50231 octal to binary

Here we will show you how to convert the octal number 50231 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 50231 from octal to binary are explained below.

Step 1)
Multiply the last digit in 50231 by 8⁰, multiply the second to last digit in 50231 by 8¹, multiply the third to last digit in 50231 by 8², multiply the fourth to last digit in 50231 by 8³, and so on, until all the digits are used:

1 × 8⁰ = 1
3 × 8¹ = 24
2 × 8² = 128
0 × 8³ = 0
5 × 8⁴ = 20480

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

1 + 24 + 128 + 0 + 20480 = 20633

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.

20633 ÷ 2 = 10316 with 1 remainder
10316 ÷ 2 = 5158 with 0 remainder
5158 ÷ 2 = 2579 with 0 remainder
2579 ÷ 2 = 1289 with 1 remainder
1289 ÷ 2 = 644 with 1 remainder
644 ÷ 2 = 322 with 0 remainder
322 ÷ 2 = 161 with 0 remainder
161 ÷ 2 = 80 with 1 remainder
80 ÷ 2 = 40 with 0 remainder
40 ÷ 2 = 20 with 0 remainder
20 ÷ 2 = 10 with 0 remainder
10 ÷ 2 = 5 with 0 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 50231 octal to binary:

50231 octal = 101000010011001 binary

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

50232 octal to binary
Go here for the next octal number on our list that we have converted to binary.