52A6 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 52A6 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 52A6 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 52A6 by 16⁰, multiply the second to last digit in 52A6 by 16¹, multiply the third to last digit in 52A6 by 16², multiply the fourth to last digit in 52A6 by 16³, and so on, until all the digits are used.

6 × 16⁰ = 6
A × 16¹ = 160
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:

6 + 160 + 512 + 20480 = 21158

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.

21158 ÷ 2 = 10579 with 0 remainder
10579 ÷ 2 = 5289 with 1 remainder
5289 ÷ 2 = 2644 with 1 remainder
2644 ÷ 2 = 1322 with 0 remainder
1322 ÷ 2 = 661 with 0 remainder
661 ÷ 2 = 330 with 1 remainder
330 ÷ 2 = 165 with 0 remainder
165 ÷ 2 = 82 with 1 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 52A6 hexadecimal to binary:

52A6 hexadecimal = 101001010100110 binary

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52A7 hexadecimal to binary
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