78FE hexadecimal to binary

Here we will show you how to convert the hexadecimal number 78FE 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 78FE from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 78FE by 16⁰, multiply the second to last digit in 78FE by 16¹, multiply the third to last digit in 78FE by 16², multiply the fourth to last digit in 78FE by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
F × 16¹ = 240
8 × 16² = 2048
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:

14 + 240 + 2048 + 28672 = 30974

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.

30974 ÷ 2 = 15487 with 0 remainder
15487 ÷ 2 = 7743 with 1 remainder
7743 ÷ 2 = 3871 with 1 remainder
3871 ÷ 2 = 1935 with 1 remainder
1935 ÷ 2 = 967 with 1 remainder
967 ÷ 2 = 483 with 1 remainder
483 ÷ 2 = 241 with 1 remainder
241 ÷ 2 = 120 with 1 remainder
120 ÷ 2 = 60 with 0 remainder
60 ÷ 2 = 30 with 0 remainder
30 ÷ 2 = 15 with 0 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 78FE hexadecimal to binary:

78FE hexadecimal = 111100011111110 binary

Hexadecimal to Binary Converter
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78FF hexadecimal to binary
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