CEFA hexadecimal to binary

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

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

A × 16⁰ = 10
F × 16¹ = 240
E × 16² = 3584
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:

10 + 240 + 3584 + 49152 = 52986

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.

52986 ÷ 2 = 26493 with 0 remainder
26493 ÷ 2 = 13246 with 1 remainder
13246 ÷ 2 = 6623 with 0 remainder
6623 ÷ 2 = 3311 with 1 remainder
3311 ÷ 2 = 1655 with 1 remainder
1655 ÷ 2 = 827 with 1 remainder
827 ÷ 2 = 413 with 1 remainder
413 ÷ 2 = 206 with 1 remainder
206 ÷ 2 = 103 with 0 remainder
103 ÷ 2 = 51 with 1 remainder
51 ÷ 2 = 25 with 1 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 CEFA hexadecimal to binary:

CEFA hexadecimal = 1100111011111010 binary

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CEFB hexadecimal to binary
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