542C hexadecimal to binary

Here we will show you how to convert the hexadecimal number 542C 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 542C from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 542C by 16⁰, multiply the second to last digit in 542C by 16¹, multiply the third to last digit in 542C by 16², multiply the fourth to last digit in 542C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
2 × 16¹ = 32
4 × 16² = 1024
5 × 16³ = 20480

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:

12 + 32 + 1024 + 20480 = 21548

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.

21548 ÷ 2 = 10774 with 0 remainder
10774 ÷ 2 = 5387 with 0 remainder
5387 ÷ 2 = 2693 with 1 remainder
2693 ÷ 2 = 1346 with 1 remainder
1346 ÷ 2 = 673 with 0 remainder
673 ÷ 2 = 336 with 1 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 542C hexadecimal to binary:

542C hexadecimal = 101010000101100 binary

Hexadecimal to Binary Converter
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