FEAD hexadecimal to binary

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

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

D × 16⁰ = 13
A × 16¹ = 160
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:

13 + 160 + 3584 + 61440 = 65197

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.

65197 ÷ 2 = 32598 with 1 remainder
32598 ÷ 2 = 16299 with 0 remainder
16299 ÷ 2 = 8149 with 1 remainder
8149 ÷ 2 = 4074 with 1 remainder
4074 ÷ 2 = 2037 with 0 remainder
2037 ÷ 2 = 1018 with 1 remainder
1018 ÷ 2 = 509 with 0 remainder
509 ÷ 2 = 254 with 1 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 FEAD hexadecimal to binary:

FEAD hexadecimal = 1111111010101101 binary

Hexadecimal to Binary Converter
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