13150 octal to binary

Here we will show you how to convert the octal number 13150 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 13150 from octal to binary are explained below.

Step 1)
Multiply the last digit in 13150 by 8⁰, multiply the second to last digit in 13150 by 8¹, multiply the third to last digit in 13150 by 8², multiply the fourth to last digit in 13150 by 8³, and so on, until all the digits are used:

0 × 8⁰ = 0
5 × 8¹ = 40
1 × 8² = 64
3 × 8³ = 1536
1 × 8⁴ = 4096

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

0 + 40 + 64 + 1536 + 4096 = 5736

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.

5736 ÷ 2 = 2868 with 0 remainder
2868 ÷ 2 = 1434 with 0 remainder
1434 ÷ 2 = 717 with 0 remainder
717 ÷ 2 = 358 with 1 remainder
358 ÷ 2 = 179 with 0 remainder
179 ÷ 2 = 89 with 1 remainder
89 ÷ 2 = 44 with 1 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 13150 octal to binary:

13150 octal = 1011001101000 binary

Octal to Binary Converter
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13151 octal to binary
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