56727 octal to binary

Here we will show you how to convert the octal number 56727 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 56727 from octal to binary are explained below.

Step 1)
Multiply the last digit in 56727 by 8⁰, multiply the second to last digit in 56727 by 8¹, multiply the third to last digit in 56727 by 8², multiply the fourth to last digit in 56727 by 8³, and so on, until all the digits are used:

7 × 8⁰ = 7
2 × 8¹ = 16
7 × 8² = 448
6 × 8³ = 3072
5 × 8⁴ = 20480

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

7 + 16 + 448 + 3072 + 20480 = 24023

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.

24023 ÷ 2 = 12011 with 1 remainder
12011 ÷ 2 = 6005 with 1 remainder
6005 ÷ 2 = 3002 with 1 remainder
3002 ÷ 2 = 1501 with 0 remainder
1501 ÷ 2 = 750 with 1 remainder
750 ÷ 2 = 375 with 0 remainder
375 ÷ 2 = 187 with 1 remainder
187 ÷ 2 = 93 with 1 remainder
93 ÷ 2 = 46 with 1 remainder
46 ÷ 2 = 23 with 0 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 56727 octal to binary:

56727 octal = 101110111010111 binary

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

56730 octal to binary
Go here for the next octal number on our list that we have converted to binary.