13421 octal to binary

Here we will show you how to convert the octal number 13421 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 13421 from octal to binary are explained below.

Step 1)
Multiply the last digit in 13421 by 8⁰, multiply the second to last digit in 13421 by 8¹, multiply the third to last digit in 13421 by 8², multiply the fourth to last digit in 13421 by 8³, and so on, until all the digits are used:

1 × 8⁰ = 1
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:

1 + 16 + 256 + 1536 + 4096 = 5905

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.

5905 ÷ 2 = 2952 with 1 remainder
2952 ÷ 2 = 1476 with 0 remainder
1476 ÷ 2 = 738 with 0 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 13421 octal to binary:

13421 octal = 1011100010001 binary

Octal to Binary Converter
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13422 octal to binary
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