4003 octal to binary

Here we will show you how to convert the octal number 4003 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 4003 from octal to binary are explained below.

Step 1)
Multiply the last digit in 4003 by 8⁰, multiply the second to last digit in 4003 by 8¹, multiply the third to last digit in 4003 by 8², multiply the fourth to last digit in 4003 by 8³, and so on, until all the digits are used:

3 × 8⁰ = 3
0 × 8¹ = 0
0 × 8² = 0
4 × 8³ = 2048

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

3 + 0 + 0 + 2048 = 2051

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.

2051 ÷ 2 = 1025 with 1 remainder
1025 ÷ 2 = 512 with 1 remainder
512 ÷ 2 = 256 with 0 remainder
256 ÷ 2 = 128 with 0 remainder
128 ÷ 2 = 64 with 0 remainder
64 ÷ 2 = 32 with 0 remainder
32 ÷ 2 = 16 with 0 remainder
16 ÷ 2 = 8 with 0 remainder
8 ÷ 2 = 4 with 0 remainder
4 ÷ 2 = 2 with 0 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 4003 octal to binary:

4003 octal = 100000000011 binary

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

4004 octal to binary
Go here for the next octal number on our list that we have converted to binary.