CD7F hexadecimal to binary

Here we will show you how to convert the hexadecimal number CD7F 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 CD7F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in CD7F by 16⁰, multiply the second to last digit in CD7F by 16¹, multiply the third to last digit in CD7F by 16², multiply the fourth to last digit in CD7F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
7 × 16¹ = 112
D × 16² = 3328
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 + 3328 + 49152 = 52607

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.

52607 ÷ 2 = 26303 with 1 remainder
26303 ÷ 2 = 13151 with 1 remainder
13151 ÷ 2 = 6575 with 1 remainder
6575 ÷ 2 = 3287 with 1 remainder
3287 ÷ 2 = 1643 with 1 remainder
1643 ÷ 2 = 821 with 1 remainder
821 ÷ 2 = 410 with 1 remainder
410 ÷ 2 = 205 with 0 remainder
205 ÷ 2 = 102 with 1 remainder
102 ÷ 2 = 51 with 0 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 CD7F hexadecimal to binary:

CD7F hexadecimal = 1100110101111111 binary

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