52F9 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 52F9 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 52F9 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 52F9 by 16⁰, multiply the second to last digit in 52F9 by 16¹, multiply the third to last digit in 52F9 by 16², multiply the fourth to last digit in 52F9 by 16³, and so on, until all the digits are used.

9 × 16⁰ = 9
F × 16¹ = 240
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:

9 + 240 + 512 + 20480 = 21241

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.

21241 ÷ 2 = 10620 with 1 remainder
10620 ÷ 2 = 5310 with 0 remainder
5310 ÷ 2 = 2655 with 0 remainder
2655 ÷ 2 = 1327 with 1 remainder
1327 ÷ 2 = 663 with 1 remainder
663 ÷ 2 = 331 with 1 remainder
331 ÷ 2 = 165 with 1 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 52F9 hexadecimal to binary:

52F9 hexadecimal = 101001011111001 binary

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52FA hexadecimal to binary
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