7FDF hexadecimal to binary

Here we will show you how to convert the hexadecimal number 7FDF 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 7FDF from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 7FDF by 16⁰, multiply the second to last digit in 7FDF by 16¹, multiply the third to last digit in 7FDF by 16², multiply the fourth to last digit in 7FDF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
D × 16¹ = 208
F × 16² = 3840
7 × 16³ = 28672

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 + 208 + 3840 + 28672 = 32735

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.

32735 ÷ 2 = 16367 with 1 remainder
16367 ÷ 2 = 8183 with 1 remainder
8183 ÷ 2 = 4091 with 1 remainder
4091 ÷ 2 = 2045 with 1 remainder
2045 ÷ 2 = 1022 with 1 remainder
1022 ÷ 2 = 511 with 0 remainder
511 ÷ 2 = 255 with 1 remainder
255 ÷ 2 = 127 with 1 remainder
127 ÷ 2 = 63 with 1 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 7FDF hexadecimal to binary:

7FDF hexadecimal = 111111111011111 binary

Hexadecimal to Binary Converter
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