13263 octal to binary

Here we will show you how to convert the octal number 13263 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 13263 from octal to binary are explained below.

Step 1)
Multiply the last digit in 13263 by 8⁰, multiply the second to last digit in 13263 by 8¹, multiply the third to last digit in 13263 by 8², multiply the fourth to last digit in 13263 by 8³, and so on, until all the digits are used:

3 × 8⁰ = 3
6 × 8¹ = 48
2 × 8² = 128
3 × 8³ = 1536
1 × 8⁴ = 4096

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

3 + 48 + 128 + 1536 + 4096 = 5811

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.

5811 ÷ 2 = 2905 with 1 remainder
2905 ÷ 2 = 1452 with 1 remainder
1452 ÷ 2 = 726 with 0 remainder
726 ÷ 2 = 363 with 0 remainder
363 ÷ 2 = 181 with 1 remainder
181 ÷ 2 = 90 with 1 remainder
90 ÷ 2 = 45 with 0 remainder
45 ÷ 2 = 22 with 1 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 13263 octal to binary:

13263 octal = 1011010110011 binary

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

13264 octal to binary
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