13003 octal to binary

Here we will show you how to convert the octal number 13003 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 13003 from octal to binary are explained below.

Step 1)
Multiply the last digit in 13003 by 8⁰, multiply the second to last digit in 13003 by 8¹, multiply the third to last digit in 13003 by 8², multiply the fourth to last digit in 13003 by 8³, and so on, until all the digits are used:

3 × 8⁰ = 3
0 × 8¹ = 0
0 × 8² = 0
3 × 8³ = 1536
1 × 8⁴ = 4096

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

3 + 0 + 0 + 1536 + 4096 = 5635

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.

5635 ÷ 2 = 2817 with 1 remainder
2817 ÷ 2 = 1408 with 1 remainder
1408 ÷ 2 = 704 with 0 remainder
704 ÷ 2 = 352 with 0 remainder
352 ÷ 2 = 176 with 0 remainder
176 ÷ 2 = 88 with 0 remainder
88 ÷ 2 = 44 with 0 remainder
44 ÷ 2 = 22 with 0 remainder
22 ÷ 2 = 11 with 0 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 13003 octal to binary:

13003 octal = 1011000000011 binary

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

13004 octal to binary
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