1CEC hexadecimal to binary

Here we will show you how to convert the hexadecimal number 1CEC 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 1CEC from hexadecimal to binary are explained below.

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

C × 16⁰ = 12
E × 16¹ = 224
C × 16² = 3072
1 × 16³ = 4096

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:

12 + 224 + 3072 + 4096 = 7404

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.

7404 ÷ 2 = 3702 with 0 remainder
3702 ÷ 2 = 1851 with 0 remainder
1851 ÷ 2 = 925 with 1 remainder
925 ÷ 2 = 462 with 1 remainder
462 ÷ 2 = 231 with 0 remainder
231 ÷ 2 = 115 with 1 remainder
115 ÷ 2 = 57 with 1 remainder
57 ÷ 2 = 28 with 1 remainder
28 ÷ 2 = 14 with 0 remainder
14 ÷ 2 = 7 with 0 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 1CEC hexadecimal to binary:

1CEC hexadecimal = 1110011101100 binary

Hexadecimal to Binary Converter
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