E24A hexadecimal to binary

Here we will show you how to convert the hexadecimal number E24A 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 E24A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in E24A by 16⁰, multiply the second to last digit in E24A by 16¹, multiply the third to last digit in E24A by 16², multiply the fourth to last digit in E24A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
4 × 16¹ = 64
2 × 16² = 512
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 + 64 + 512 + 57344 = 57930

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.

57930 ÷ 2 = 28965 with 0 remainder
28965 ÷ 2 = 14482 with 1 remainder
14482 ÷ 2 = 7241 with 0 remainder
7241 ÷ 2 = 3620 with 1 remainder
3620 ÷ 2 = 1810 with 0 remainder
1810 ÷ 2 = 905 with 0 remainder
905 ÷ 2 = 452 with 1 remainder
452 ÷ 2 = 226 with 0 remainder
226 ÷ 2 = 113 with 0 remainder
113 ÷ 2 = 56 with 1 remainder
56 ÷ 2 = 28 with 0 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 E24A hexadecimal to binary:

E24A hexadecimal = 1110001001001010 binary

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E24B hexadecimal to binary
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