523E hexadecimal to binary

Here we will show you how to convert the hexadecimal number 523E 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 523E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 523E by 16⁰, multiply the second to last digit in 523E by 16¹, multiply the third to last digit in 523E by 16², multiply the fourth to last digit in 523E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
3 × 16¹ = 48
2 × 16² = 512
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:

14 + 48 + 512 + 20480 = 21054

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.

21054 ÷ 2 = 10527 with 0 remainder
10527 ÷ 2 = 5263 with 1 remainder
5263 ÷ 2 = 2631 with 1 remainder
2631 ÷ 2 = 1315 with 1 remainder
1315 ÷ 2 = 657 with 1 remainder
657 ÷ 2 = 328 with 1 remainder
328 ÷ 2 = 164 with 0 remainder
164 ÷ 2 = 82 with 0 remainder
82 ÷ 2 = 41 with 0 remainder
41 ÷ 2 = 20 with 1 remainder
20 ÷ 2 = 10 with 0 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 523E hexadecimal to binary:

523E hexadecimal = 101001000111110 binary

Hexadecimal to Binary Converter
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523F hexadecimal to binary
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