11344 octal to binary

Here we will show you how to convert the octal number 11344 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 11344 from octal to binary are explained below.

Step 1)
Multiply the last digit in 11344 by 8⁰, multiply the second to last digit in 11344 by 8¹, multiply the third to last digit in 11344 by 8², multiply the fourth to last digit in 11344 by 8³, and so on, until all the digits are used:

4 × 8⁰ = 4
4 × 8¹ = 32
3 × 8² = 192
1 × 8³ = 512
1 × 8⁴ = 4096

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

4 + 32 + 192 + 512 + 4096 = 4836

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.

4836 ÷ 2 = 2418 with 0 remainder
2418 ÷ 2 = 1209 with 0 remainder
1209 ÷ 2 = 604 with 1 remainder
604 ÷ 2 = 302 with 0 remainder
302 ÷ 2 = 151 with 0 remainder
151 ÷ 2 = 75 with 1 remainder
75 ÷ 2 = 37 with 1 remainder
37 ÷ 2 = 18 with 1 remainder
18 ÷ 2 = 9 with 0 remainder
9 ÷ 2 = 4 with 1 remainder
4 ÷ 2 = 2 with 0 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 11344 octal to binary:

11344 octal = 1001011100100 binary

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

11345 octal to binary
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