21AB hexadecimal to binary

Here we will show you how to convert the hexadecimal number 21AB 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 21AB from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 21AB by 16⁰, multiply the second to last digit in 21AB by 16¹, multiply the third to last digit in 21AB by 16², multiply the fourth to last digit in 21AB by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
A × 16¹ = 160
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:

11 + 160 + 256 + 8192 = 8619

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.

8619 ÷ 2 = 4309 with 1 remainder
4309 ÷ 2 = 2154 with 1 remainder
2154 ÷ 2 = 1077 with 0 remainder
1077 ÷ 2 = 538 with 1 remainder
538 ÷ 2 = 269 with 0 remainder
269 ÷ 2 = 134 with 1 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 21AB hexadecimal to binary:

21AB hexadecimal = 10000110101011 binary

Hexadecimal to Binary Converter
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21AC hexadecimal to binary
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