10770 octal to binary

Here we will show you how to convert the octal number 10770 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 10770 from octal to binary are explained below.

Step 1)
Multiply the last digit in 10770 by 8⁰, multiply the second to last digit in 10770 by 8¹, multiply the third to last digit in 10770 by 8², multiply the fourth to last digit in 10770 by 8³, and so on, until all the digits are used:

0 × 8⁰ = 0
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:

0 + 56 + 448 + 0 + 4096 = 4600

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.

4600 ÷ 2 = 2300 with 0 remainder
2300 ÷ 2 = 1150 with 0 remainder
1150 ÷ 2 = 575 with 0 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 10770 octal to binary:

10770 octal = 1000111111000 binary

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

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