CBEF hexadecimal to binary

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

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

F × 16⁰ = 15
E × 16¹ = 224
B × 16² = 2816
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 + 2816 + 49152 = 52207

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.

52207 ÷ 2 = 26103 with 1 remainder
26103 ÷ 2 = 13051 with 1 remainder
13051 ÷ 2 = 6525 with 1 remainder
6525 ÷ 2 = 3262 with 1 remainder
3262 ÷ 2 = 1631 with 0 remainder
1631 ÷ 2 = 815 with 1 remainder
815 ÷ 2 = 407 with 1 remainder
407 ÷ 2 = 203 with 1 remainder
203 ÷ 2 = 101 with 1 remainder
101 ÷ 2 = 50 with 1 remainder
50 ÷ 2 = 25 with 0 remainder
25 ÷ 2 = 12 with 1 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 CBEF hexadecimal to binary:

CBEF hexadecimal = 1100101111101111 binary

Hexadecimal to Binary Converter
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