13054 octal to binary

Here we will show you how to convert the octal number 13054 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 13054 from octal to binary are explained below.

Step 1)
Multiply the last digit in 13054 by 8⁰, multiply the second to last digit in 13054 by 8¹, multiply the third to last digit in 13054 by 8², multiply the fourth to last digit in 13054 by 8³, and so on, until all the digits are used:

4 × 8⁰ = 4
5 × 8¹ = 40
0 × 8² = 0
3 × 8³ = 1536
1 × 8⁴ = 4096

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

4 + 40 + 0 + 1536 + 4096 = 5676

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.

5676 ÷ 2 = 2838 with 0 remainder
2838 ÷ 2 = 1419 with 0 remainder
1419 ÷ 2 = 709 with 1 remainder
709 ÷ 2 = 354 with 1 remainder
354 ÷ 2 = 177 with 0 remainder
177 ÷ 2 = 88 with 1 remainder
88 ÷ 2 = 44 with 0 remainder
44 ÷ 2 = 22 with 0 remainder
22 ÷ 2 = 11 with 0 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 13054 octal to binary:

13054 octal = 1011000101100 binary

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

13055 octal to binary
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