ADB5 hexadecimal to binary

Here we will show you how to convert the hexadecimal number ADB5 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 ADB5 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in ADB5 by 16⁰, multiply the second to last digit in ADB5 by 16¹, multiply the third to last digit in ADB5 by 16², multiply the fourth to last digit in ADB5 by 16³, and so on, until all the digits are used.

5 × 16⁰ = 5
B × 16¹ = 176
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 + 176 + 3328 + 40960 = 44469

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.

44469 ÷ 2 = 22234 with 1 remainder
22234 ÷ 2 = 11117 with 0 remainder
11117 ÷ 2 = 5558 with 1 remainder
5558 ÷ 2 = 2779 with 0 remainder
2779 ÷ 2 = 1389 with 1 remainder
1389 ÷ 2 = 694 with 1 remainder
694 ÷ 2 = 347 with 0 remainder
347 ÷ 2 = 173 with 1 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 ADB5 hexadecimal to binary:

ADB5 hexadecimal = 1010110110110101 binary

Hexadecimal to Binary Converter
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