D996 hexadecimal to binary

Here we will show you how to convert the hexadecimal number D996 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 D996 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in D996 by 16⁰, multiply the second to last digit in D996 by 16¹, multiply the third to last digit in D996 by 16², multiply the fourth to last digit in D996 by 16³, and so on, until all the digits are used.

6 × 16⁰ = 6
9 × 16¹ = 144
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:

6 + 144 + 2304 + 53248 = 55702

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.

55702 ÷ 2 = 27851 with 0 remainder
27851 ÷ 2 = 13925 with 1 remainder
13925 ÷ 2 = 6962 with 1 remainder
6962 ÷ 2 = 3481 with 0 remainder
3481 ÷ 2 = 1740 with 1 remainder
1740 ÷ 2 = 870 with 0 remainder
870 ÷ 2 = 435 with 0 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 D996 hexadecimal to binary:

D996 hexadecimal = 1101100110010110 binary

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

D997 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.