16022 octal to binary

Here we will show you how to convert the octal number 16022 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 16022 from octal to binary are explained below.

Step 1)
Multiply the last digit in 16022 by 8⁰, multiply the second to last digit in 16022 by 8¹, multiply the third to last digit in 16022 by 8², multiply the fourth to last digit in 16022 by 8³, and so on, until all the digits are used:

2 × 8⁰ = 2
2 × 8¹ = 16
0 × 8² = 0
6 × 8³ = 3072
1 × 8⁴ = 4096

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

2 + 16 + 0 + 3072 + 4096 = 7186

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.

7186 ÷ 2 = 3593 with 0 remainder
3593 ÷ 2 = 1796 with 1 remainder
1796 ÷ 2 = 898 with 0 remainder
898 ÷ 2 = 449 with 0 remainder
449 ÷ 2 = 224 with 1 remainder
224 ÷ 2 = 112 with 0 remainder
112 ÷ 2 = 56 with 0 remainder
56 ÷ 2 = 28 with 0 remainder
28 ÷ 2 = 14 with 0 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 16022 octal to binary:

16022 octal = 1110000010010 binary

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

16023 octal to binary
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