21BD hexadecimal to binary

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

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

D × 16⁰ = 13
B × 16¹ = 176
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:

13 + 176 + 256 + 8192 = 8637

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.

8637 ÷ 2 = 4318 with 1 remainder
4318 ÷ 2 = 2159 with 0 remainder
2159 ÷ 2 = 1079 with 1 remainder
1079 ÷ 2 = 539 with 1 remainder
539 ÷ 2 = 269 with 1 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 21BD hexadecimal to binary:

21BD hexadecimal = 10000110111101 binary

Hexadecimal to Binary Converter
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