AD15 hexadecimal to binary

Here we will show you how to convert the hexadecimal number AD15 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 AD15 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in AD15 by 16⁰, multiply the second to last digit in AD15 by 16¹, multiply the third to last digit in AD15 by 16², multiply the fourth to last digit in AD15 by 16³, and so on, until all the digits are used.

5 × 16⁰ = 5
1 × 16¹ = 16
D × 16² = 3328
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:

5 + 16 + 3328 + 40960 = 44309

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.

44309 ÷ 2 = 22154 with 1 remainder
22154 ÷ 2 = 11077 with 0 remainder
11077 ÷ 2 = 5538 with 1 remainder
5538 ÷ 2 = 2769 with 0 remainder
2769 ÷ 2 = 1384 with 1 remainder
1384 ÷ 2 = 692 with 0 remainder
692 ÷ 2 = 346 with 0 remainder
346 ÷ 2 = 173 with 0 remainder
173 ÷ 2 = 86 with 1 remainder
86 ÷ 2 = 43 with 0 remainder
43 ÷ 2 = 21 with 1 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 AD15 hexadecimal to binary:

AD15 hexadecimal = 1010110100010101 binary

Hexadecimal to Binary Converter
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