12702 octal to binary

Here we will show you how to convert the octal number 12702 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 12702 from octal to binary are explained below.

Step 1)
Multiply the last digit in 12702 by 8⁰, multiply the second to last digit in 12702 by 8¹, multiply the third to last digit in 12702 by 8², multiply the fourth to last digit in 12702 by 8³, and so on, until all the digits are used:

2 × 8⁰ = 2
0 × 8¹ = 0
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:

2 + 0 + 448 + 1024 + 4096 = 5570

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.

5570 ÷ 2 = 2785 with 0 remainder
2785 ÷ 2 = 1392 with 1 remainder
1392 ÷ 2 = 696 with 0 remainder
696 ÷ 2 = 348 with 0 remainder
348 ÷ 2 = 174 with 0 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 12702 octal to binary:

12702 octal = 1010111000010 binary

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

12703 octal to binary
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