12345 octal to binary

Here we will show you how to convert the octal number 12345 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 12345 from octal to binary are explained below.

Step 1)
Multiply the last digit in 12345 by 8⁰, multiply the second to last digit in 12345 by 8¹, multiply the third to last digit in 12345 by 8², multiply the fourth to last digit in 12345 by 8³, and so on, until all the digits are used:

5 × 8⁰ = 5
4 × 8¹ = 32
3 × 8² = 192
2 × 8³ = 1024
1 × 8⁴ = 4096

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

5 + 32 + 192 + 1024 + 4096 = 5349

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.

5349 ÷ 2 = 2674 with 1 remainder
2674 ÷ 2 = 1337 with 0 remainder
1337 ÷ 2 = 668 with 1 remainder
668 ÷ 2 = 334 with 0 remainder
334 ÷ 2 = 167 with 0 remainder
167 ÷ 2 = 83 with 1 remainder
83 ÷ 2 = 41 with 1 remainder
41 ÷ 2 = 20 with 1 remainder
20 ÷ 2 = 10 with 0 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 12345 octal to binary:

12345 octal = 1010011100101 binary

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

12346 octal to binary
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