42210 octal to binary

Here we will show you how to convert the octal number 42210 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 42210 from octal to binary are explained below.

Step 1)
Multiply the last digit in 42210 by 8⁰, multiply the second to last digit in 42210 by 8¹, multiply the third to last digit in 42210 by 8², multiply the fourth to last digit in 42210 by 8³, and so on, until all the digits are used:

0 × 8⁰ = 0
1 × 8¹ = 8
2 × 8² = 128
2 × 8³ = 1024
4 × 8⁴ = 16384

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

0 + 8 + 128 + 1024 + 16384 = 17544

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.

17544 ÷ 2 = 8772 with 0 remainder
8772 ÷ 2 = 4386 with 0 remainder
4386 ÷ 2 = 2193 with 0 remainder
2193 ÷ 2 = 1096 with 1 remainder
1096 ÷ 2 = 548 with 0 remainder
548 ÷ 2 = 274 with 0 remainder
274 ÷ 2 = 137 with 0 remainder
137 ÷ 2 = 68 with 1 remainder
68 ÷ 2 = 34 with 0 remainder
34 ÷ 2 = 17 with 0 remainder
17 ÷ 2 = 8 with 1 remainder
8 ÷ 2 = 4 with 0 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 42210 octal to binary:

42210 octal = 100010010001000 binary

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

42211 octal to binary
Go here for the next octal number on our list that we have converted to binary.