FEB hexadecimal to binary

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

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

B × 16⁰ = 11
E × 16¹ = 224
F × 16² = 3840

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:

11 + 224 + 3840 = 4075

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.

4075 ÷ 2 = 2037 with 1 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 FEB hexadecimal to binary:

FEB hexadecimal = 111111101011 binary

Hexadecimal to Binary Converter
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FEC hexadecimal to binary
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