F2D6 hexadecimal to binary

Here we will show you how to convert the hexadecimal number F2D6 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 F2D6 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F2D6 by 16⁰, multiply the second to last digit in F2D6 by 16¹, multiply the third to last digit in F2D6 by 16², multiply the fourth to last digit in F2D6 by 16³, and so on, until all the digits are used.

6 × 16⁰ = 6
D × 16¹ = 208
2 × 16² = 512
F × 16³ = 61440

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 + 208 + 512 + 61440 = 62166

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.

62166 ÷ 2 = 31083 with 0 remainder
31083 ÷ 2 = 15541 with 1 remainder
15541 ÷ 2 = 7770 with 1 remainder
7770 ÷ 2 = 3885 with 0 remainder
3885 ÷ 2 = 1942 with 1 remainder
1942 ÷ 2 = 971 with 0 remainder
971 ÷ 2 = 485 with 1 remainder
485 ÷ 2 = 242 with 1 remainder
242 ÷ 2 = 121 with 0 remainder
121 ÷ 2 = 60 with 1 remainder
60 ÷ 2 = 30 with 0 remainder
30 ÷ 2 = 15 with 0 remainder
15 ÷ 2 = 7 with 1 remainder
7 ÷ 2 = 3 with 1 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 F2D6 hexadecimal to binary:

F2D6 hexadecimal = 1111001011010110 binary

Hexadecimal to Binary Converter
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F2D7 hexadecimal to binary
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