4FDF hexadecimal to binary

Here we will show you how to convert the hexadecimal number 4FDF 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 4FDF from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 4FDF by 16⁰, multiply the second to last digit in 4FDF by 16¹, multiply the third to last digit in 4FDF by 16², multiply the fourth to last digit in 4FDF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
D × 16¹ = 208
F × 16² = 3840
4 × 16³ = 16384

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 + 16384 = 20447

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.

20447 ÷ 2 = 10223 with 1 remainder
10223 ÷ 2 = 5111 with 1 remainder
5111 ÷ 2 = 2555 with 1 remainder
2555 ÷ 2 = 1277 with 1 remainder
1277 ÷ 2 = 638 with 1 remainder
638 ÷ 2 = 319 with 0 remainder
319 ÷ 2 = 159 with 1 remainder
159 ÷ 2 = 79 with 1 remainder
79 ÷ 2 = 39 with 1 remainder
39 ÷ 2 = 19 with 1 remainder
19 ÷ 2 = 9 with 1 remainder
9 ÷ 2 = 4 with 1 remainder
4 ÷ 2 = 2 with 0 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 4FDF hexadecimal to binary:

4FDF hexadecimal = 100111111011111 binary

Hexadecimal to Binary Converter
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