DAB5 hexadecimal to binary

Here we will show you how to convert the hexadecimal number DAB5 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 DAB5 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in DAB5 by 16⁰, multiply the second to last digit in DAB5 by 16¹, multiply the third to last digit in DAB5 by 16², multiply the fourth to last digit in DAB5 by 16³, and so on, until all the digits are used.

5 × 16⁰ = 5
B × 16¹ = 176
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 + 176 + 2560 + 53248 = 55989

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.

55989 ÷ 2 = 27994 with 1 remainder
27994 ÷ 2 = 13997 with 0 remainder
13997 ÷ 2 = 6998 with 1 remainder
6998 ÷ 2 = 3499 with 0 remainder
3499 ÷ 2 = 1749 with 1 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 DAB5 hexadecimal to binary:

DAB5 hexadecimal = 1101101010110101 binary

Hexadecimal to Binary Converter
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