3CEF hexadecimal to binary

Here we will show you how to convert the hexadecimal number 3CEF 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 3CEF from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 3CEF by 16⁰, multiply the second to last digit in 3CEF by 16¹, multiply the third to last digit in 3CEF by 16², multiply the fourth to last digit in 3CEF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
E × 16¹ = 224
C × 16² = 3072
3 × 16³ = 12288

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 + 224 + 3072 + 12288 = 15599

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.

15599 ÷ 2 = 7799 with 1 remainder
7799 ÷ 2 = 3899 with 1 remainder
3899 ÷ 2 = 1949 with 1 remainder
1949 ÷ 2 = 974 with 1 remainder
974 ÷ 2 = 487 with 0 remainder
487 ÷ 2 = 243 with 1 remainder
243 ÷ 2 = 121 with 1 remainder
121 ÷ 2 = 60 with 1 remainder
60 ÷ 2 = 30 with 0 remainder
30 ÷ 2 = 15 with 0 remainder
15 ÷ 2 = 7 with 1 remainder
7 ÷ 2 = 3 with 1 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 3CEF hexadecimal to binary:

3CEF hexadecimal = 11110011101111 binary

Hexadecimal to Binary Converter
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