11454 octal to binary

Here we will show you how to convert the octal number 11454 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 11454 from octal to binary are explained below.

Step 1)
Multiply the last digit in 11454 by 8⁰, multiply the second to last digit in 11454 by 8¹, multiply the third to last digit in 11454 by 8², multiply the fourth to last digit in 11454 by 8³, and so on, until all the digits are used:

4 × 8⁰ = 4
5 × 8¹ = 40
4 × 8² = 256
1 × 8³ = 512
1 × 8⁴ = 4096

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

4 + 40 + 256 + 512 + 4096 = 4908

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.

4908 ÷ 2 = 2454 with 0 remainder
2454 ÷ 2 = 1227 with 0 remainder
1227 ÷ 2 = 613 with 1 remainder
613 ÷ 2 = 306 with 1 remainder
306 ÷ 2 = 153 with 0 remainder
153 ÷ 2 = 76 with 1 remainder
76 ÷ 2 = 38 with 0 remainder
38 ÷ 2 = 19 with 0 remainder
19 ÷ 2 = 9 with 1 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 11454 octal to binary:

11454 octal = 1001100101100 binary

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

11455 octal to binary
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