667 octal to binary

Here we will show you how to convert the octal number 667 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 667 from octal to binary are explained below.

Step 1)
Multiply the last digit in 667 by 8⁰, multiply the second to last digit in 667 by 8¹, multiply the third to last digit in 667 by 8², multiply the fourth to last digit in 667 by 8³, and so on, until all the digits are used:

7 × 8⁰ = 7
6 × 8¹ = 48
6 × 8² = 384

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

7 + 48 + 384 = 439

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.

439 ÷ 2 = 219 with 1 remainder
219 ÷ 2 = 109 with 1 remainder
109 ÷ 2 = 54 with 1 remainder
54 ÷ 2 = 27 with 0 remainder
27 ÷ 2 = 13 with 1 remainder
13 ÷ 2 = 6 with 1 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 667 octal to binary:

667 octal = 110110111 binary

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

670 octal to binary
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