CFA0 hexadecimal to binary

Here we will show you how to convert the hexadecimal number CFA0 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 CFA0 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in CFA0 by 16⁰, multiply the second to last digit in CFA0 by 16¹, multiply the third to last digit in CFA0 by 16², multiply the fourth to last digit in CFA0 by 16³, and so on, until all the digits are used.

0 × 16⁰ = 0
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:

0 + 160 + 3840 + 49152 = 53152

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.

53152 ÷ 2 = 26576 with 0 remainder
26576 ÷ 2 = 13288 with 0 remainder
13288 ÷ 2 = 6644 with 0 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 CFA0 hexadecimal to binary:

CFA0 hexadecimal = 1100111110100000 binary

Hexadecimal to Binary Converter
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CFA1 hexadecimal to binary
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