5463 octal to binary

Here we will show you how to convert the octal number 5463 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 5463 from octal to binary are explained below.

Step 1)
Multiply the last digit in 5463 by 8⁰, multiply the second to last digit in 5463 by 8¹, multiply the third to last digit in 5463 by 8², multiply the fourth to last digit in 5463 by 8³, and so on, until all the digits are used:

3 × 8⁰ = 3
6 × 8¹ = 48
4 × 8² = 256
5 × 8³ = 2560

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

3 + 48 + 256 + 2560 = 2867

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.

2867 ÷ 2 = 1433 with 1 remainder
1433 ÷ 2 = 716 with 1 remainder
716 ÷ 2 = 358 with 0 remainder
358 ÷ 2 = 179 with 0 remainder
179 ÷ 2 = 89 with 1 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 5463 octal to binary:

5463 octal = 101100110011 binary

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

5464 octal to binary
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