AADE hexadecimal to binary

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

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

E × 16⁰ = 14
D × 16¹ = 208
A × 16² = 2560
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 + 208 + 2560 + 40960 = 43742

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.

43742 ÷ 2 = 21871 with 0 remainder
21871 ÷ 2 = 10935 with 1 remainder
10935 ÷ 2 = 5467 with 1 remainder
5467 ÷ 2 = 2733 with 1 remainder
2733 ÷ 2 = 1366 with 1 remainder
1366 ÷ 2 = 683 with 0 remainder
683 ÷ 2 = 341 with 1 remainder
341 ÷ 2 = 170 with 1 remainder
170 ÷ 2 = 85 with 0 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 AADE hexadecimal to binary:

AADE hexadecimal = 1010101011011110 binary

Hexadecimal to Binary Converter
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