10775 octal to binary

Here we will show you how to convert the octal number 10775 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 10775 from octal to binary are explained below.

Step 1)
Multiply the last digit in 10775 by 8⁰, multiply the second to last digit in 10775 by 8¹, multiply the third to last digit in 10775 by 8², multiply the fourth to last digit in 10775 by 8³, and so on, until all the digits are used:

5 × 8⁰ = 5
7 × 8¹ = 56
7 × 8² = 448
0 × 8³ = 0
1 × 8⁴ = 4096

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

5 + 56 + 448 + 0 + 4096 = 4605

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.

4605 ÷ 2 = 2302 with 1 remainder
2302 ÷ 2 = 1151 with 0 remainder
1151 ÷ 2 = 575 with 1 remainder
575 ÷ 2 = 287 with 1 remainder
287 ÷ 2 = 143 with 1 remainder
143 ÷ 2 = 71 with 1 remainder
71 ÷ 2 = 35 with 1 remainder
35 ÷ 2 = 17 with 1 remainder
17 ÷ 2 = 8 with 1 remainder
8 ÷ 2 = 4 with 0 remainder
4 ÷ 2 = 2 with 0 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 10775 octal to binary:

10775 octal = 1000111111101 binary

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

10776 octal to binary
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