DAD5 hexadecimal to binary

Here we will show you how to convert the hexadecimal number DAD5 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 DAD5 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in DAD5 by 16⁰, multiply the second to last digit in DAD5 by 16¹, multiply the third to last digit in DAD5 by 16², multiply the fourth to last digit in DAD5 by 16³, and so on, until all the digits are used.

5 × 16⁰ = 5
D × 16¹ = 208
A × 16² = 2560
D × 16³ = 53248

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 + 208 + 2560 + 53248 = 56021

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.

56021 ÷ 2 = 28010 with 1 remainder
28010 ÷ 2 = 14005 with 0 remainder
14005 ÷ 2 = 7002 with 1 remainder
7002 ÷ 2 = 3501 with 0 remainder
3501 ÷ 2 = 1750 with 1 remainder
1750 ÷ 2 = 875 with 0 remainder
875 ÷ 2 = 437 with 1 remainder
437 ÷ 2 = 218 with 1 remainder
218 ÷ 2 = 109 with 0 remainder
109 ÷ 2 = 54 with 1 remainder
54 ÷ 2 = 27 with 0 remainder
27 ÷ 2 = 13 with 1 remainder
13 ÷ 2 = 6 with 1 remainder
6 ÷ 2 = 3 with 0 remainder
3 ÷ 2 = 1 with 1 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 DAD5 hexadecimal to binary:

DAD5 hexadecimal = 1101101011010101 binary

Hexadecimal to Binary Converter
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