13731 octal to binary

Here we will show you how to convert the octal number 13731 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 13731 from octal to binary are explained below.

Step 1)
Multiply the last digit in 13731 by 8⁰, multiply the second to last digit in 13731 by 8¹, multiply the third to last digit in 13731 by 8², multiply the fourth to last digit in 13731 by 8³, and so on, until all the digits are used:

1 × 8⁰ = 1
3 × 8¹ = 24
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:

1 + 24 + 448 + 1536 + 4096 = 6105

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.

6105 ÷ 2 = 3052 with 1 remainder
3052 ÷ 2 = 1526 with 0 remainder
1526 ÷ 2 = 763 with 0 remainder
763 ÷ 2 = 381 with 1 remainder
381 ÷ 2 = 190 with 1 remainder
190 ÷ 2 = 95 with 0 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 13731 octal to binary:

13731 octal = 1011111011001 binary

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

13732 octal to binary
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