
Here we will show you how to convert the hexadecimal number 540 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 540 from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in 540 by 16⁰, multiply the second to last digit in 540 by 16¹, multiply the third to last digit in 540 by 16², multiply the fourth to last digit in 540 by 16³, and so on, until all the digits are used.
0 × 16⁰ = 0
4 × 16¹ = 64
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 + 64 + 1280 = 1344
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.
1344 ÷ 2 = 672 with 0 remainder
672 ÷ 2 = 336 with 0 remainder
336 ÷ 2 = 168 with 0 remainder
168 ÷ 2 = 84 with 0 remainder
84 ÷ 2 = 42 with 0 remainder
42 ÷ 2 = 21 with 0 remainder
21 ÷ 2 = 10 with 1 remainder
10 ÷ 2 = 5 with 0 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 540 hexadecimal to binary:
540 hexadecimal = 10101000000 binary
Hexadecimal to Binary Converter
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541 hexadecimal to binary
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