5440 octal to binary

Here we will show you how to convert the octal number 5440 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 5440 from octal to binary are explained below.

Step 1)
Multiply the last digit in 5440 by 8⁰, multiply the second to last digit in 5440 by 8¹, multiply the third to last digit in 5440 by 8², multiply the fourth to last digit in 5440 by 8³, and so on, until all the digits are used:

0 × 8⁰ = 0
4 × 8¹ = 32
4 × 8² = 256
5 × 8³ = 2560

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

0 + 32 + 256 + 2560 = 2848

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.

2848 ÷ 2 = 1424 with 0 remainder
1424 ÷ 2 = 712 with 0 remainder
712 ÷ 2 = 356 with 0 remainder
356 ÷ 2 = 178 with 0 remainder
178 ÷ 2 = 89 with 0 remainder
89 ÷ 2 = 44 with 1 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 5440 octal to binary:

5440 octal = 101100100000 binary

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

5441 octal to binary
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