80CD hexadecimal to binary

Here we will show you how to convert the hexadecimal number 80CD 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 80CD from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 80CD by 16⁰, multiply the second to last digit in 80CD by 16¹, multiply the third to last digit in 80CD by 16², multiply the fourth to last digit in 80CD by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
C × 16¹ = 192
0 × 16² = 0
8 × 16³ = 32768

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:

13 + 192 + 0 + 32768 = 32973

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.

32973 ÷ 2 = 16486 with 1 remainder
16486 ÷ 2 = 8243 with 0 remainder
8243 ÷ 2 = 4121 with 1 remainder
4121 ÷ 2 = 2060 with 1 remainder
2060 ÷ 2 = 1030 with 0 remainder
1030 ÷ 2 = 515 with 0 remainder
515 ÷ 2 = 257 with 1 remainder
257 ÷ 2 = 128 with 1 remainder
128 ÷ 2 = 64 with 0 remainder
64 ÷ 2 = 32 with 0 remainder
32 ÷ 2 = 16 with 0 remainder
16 ÷ 2 = 8 with 0 remainder
8 ÷ 2 = 4 with 0 remainder
4 ÷ 2 = 2 with 0 remainder
2 ÷ 2 = 1 with 0 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 80CD hexadecimal to binary:

80CD hexadecimal = 1000000011001101 binary

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