12642 octal to binary

Here we will show you how to convert the octal number 12642 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 12642 from octal to binary are explained below.

Step 1)
Multiply the last digit in 12642 by 8⁰, multiply the second to last digit in 12642 by 8¹, multiply the third to last digit in 12642 by 8², multiply the fourth to last digit in 12642 by 8³, and so on, until all the digits are used:

2 × 8⁰ = 2
4 × 8¹ = 32
6 × 8² = 384
2 × 8³ = 1024
1 × 8⁴ = 4096

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

2 + 32 + 384 + 1024 + 4096 = 5538

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.

5538 ÷ 2 = 2769 with 0 remainder
2769 ÷ 2 = 1384 with 1 remainder
1384 ÷ 2 = 692 with 0 remainder
692 ÷ 2 = 346 with 0 remainder
346 ÷ 2 = 173 with 0 remainder
173 ÷ 2 = 86 with 1 remainder
86 ÷ 2 = 43 with 0 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 12642 octal to binary:

12642 octal = 1010110100010 binary

Octal to Binary Converter
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12643 octal to binary
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