BEE2 hexadecimal to binary

Here we will show you how to convert the hexadecimal number BEE2 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 BEE2 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in BEE2 by 16⁰, multiply the second to last digit in BEE2 by 16¹, multiply the third to last digit in BEE2 by 16², multiply the fourth to last digit in BEE2 by 16³, and so on, until all the digits are used.

2 × 16⁰ = 2
E × 16¹ = 224
E × 16² = 3584
B × 16³ = 45056

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 + 3584 + 45056 = 48866

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.

48866 ÷ 2 = 24433 with 0 remainder
24433 ÷ 2 = 12216 with 1 remainder
12216 ÷ 2 = 6108 with 0 remainder
6108 ÷ 2 = 3054 with 0 remainder
3054 ÷ 2 = 1527 with 0 remainder
1527 ÷ 2 = 763 with 1 remainder
763 ÷ 2 = 381 with 1 remainder
381 ÷ 2 = 190 with 1 remainder
190 ÷ 2 = 95 with 0 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 BEE2 hexadecimal to binary:

BEE2 hexadecimal = 1011111011100010 binary

Hexadecimal to Binary Converter
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