218A hexadecimal to binary

Here we will show you how to convert the hexadecimal number 218A to a binary number. First note that the hexadecimal number system has sixteen different digits (0 1 2 3 4 5 6 7 8 9 A B C D E F) and the binary number system has only two different digits (0 and 1).

The four steps used to convert 218A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 218A by 16⁰, multiply the second to last digit in 218A by 16¹, multiply the third to last digit in 218A by 16², multiply the fourth to last digit in 218A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
8 × 16¹ = 128
1 × 16² = 256
2 × 16³ = 8192

Remember that the hexadecimal number system has sixteen different digits, so when doing the above calculation, we use the following values if applicable: A=10, B=11, C=12, D=13, E=14, and F=15.

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

10 + 128 + 256 + 8192 = 8586

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.

8586 ÷ 2 = 4293 with 0 remainder
4293 ÷ 2 = 2146 with 1 remainder
2146 ÷ 2 = 1073 with 0 remainder
1073 ÷ 2 = 536 with 1 remainder
536 ÷ 2 = 268 with 0 remainder
268 ÷ 2 = 134 with 0 remainder
134 ÷ 2 = 67 with 0 remainder
67 ÷ 2 = 33 with 1 remainder
33 ÷ 2 = 16 with 1 remainder
16 ÷ 2 = 8 with 0 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 218A hexadecimal to binary:

218A hexadecimal = 10000110001010 binary

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218B hexadecimal to binary
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