ED1E hexadecimal to binary

Here we will show you how to convert the hexadecimal number ED1E 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 ED1E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in ED1E by 16⁰, multiply the second to last digit in ED1E by 16¹, multiply the third to last digit in ED1E by 16², multiply the fourth to last digit in ED1E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
1 × 16¹ = 16
D × 16² = 3328
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:

14 + 16 + 3328 + 57344 = 60702

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.

60702 ÷ 2 = 30351 with 0 remainder
30351 ÷ 2 = 15175 with 1 remainder
15175 ÷ 2 = 7587 with 1 remainder
7587 ÷ 2 = 3793 with 1 remainder
3793 ÷ 2 = 1896 with 1 remainder
1896 ÷ 2 = 948 with 0 remainder
948 ÷ 2 = 474 with 0 remainder
474 ÷ 2 = 237 with 0 remainder
237 ÷ 2 = 118 with 1 remainder
118 ÷ 2 = 59 with 0 remainder
59 ÷ 2 = 29 with 1 remainder
29 ÷ 2 = 14 with 1 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 ED1E hexadecimal to binary:

ED1E hexadecimal = 1110110100011110 binary

Hexadecimal to Binary Converter
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ED1F hexadecimal to binary
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