DAA5 hexadecimal to binary

Here we will show you how to convert the hexadecimal number DAA5 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 DAA5 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in DAA5 by 16⁰, multiply the second to last digit in DAA5 by 16¹, multiply the third to last digit in DAA5 by 16², multiply the fourth to last digit in DAA5 by 16³, and so on, until all the digits are used.

5 × 16⁰ = 5
A × 16¹ = 160
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 + 160 + 2560 + 53248 = 55973

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.

55973 ÷ 2 = 27986 with 1 remainder
27986 ÷ 2 = 13993 with 0 remainder
13993 ÷ 2 = 6996 with 1 remainder
6996 ÷ 2 = 3498 with 0 remainder
3498 ÷ 2 = 1749 with 0 remainder
1749 ÷ 2 = 874 with 1 remainder
874 ÷ 2 = 437 with 0 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 DAA5 hexadecimal to binary:

DAA5 hexadecimal = 1101101010100101 binary

Hexadecimal to Binary Converter
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