D2F1 hexadecimal to binary

Here we will show you how to convert the hexadecimal number D2F1 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 D2F1 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in D2F1 by 16⁰, multiply the second to last digit in D2F1 by 16¹, multiply the third to last digit in D2F1 by 16², multiply the fourth to last digit in D2F1 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
F × 16¹ = 240
2 × 16² = 512
D × 16³ = 53248

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:

1 + 240 + 512 + 53248 = 54001

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.

54001 ÷ 2 = 27000 with 1 remainder
27000 ÷ 2 = 13500 with 0 remainder
13500 ÷ 2 = 6750 with 0 remainder
6750 ÷ 2 = 3375 with 0 remainder
3375 ÷ 2 = 1687 with 1 remainder
1687 ÷ 2 = 843 with 1 remainder
843 ÷ 2 = 421 with 1 remainder
421 ÷ 2 = 210 with 1 remainder
210 ÷ 2 = 105 with 0 remainder
105 ÷ 2 = 52 with 1 remainder
52 ÷ 2 = 26 with 0 remainder
26 ÷ 2 = 13 with 0 remainder
13 ÷ 2 = 6 with 1 remainder
6 ÷ 2 = 3 with 0 remainder
3 ÷ 2 = 1 with 1 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 D2F1 hexadecimal to binary:

D2F1 hexadecimal = 1101001011110001 binary

Hexadecimal to Binary Converter
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D2F2 hexadecimal to binary
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