13400 octal to binary

Here we will show you how to convert the octal number 13400 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 13400 from octal to binary are explained below.

Step 1)
Multiply the last digit in 13400 by 8⁰, multiply the second to last digit in 13400 by 8¹, multiply the third to last digit in 13400 by 8², multiply the fourth to last digit in 13400 by 8³, and so on, until all the digits are used:

0 × 8⁰ = 0
0 × 8¹ = 0
4 × 8² = 256
3 × 8³ = 1536
1 × 8⁴ = 4096

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

0 + 0 + 256 + 1536 + 4096 = 5888

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.

5888 ÷ 2 = 2944 with 0 remainder
2944 ÷ 2 = 1472 with 0 remainder
1472 ÷ 2 = 736 with 0 remainder
736 ÷ 2 = 368 with 0 remainder
368 ÷ 2 = 184 with 0 remainder
184 ÷ 2 = 92 with 0 remainder
92 ÷ 2 = 46 with 0 remainder
46 ÷ 2 = 23 with 0 remainder
23 ÷ 2 = 11 with 1 remainder
11 ÷ 2 = 5 with 1 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 13400 octal to binary:

13400 octal = 1011100000000 binary

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

13401 octal to binary
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