13425 octal to binary

Here we will show you how to convert the octal number 13425 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 13425 from octal to binary are explained below.

Step 1)
Multiply the last digit in 13425 by 8⁰, multiply the second to last digit in 13425 by 8¹, multiply the third to last digit in 13425 by 8², multiply the fourth to last digit in 13425 by 8³, and so on, until all the digits are used:

5 × 8⁰ = 5
2 × 8¹ = 16
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:

5 + 16 + 256 + 1536 + 4096 = 5909

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.

5909 ÷ 2 = 2954 with 1 remainder
2954 ÷ 2 = 1477 with 0 remainder
1477 ÷ 2 = 738 with 1 remainder
738 ÷ 2 = 369 with 0 remainder
369 ÷ 2 = 184 with 1 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 13425 octal to binary:

13425 octal = 1011100010101 binary

Octal to Binary Converter
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13426 octal to binary
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