32731 octal to binary

Here we will show you how to convert the octal number 32731 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 32731 from octal to binary are explained below.

Step 1)
Multiply the last digit in 32731 by 8⁰, multiply the second to last digit in 32731 by 8¹, multiply the third to last digit in 32731 by 8², multiply the fourth to last digit in 32731 by 8³, and so on, until all the digits are used:

1 × 8⁰ = 1
3 × 8¹ = 24
7 × 8² = 448
2 × 8³ = 1024
3 × 8⁴ = 12288

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

1 + 24 + 448 + 1024 + 12288 = 13785

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.

13785 ÷ 2 = 6892 with 1 remainder
6892 ÷ 2 = 3446 with 0 remainder
3446 ÷ 2 = 1723 with 0 remainder
1723 ÷ 2 = 861 with 1 remainder
861 ÷ 2 = 430 with 1 remainder
430 ÷ 2 = 215 with 0 remainder
215 ÷ 2 = 107 with 1 remainder
107 ÷ 2 = 53 with 1 remainder
53 ÷ 2 = 26 with 1 remainder
26 ÷ 2 = 13 with 0 remainder
13 ÷ 2 = 6 with 1 remainder
6 ÷ 2 = 3 with 0 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 32731 octal to binary:

32731 octal = 11010111011001 binary

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

32732 octal to binary
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