D45D hexadecimal to binary

Here we will show you how to convert the hexadecimal number D45D 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 D45D from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in D45D by 16⁰, multiply the second to last digit in D45D by 16¹, multiply the third to last digit in D45D by 16², multiply the fourth to last digit in D45D by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
5 × 16¹ = 80
4 × 16² = 1024
D × 16³ = 53248

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 + 80 + 1024 + 53248 = 54365

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.

54365 ÷ 2 = 27182 with 1 remainder
27182 ÷ 2 = 13591 with 0 remainder
13591 ÷ 2 = 6795 with 1 remainder
6795 ÷ 2 = 3397 with 1 remainder
3397 ÷ 2 = 1698 with 1 remainder
1698 ÷ 2 = 849 with 0 remainder
849 ÷ 2 = 424 with 1 remainder
424 ÷ 2 = 212 with 0 remainder
212 ÷ 2 = 106 with 0 remainder
106 ÷ 2 = 53 with 0 remainder
53 ÷ 2 = 26 with 1 remainder
26 ÷ 2 = 13 with 0 remainder
13 ÷ 2 = 6 with 1 remainder
6 ÷ 2 = 3 with 0 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 D45D hexadecimal to binary:

D45D hexadecimal = 1101010001011101 binary

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D45E hexadecimal to binary
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