CF71 hexadecimal to binary

Here we will show you how to convert the hexadecimal number CF71 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 CF71 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in CF71 by 16⁰, multiply the second to last digit in CF71 by 16¹, multiply the third to last digit in CF71 by 16², multiply the fourth to last digit in CF71 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
7 × 16¹ = 112
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:

1 + 112 + 3840 + 49152 = 53105

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.

53105 ÷ 2 = 26552 with 1 remainder
26552 ÷ 2 = 13276 with 0 remainder
13276 ÷ 2 = 6638 with 0 remainder
6638 ÷ 2 = 3319 with 0 remainder
3319 ÷ 2 = 1659 with 1 remainder
1659 ÷ 2 = 829 with 1 remainder
829 ÷ 2 = 414 with 1 remainder
414 ÷ 2 = 207 with 0 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 CF71 hexadecimal to binary:

CF71 hexadecimal = 1100111101110001 binary

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CF72 hexadecimal to binary
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