503 octal to binary

Here we will show you how to convert the octal number 503 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 503 from octal to binary are explained below.

Step 1)
Multiply the last digit in 503 by 8⁰, multiply the second to last digit in 503 by 8¹, multiply the third to last digit in 503 by 8², multiply the fourth to last digit in 503 by 8³, and so on, until all the digits are used:

3 × 8⁰ = 3
0 × 8¹ = 0
5 × 8² = 320

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

3 + 0 + 320 = 323

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.

323 ÷ 2 = 161 with 1 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 503 octal to binary:

503 octal = 101000011 binary

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

504 octal to binary
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