ED5E hexadecimal to binary

Here we will show you how to convert the hexadecimal number ED5E 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 ED5E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in ED5E by 16⁰, multiply the second to last digit in ED5E by 16¹, multiply the third to last digit in ED5E by 16², multiply the fourth to last digit in ED5E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
5 × 16¹ = 80
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 + 80 + 3328 + 57344 = 60766

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.

60766 ÷ 2 = 30383 with 0 remainder
30383 ÷ 2 = 15191 with 1 remainder
15191 ÷ 2 = 7595 with 1 remainder
7595 ÷ 2 = 3797 with 1 remainder
3797 ÷ 2 = 1898 with 1 remainder
1898 ÷ 2 = 949 with 0 remainder
949 ÷ 2 = 474 with 1 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 ED5E hexadecimal to binary:

ED5E hexadecimal = 1110110101011110 binary

Hexadecimal to Binary Converter
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ED5F hexadecimal to binary
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