ABEE hexadecimal to binary

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

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

E × 16⁰ = 14
E × 16¹ = 224
B × 16² = 2816
A × 16³ = 40960

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:

14 + 224 + 2816 + 40960 = 44014

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.

44014 ÷ 2 = 22007 with 0 remainder
22007 ÷ 2 = 11003 with 1 remainder
11003 ÷ 2 = 5501 with 1 remainder
5501 ÷ 2 = 2750 with 1 remainder
2750 ÷ 2 = 1375 with 0 remainder
1375 ÷ 2 = 687 with 1 remainder
687 ÷ 2 = 343 with 1 remainder
343 ÷ 2 = 171 with 1 remainder
171 ÷ 2 = 85 with 1 remainder
85 ÷ 2 = 42 with 1 remainder
42 ÷ 2 = 21 with 0 remainder
21 ÷ 2 = 10 with 1 remainder
10 ÷ 2 = 5 with 0 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 ABEE hexadecimal to binary:

ABEE hexadecimal = 1010101111101110 binary

Hexadecimal to Binary Converter
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ABEF hexadecimal to binary
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