E1D4 hexadecimal to binary

Here we will show you how to convert the hexadecimal number E1D4 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 E1D4 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in E1D4 by 16⁰, multiply the second to last digit in E1D4 by 16¹, multiply the third to last digit in E1D4 by 16², multiply the fourth to last digit in E1D4 by 16³, and so on, until all the digits are used.

4 × 16⁰ = 4
D × 16¹ = 208
1 × 16² = 256
E × 16³ = 57344

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:

4 + 208 + 256 + 57344 = 57812

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.

57812 ÷ 2 = 28906 with 0 remainder
28906 ÷ 2 = 14453 with 0 remainder
14453 ÷ 2 = 7226 with 1 remainder
7226 ÷ 2 = 3613 with 0 remainder
3613 ÷ 2 = 1806 with 1 remainder
1806 ÷ 2 = 903 with 0 remainder
903 ÷ 2 = 451 with 1 remainder
451 ÷ 2 = 225 with 1 remainder
225 ÷ 2 = 112 with 1 remainder
112 ÷ 2 = 56 with 0 remainder
56 ÷ 2 = 28 with 0 remainder
28 ÷ 2 = 14 with 0 remainder
14 ÷ 2 = 7 with 0 remainder
7 ÷ 2 = 3 with 1 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 E1D4 hexadecimal to binary:

E1D4 hexadecimal = 1110000111010100 binary

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