5EA hexadecimal to binary




Here we will show you how to convert the hexadecimal number 5EA 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 5EA from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 5EA by 16⁰, multiply the second to last digit in 5EA by 16¹, multiply the third to last digit in 5EA by 16², multiply the fourth to last digit in 5EA by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
E × 16¹ = 224
5 × 16² = 1280

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 + 224 + 1280 = 1514

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.

1514 ÷ 2 = 757 with 0 remainder
757 ÷ 2 = 378 with 1 remainder
378 ÷ 2 = 189 with 0 remainder
189 ÷ 2 = 94 with 1 remainder
94 ÷ 2 = 47 with 0 remainder
47 ÷ 2 = 23 with 1 remainder
23 ÷ 2 = 11 with 1 remainder
11 ÷ 2 = 5 with 1 remainder
5 ÷ 2 = 2 with 1 remainder
2 ÷ 2 = 1 with 0 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 5EA hexadecimal to binary:

5EA hexadecimal = 10111101010 binary


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5EB hexadecimal to binary
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