D9CF hexadecimal to binary

Here we will show you how to convert the hexadecimal number D9CF 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 D9CF from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in D9CF by 16⁰, multiply the second to last digit in D9CF by 16¹, multiply the third to last digit in D9CF by 16², multiply the fourth to last digit in D9CF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
C × 16¹ = 192
9 × 16² = 2304
D × 16³ = 53248

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 + 192 + 2304 + 53248 = 55759

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.

55759 ÷ 2 = 27879 with 1 remainder
27879 ÷ 2 = 13939 with 1 remainder
13939 ÷ 2 = 6969 with 1 remainder
6969 ÷ 2 = 3484 with 1 remainder
3484 ÷ 2 = 1742 with 0 remainder
1742 ÷ 2 = 871 with 0 remainder
871 ÷ 2 = 435 with 1 remainder
435 ÷ 2 = 217 with 1 remainder
217 ÷ 2 = 108 with 1 remainder
108 ÷ 2 = 54 with 0 remainder
54 ÷ 2 = 27 with 0 remainder
27 ÷ 2 = 13 with 1 remainder
13 ÷ 2 = 6 with 1 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 D9CF hexadecimal to binary:

D9CF hexadecimal = 1101100111001111 binary

Hexadecimal to Binary Converter
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