3006 octal to binary

Here we will show you how to convert the octal number 3006 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 3006 from octal to binary are explained below.

Step 1)
Multiply the last digit in 3006 by 8⁰, multiply the second to last digit in 3006 by 8¹, multiply the third to last digit in 3006 by 8², multiply the fourth to last digit in 3006 by 8³, and so on, until all the digits are used:

6 × 8⁰ = 6
0 × 8¹ = 0
0 × 8² = 0
3 × 8³ = 1536

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

6 + 0 + 0 + 1536 = 1542

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.

1542 ÷ 2 = 771 with 0 remainder
771 ÷ 2 = 385 with 1 remainder
385 ÷ 2 = 192 with 1 remainder
192 ÷ 2 = 96 with 0 remainder
96 ÷ 2 = 48 with 0 remainder
48 ÷ 2 = 24 with 0 remainder
24 ÷ 2 = 12 with 0 remainder
12 ÷ 2 = 6 with 0 remainder
6 ÷ 2 = 3 with 0 remainder
3 ÷ 2 = 1 with 1 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 3006 octal to binary:

3006 octal = 11000000110 binary

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

3007 octal to binary
Go here for the next octal number on our list that we have converted to binary.