11270 octal to binary

Here we will show you how to convert the octal number 11270 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 11270 from octal to binary are explained below.

Step 1)
Multiply the last digit in 11270 by 8⁰, multiply the second to last digit in 11270 by 8¹, multiply the third to last digit in 11270 by 8², multiply the fourth to last digit in 11270 by 8³, and so on, until all the digits are used:

0 × 8⁰ = 0
7 × 8¹ = 56
2 × 8² = 128
1 × 8³ = 512
1 × 8⁴ = 4096

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

0 + 56 + 128 + 512 + 4096 = 4792

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.

4792 ÷ 2 = 2396 with 0 remainder
2396 ÷ 2 = 1198 with 0 remainder
1198 ÷ 2 = 599 with 0 remainder
599 ÷ 2 = 299 with 1 remainder
299 ÷ 2 = 149 with 1 remainder
149 ÷ 2 = 74 with 1 remainder
74 ÷ 2 = 37 with 0 remainder
37 ÷ 2 = 18 with 1 remainder
18 ÷ 2 = 9 with 0 remainder
9 ÷ 2 = 4 with 1 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 11270 octal to binary:

11270 octal = 1001010111000 binary

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

11271 octal to binary
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