
Here we will show you how to convert the hexadecimal number EDCA 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 EDCA from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in EDCA by 16⁰, multiply the second to last digit in EDCA by 16¹, multiply the third to last digit in EDCA by 16², multiply the fourth to last digit in EDCA by 16³, and so on, until all the digits are used.
A × 16⁰ = 10
C × 16¹ = 192
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:
10 + 192 + 3328 + 57344 = 60874
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.
60874 ÷ 2 = 30437 with 0 remainder
30437 ÷ 2 = 15218 with 1 remainder
15218 ÷ 2 = 7609 with 0 remainder
7609 ÷ 2 = 3804 with 1 remainder
3804 ÷ 2 = 1902 with 0 remainder
1902 ÷ 2 = 951 with 0 remainder
951 ÷ 2 = 475 with 1 remainder
475 ÷ 2 = 237 with 1 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 EDCA hexadecimal to binary:
EDCA hexadecimal = 1110110111001010 binary
Hexadecimal to Binary Converter
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EDCB hexadecimal to binary
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