E40A hexadecimal to binary

Here we will show you how to convert the hexadecimal number E40A 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 E40A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in E40A by 16⁰, multiply the second to last digit in E40A by 16¹, multiply the third to last digit in E40A by 16², multiply the fourth to last digit in E40A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
0 × 16¹ = 0
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:

10 + 0 + 1024 + 57344 = 58378

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.

58378 ÷ 2 = 29189 with 0 remainder
29189 ÷ 2 = 14594 with 1 remainder
14594 ÷ 2 = 7297 with 0 remainder
7297 ÷ 2 = 3648 with 1 remainder
3648 ÷ 2 = 1824 with 0 remainder
1824 ÷ 2 = 912 with 0 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 E40A hexadecimal to binary:

E40A hexadecimal = 1110010000001010 binary

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E40B hexadecimal to binary
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