12720 octal to binary

Here we will show you how to convert the octal number 12720 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 12720 from octal to binary are explained below.

Step 1)
Multiply the last digit in 12720 by 8⁰, multiply the second to last digit in 12720 by 8¹, multiply the third to last digit in 12720 by 8², multiply the fourth to last digit in 12720 by 8³, and so on, until all the digits are used:

0 × 8⁰ = 0
2 × 8¹ = 16
7 × 8² = 448
2 × 8³ = 1024
1 × 8⁴ = 4096

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

0 + 16 + 448 + 1024 + 4096 = 5584

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.

5584 ÷ 2 = 2792 with 0 remainder
2792 ÷ 2 = 1396 with 0 remainder
1396 ÷ 2 = 698 with 0 remainder
698 ÷ 2 = 349 with 0 remainder
349 ÷ 2 = 174 with 1 remainder
174 ÷ 2 = 87 with 0 remainder
87 ÷ 2 = 43 with 1 remainder
43 ÷ 2 = 21 with 1 remainder
21 ÷ 2 = 10 with 1 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 12720 octal to binary:

12720 octal = 1010111010000 binary

Octal to Binary Converter
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12721 octal to binary
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