56234 octal to binary

Here we will show you how to convert the octal number 56234 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 56234 from octal to binary are explained below.

Step 1)
Multiply the last digit in 56234 by 8⁰, multiply the second to last digit in 56234 by 8¹, multiply the third to last digit in 56234 by 8², multiply the fourth to last digit in 56234 by 8³, and so on, until all the digits are used:

4 × 8⁰ = 4
3 × 8¹ = 24
2 × 8² = 128
6 × 8³ = 3072
5 × 8⁴ = 20480

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

4 + 24 + 128 + 3072 + 20480 = 23708

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.

23708 ÷ 2 = 11854 with 0 remainder
11854 ÷ 2 = 5927 with 0 remainder
5927 ÷ 2 = 2963 with 1 remainder
2963 ÷ 2 = 1481 with 1 remainder
1481 ÷ 2 = 740 with 1 remainder
740 ÷ 2 = 370 with 0 remainder
370 ÷ 2 = 185 with 0 remainder
185 ÷ 2 = 92 with 1 remainder
92 ÷ 2 = 46 with 0 remainder
46 ÷ 2 = 23 with 0 remainder
23 ÷ 2 = 11 with 1 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 56234 octal to binary:

56234 octal = 101110010011100 binary

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

56235 octal to binary
Go here for the next octal number on our list that we have converted to binary.