
Here we will show you how to convert the hexadecimal number 5E0 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 5E0 from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in 5E0 by 16⁰, multiply the second to last digit in 5E0 by 16¹, multiply the third to last digit in 5E0 by 16², multiply the fourth to last digit in 5E0 by 16³, and so on, until all the digits are used.
0 × 16⁰ = 0
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:
0 + 224 + 1280 = 1504
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.
1504 ÷ 2 = 752 with 0 remainder
752 ÷ 2 = 376 with 0 remainder
376 ÷ 2 = 188 with 0 remainder
188 ÷ 2 = 94 with 0 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 5E0 hexadecimal to binary:
5E0 hexadecimal = 10111100000 binary
Hexadecimal to Binary Converter
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