13665 octal to binary

Here we will show you how to convert the octal number 13665 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 13665 from octal to binary are explained below.

Step 1)
Multiply the last digit in 13665 by 8⁰, multiply the second to last digit in 13665 by 8¹, multiply the third to last digit in 13665 by 8², multiply the fourth to last digit in 13665 by 8³, and so on, until all the digits are used:

5 × 8⁰ = 5
6 × 8¹ = 48
6 × 8² = 384
3 × 8³ = 1536
1 × 8⁴ = 4096

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

5 + 48 + 384 + 1536 + 4096 = 6069

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.

6069 ÷ 2 = 3034 with 1 remainder
3034 ÷ 2 = 1517 with 0 remainder
1517 ÷ 2 = 758 with 1 remainder
758 ÷ 2 = 379 with 0 remainder
379 ÷ 2 = 189 with 1 remainder
189 ÷ 2 = 94 with 1 remainder
94 ÷ 2 = 47 with 0 remainder
47 ÷ 2 = 23 with 1 remainder
23 ÷ 2 = 11 with 1 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 13665 octal to binary:

13665 octal = 1011110110101 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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