20CF hexadecimal to binary

Here we will show you how to convert the hexadecimal number 20CF 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 20CF from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 20CF by 16⁰, multiply the second to last digit in 20CF by 16¹, multiply the third to last digit in 20CF by 16², multiply the fourth to last digit in 20CF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
C × 16¹ = 192
0 × 16² = 0
2 × 16³ = 8192

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 + 0 + 8192 = 8399

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.

8399 ÷ 2 = 4199 with 1 remainder
4199 ÷ 2 = 2099 with 1 remainder
2099 ÷ 2 = 1049 with 1 remainder
1049 ÷ 2 = 524 with 1 remainder
524 ÷ 2 = 262 with 0 remainder
262 ÷ 2 = 131 with 0 remainder
131 ÷ 2 = 65 with 1 remainder
65 ÷ 2 = 32 with 1 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 20CF hexadecimal to binary:

20CF hexadecimal = 10000011001111 binary

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