
Here we will show you how to convert the hexadecimal number E42C 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 E42C from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in E42C by 16⁰, multiply the second to last digit in E42C by 16¹, multiply the third to last digit in E42C by 16², multiply the fourth to last digit in E42C by 16³, and so on, until all the digits are used.
C × 16⁰ = 12
2 × 16¹ = 32
4 × 16² = 1024
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:
12 + 32 + 1024 + 57344 = 58412
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.
58412 ÷ 2 = 29206 with 0 remainder
29206 ÷ 2 = 14603 with 0 remainder
14603 ÷ 2 = 7301 with 1 remainder
7301 ÷ 2 = 3650 with 1 remainder
3650 ÷ 2 = 1825 with 0 remainder
1825 ÷ 2 = 912 with 1 remainder
912 ÷ 2 = 456 with 0 remainder
456 ÷ 2 = 228 with 0 remainder
228 ÷ 2 = 114 with 0 remainder
114 ÷ 2 = 57 with 0 remainder
57 ÷ 2 = 28 with 1 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 E42C hexadecimal to binary:
E42C hexadecimal = 1110010000101100 binary
Hexadecimal to Binary Converter
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E42D hexadecimal to binary
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