FD2F hexadecimal to binary

Here we will show you how to convert the hexadecimal number FD2F 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 FD2F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in FD2F by 16⁰, multiply the second to last digit in FD2F by 16¹, multiply the third to last digit in FD2F by 16², multiply the fourth to last digit in FD2F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
2 × 16¹ = 32
D × 16² = 3328
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:

15 + 32 + 3328 + 61440 = 64815

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.

64815 ÷ 2 = 32407 with 1 remainder
32407 ÷ 2 = 16203 with 1 remainder
16203 ÷ 2 = 8101 with 1 remainder
8101 ÷ 2 = 4050 with 1 remainder
4050 ÷ 2 = 2025 with 0 remainder
2025 ÷ 2 = 1012 with 1 remainder
1012 ÷ 2 = 506 with 0 remainder
506 ÷ 2 = 253 with 0 remainder
253 ÷ 2 = 126 with 1 remainder
126 ÷ 2 = 63 with 0 remainder
63 ÷ 2 = 31 with 1 remainder
31 ÷ 2 = 15 with 1 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 FD2F hexadecimal to binary:

FD2F hexadecimal = 1111110100101111 binary

Hexadecimal to Binary Converter
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