16422 octal to binary

Here we will show you how to convert the octal number 16422 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 16422 from octal to binary are explained below.

Step 1)
Multiply the last digit in 16422 by 8⁰, multiply the second to last digit in 16422 by 8¹, multiply the third to last digit in 16422 by 8², multiply the fourth to last digit in 16422 by 8³, and so on, until all the digits are used:

2 × 8⁰ = 2
2 × 8¹ = 16
4 × 8² = 256
6 × 8³ = 3072
1 × 8⁴ = 4096

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

2 + 16 + 256 + 3072 + 4096 = 7442

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.

7442 ÷ 2 = 3721 with 0 remainder
3721 ÷ 2 = 1860 with 1 remainder
1860 ÷ 2 = 930 with 0 remainder
930 ÷ 2 = 465 with 0 remainder
465 ÷ 2 = 232 with 1 remainder
232 ÷ 2 = 116 with 0 remainder
116 ÷ 2 = 58 with 0 remainder
58 ÷ 2 = 29 with 0 remainder
29 ÷ 2 = 14 with 1 remainder
14 ÷ 2 = 7 with 0 remainder
7 ÷ 2 = 3 with 1 remainder
3 ÷ 2 = 1 with 1 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 16422 octal to binary:

16422 octal = 1110100010010 binary

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

16423 octal to binary
Go here for the next octal number on our list that we have converted to binary.