D57E hexadecimal to binary

Here we will show you how to convert the hexadecimal number D57E 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 D57E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in D57E by 16⁰, multiply the second to last digit in D57E by 16¹, multiply the third to last digit in D57E by 16², multiply the fourth to last digit in D57E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
7 × 16¹ = 112
5 × 16² = 1280
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:

14 + 112 + 1280 + 53248 = 54654

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.

54654 ÷ 2 = 27327 with 0 remainder
27327 ÷ 2 = 13663 with 1 remainder
13663 ÷ 2 = 6831 with 1 remainder
6831 ÷ 2 = 3415 with 1 remainder
3415 ÷ 2 = 1707 with 1 remainder
1707 ÷ 2 = 853 with 1 remainder
853 ÷ 2 = 426 with 1 remainder
426 ÷ 2 = 213 with 0 remainder
213 ÷ 2 = 106 with 1 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 D57E hexadecimal to binary:

D57E hexadecimal = 1101010101111110 binary

Hexadecimal to Binary Converter
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D57F hexadecimal to binary
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