2FE2 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 2FE2 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 2FE2 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 2FE2 by 16⁰, multiply the second to last digit in 2FE2 by 16¹, multiply the third to last digit in 2FE2 by 16², multiply the fourth to last digit in 2FE2 by 16³, and so on, until all the digits are used.

2 × 16⁰ = 2
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:

2 + 224 + 3840 + 8192 = 12258

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.

12258 ÷ 2 = 6129 with 0 remainder
6129 ÷ 2 = 3064 with 1 remainder
3064 ÷ 2 = 1532 with 0 remainder
1532 ÷ 2 = 766 with 0 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 2FE2 hexadecimal to binary:

2FE2 hexadecimal = 10111111100010 binary

Hexadecimal to Binary Converter
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