13744 octal to binary

Here we will show you how to convert the octal number 13744 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 13744 from octal to binary are explained below.

Step 1)
Multiply the last digit in 13744 by 8⁰, multiply the second to last digit in 13744 by 8¹, multiply the third to last digit in 13744 by 8², multiply the fourth to last digit in 13744 by 8³, and so on, until all the digits are used:

4 × 8⁰ = 4
4 × 8¹ = 32
7 × 8² = 448
3 × 8³ = 1536
1 × 8⁴ = 4096

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

4 + 32 + 448 + 1536 + 4096 = 6116

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.

6116 ÷ 2 = 3058 with 0 remainder
3058 ÷ 2 = 1529 with 0 remainder
1529 ÷ 2 = 764 with 1 remainder
764 ÷ 2 = 382 with 0 remainder
382 ÷ 2 = 191 with 0 remainder
191 ÷ 2 = 95 with 1 remainder
95 ÷ 2 = 47 with 1 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 13744 octal to binary:

13744 octal = 1011111100100 binary

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

13745 octal to binary
Go here for the next octal number on our list that we have converted to binary.