81D hexadecimal to binary

Here we will show you how to convert the hexadecimal number 81D 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 81D from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 81D by 16⁰, multiply the second to last digit in 81D by 16¹, multiply the third to last digit in 81D by 16², multiply the fourth to last digit in 81D by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
1 × 16¹ = 16
8 × 16² = 2048

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 + 16 + 2048 = 2077

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.

2077 ÷ 2 = 1038 with 1 remainder
1038 ÷ 2 = 519 with 0 remainder
519 ÷ 2 = 259 with 1 remainder
259 ÷ 2 = 129 with 1 remainder
129 ÷ 2 = 64 with 1 remainder
64 ÷ 2 = 32 with 0 remainder
32 ÷ 2 = 16 with 0 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 81D hexadecimal to binary:

81D hexadecimal = 100000011101 binary

Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.

81E hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.