72EF hexadecimal to binary

Here we will show you how to convert the hexadecimal number 72EF 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 72EF from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 72EF by 16⁰, multiply the second to last digit in 72EF by 16¹, multiply the third to last digit in 72EF by 16², multiply the fourth to last digit in 72EF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
E × 16¹ = 224
2 × 16² = 512
7 × 16³ = 28672

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:

15 + 224 + 512 + 28672 = 29423

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.

29423 ÷ 2 = 14711 with 1 remainder
14711 ÷ 2 = 7355 with 1 remainder
7355 ÷ 2 = 3677 with 1 remainder
3677 ÷ 2 = 1838 with 1 remainder
1838 ÷ 2 = 919 with 0 remainder
919 ÷ 2 = 459 with 1 remainder
459 ÷ 2 = 229 with 1 remainder
229 ÷ 2 = 114 with 1 remainder
114 ÷ 2 = 57 with 0 remainder
57 ÷ 2 = 28 with 1 remainder
28 ÷ 2 = 14 with 0 remainder
14 ÷ 2 = 7 with 0 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 72EF hexadecimal to binary:

72EF hexadecimal = 111001011101111 binary

Hexadecimal to Binary Converter
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