CFA5 hexadecimal to binary

Here we will show you how to convert the hexadecimal number CFA5 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 CFA5 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in CFA5 by 16⁰, multiply the second to last digit in CFA5 by 16¹, multiply the third to last digit in CFA5 by 16², multiply the fourth to last digit in CFA5 by 16³, and so on, until all the digits are used.

5 × 16⁰ = 5
A × 16¹ = 160
F × 16² = 3840
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:

5 + 160 + 3840 + 49152 = 53157

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.

53157 ÷ 2 = 26578 with 1 remainder
26578 ÷ 2 = 13289 with 0 remainder
13289 ÷ 2 = 6644 with 1 remainder
6644 ÷ 2 = 3322 with 0 remainder
3322 ÷ 2 = 1661 with 0 remainder
1661 ÷ 2 = 830 with 1 remainder
830 ÷ 2 = 415 with 0 remainder
415 ÷ 2 = 207 with 1 remainder
207 ÷ 2 = 103 with 1 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 CFA5 hexadecimal to binary:

CFA5 hexadecimal = 1100111110100101 binary

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CFA6 hexadecimal to binary
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