2FED hexadecimal to binary

Here we will show you how to convert the hexadecimal number 2FED 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 2FED from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 2FED by 16⁰, multiply the second to last digit in 2FED by 16¹, multiply the third to last digit in 2FED by 16², multiply the fourth to last digit in 2FED by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
E × 16¹ = 224
F × 16² = 3840
2 × 16³ = 8192

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 + 224 + 3840 + 8192 = 12269

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.

12269 ÷ 2 = 6134 with 1 remainder
6134 ÷ 2 = 3067 with 0 remainder
3067 ÷ 2 = 1533 with 1 remainder
1533 ÷ 2 = 766 with 1 remainder
766 ÷ 2 = 383 with 0 remainder
383 ÷ 2 = 191 with 1 remainder
191 ÷ 2 = 95 with 1 remainder
95 ÷ 2 = 47 with 1 remainder
47 ÷ 2 = 23 with 1 remainder
23 ÷ 2 = 11 with 1 remainder
11 ÷ 2 = 5 with 1 remainder
5 ÷ 2 = 2 with 1 remainder
2 ÷ 2 = 1 with 0 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 2FED hexadecimal to binary:

2FED hexadecimal = 10111111101101 binary

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2FEE hexadecimal to binary
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