16115 octal to binary

Here we will show you how to convert the octal number 16115 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 16115 from octal to binary are explained below.

Step 1)
Multiply the last digit in 16115 by 8⁰, multiply the second to last digit in 16115 by 8¹, multiply the third to last digit in 16115 by 8², multiply the fourth to last digit in 16115 by 8³, and so on, until all the digits are used:

5 × 8⁰ = 5
1 × 8¹ = 8
1 × 8² = 64
6 × 8³ = 3072
1 × 8⁴ = 4096

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

5 + 8 + 64 + 3072 + 4096 = 7245

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.

7245 ÷ 2 = 3622 with 1 remainder
3622 ÷ 2 = 1811 with 0 remainder
1811 ÷ 2 = 905 with 1 remainder
905 ÷ 2 = 452 with 1 remainder
452 ÷ 2 = 226 with 0 remainder
226 ÷ 2 = 113 with 0 remainder
113 ÷ 2 = 56 with 1 remainder
56 ÷ 2 = 28 with 0 remainder
28 ÷ 2 = 14 with 0 remainder
14 ÷ 2 = 7 with 0 remainder
7 ÷ 2 = 3 with 1 remainder
3 ÷ 2 = 1 with 1 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 16115 octal to binary:

16115 octal = 1110001001101 binary

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

16116 octal to binary
Go here for the next octal number on our list that we have converted to binary.