AA14 hexadecimal to binary

Here we will show you how to convert the hexadecimal number AA14 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 AA14 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in AA14 by 16⁰, multiply the second to last digit in AA14 by 16¹, multiply the third to last digit in AA14 by 16², multiply the fourth to last digit in AA14 by 16³, and so on, until all the digits are used.

4 × 16⁰ = 4
1 × 16¹ = 16
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:

4 + 16 + 2560 + 40960 = 43540

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.

43540 ÷ 2 = 21770 with 0 remainder
21770 ÷ 2 = 10885 with 0 remainder
10885 ÷ 2 = 5442 with 1 remainder
5442 ÷ 2 = 2721 with 0 remainder
2721 ÷ 2 = 1360 with 1 remainder
1360 ÷ 2 = 680 with 0 remainder
680 ÷ 2 = 340 with 0 remainder
340 ÷ 2 = 170 with 0 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 AA14 hexadecimal to binary:

AA14 hexadecimal = 1010101000010100 binary

Hexadecimal to Binary Converter
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