FE72 hexadecimal to binary

Here we will show you how to convert the hexadecimal number FE72 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 FE72 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in FE72 by 16⁰, multiply the second to last digit in FE72 by 16¹, multiply the third to last digit in FE72 by 16², multiply the fourth to last digit in FE72 by 16³, and so on, until all the digits are used.

2 × 16⁰ = 2
7 × 16¹ = 112
E × 16² = 3584
F × 16³ = 61440

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:

2 + 112 + 3584 + 61440 = 65138

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.

65138 ÷ 2 = 32569 with 0 remainder
32569 ÷ 2 = 16284 with 1 remainder
16284 ÷ 2 = 8142 with 0 remainder
8142 ÷ 2 = 4071 with 0 remainder
4071 ÷ 2 = 2035 with 1 remainder
2035 ÷ 2 = 1017 with 1 remainder
1017 ÷ 2 = 508 with 1 remainder
508 ÷ 2 = 254 with 0 remainder
254 ÷ 2 = 127 with 0 remainder
127 ÷ 2 = 63 with 1 remainder
63 ÷ 2 = 31 with 1 remainder
31 ÷ 2 = 15 with 1 remainder
15 ÷ 2 = 7 with 1 remainder
7 ÷ 2 = 3 with 1 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 FE72 hexadecimal to binary:

FE72 hexadecimal = 1111111001110010 binary

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FE73 hexadecimal to binary
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