C5EF hexadecimal to binary

Here we will show you how to convert the hexadecimal number C5EF 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 C5EF from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in C5EF by 16⁰, multiply the second to last digit in C5EF by 16¹, multiply the third to last digit in C5EF by 16², multiply the fourth to last digit in C5EF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
E × 16¹ = 224
5 × 16² = 1280
C × 16³ = 49152

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 + 1280 + 49152 = 50671

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.

50671 ÷ 2 = 25335 with 1 remainder
25335 ÷ 2 = 12667 with 1 remainder
12667 ÷ 2 = 6333 with 1 remainder
6333 ÷ 2 = 3166 with 1 remainder
3166 ÷ 2 = 1583 with 0 remainder
1583 ÷ 2 = 791 with 1 remainder
791 ÷ 2 = 395 with 1 remainder
395 ÷ 2 = 197 with 1 remainder
197 ÷ 2 = 98 with 1 remainder
98 ÷ 2 = 49 with 0 remainder
49 ÷ 2 = 24 with 1 remainder
24 ÷ 2 = 12 with 0 remainder
12 ÷ 2 = 6 with 0 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 C5EF hexadecimal to binary:

C5EF hexadecimal = 1100010111101111 binary

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