CF7F hexadecimal to binary

Here we will show you how to convert the hexadecimal number CF7F 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 CF7F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in CF7F by 16⁰, multiply the second to last digit in CF7F by 16¹, multiply the third to last digit in CF7F by 16², multiply the fourth to last digit in CF7F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
7 × 16¹ = 112
F × 16² = 3840
C × 16³ = 49152

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 + 112 + 3840 + 49152 = 53119

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.

53119 ÷ 2 = 26559 with 1 remainder
26559 ÷ 2 = 13279 with 1 remainder
13279 ÷ 2 = 6639 with 1 remainder
6639 ÷ 2 = 3319 with 1 remainder
3319 ÷ 2 = 1659 with 1 remainder
1659 ÷ 2 = 829 with 1 remainder
829 ÷ 2 = 414 with 1 remainder
414 ÷ 2 = 207 with 0 remainder
207 ÷ 2 = 103 with 1 remainder
103 ÷ 2 = 51 with 1 remainder
51 ÷ 2 = 25 with 1 remainder
25 ÷ 2 = 12 with 1 remainder
12 ÷ 2 = 6 with 0 remainder
6 ÷ 2 = 3 with 0 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 CF7F hexadecimal to binary:

CF7F hexadecimal = 1100111101111111 binary

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