7CFF hexadecimal to binary

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

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

F × 16⁰ = 15
F × 16¹ = 240
C × 16² = 3072
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 + 240 + 3072 + 28672 = 31999

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.

31999 ÷ 2 = 15999 with 1 remainder
15999 ÷ 2 = 7999 with 1 remainder
7999 ÷ 2 = 3999 with 1 remainder
3999 ÷ 2 = 1999 with 1 remainder
1999 ÷ 2 = 999 with 1 remainder
999 ÷ 2 = 499 with 1 remainder
499 ÷ 2 = 249 with 1 remainder
249 ÷ 2 = 124 with 1 remainder
124 ÷ 2 = 62 with 0 remainder
62 ÷ 2 = 31 with 0 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 7CFF hexadecimal to binary:

7CFF hexadecimal = 111110011111111 binary

Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.

7D00 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.