
Here we will show you how to convert the hexadecimal number D49B 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 D49B from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in D49B by 16⁰, multiply the second to last digit in D49B by 16¹, multiply the third to last digit in D49B by 16², multiply the fourth to last digit in D49B by 16³, and so on, until all the digits are used.
B × 16⁰ = 11
9 × 16¹ = 144
4 × 16² = 1024
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:
11 + 144 + 1024 + 53248 = 54427
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.
54427 ÷ 2 = 27213 with 1 remainder
27213 ÷ 2 = 13606 with 1 remainder
13606 ÷ 2 = 6803 with 0 remainder
6803 ÷ 2 = 3401 with 1 remainder
3401 ÷ 2 = 1700 with 1 remainder
1700 ÷ 2 = 850 with 0 remainder
850 ÷ 2 = 425 with 0 remainder
425 ÷ 2 = 212 with 1 remainder
212 ÷ 2 = 106 with 0 remainder
106 ÷ 2 = 53 with 0 remainder
53 ÷ 2 = 26 with 1 remainder
26 ÷ 2 = 13 with 0 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 D49B hexadecimal to binary:
D49B hexadecimal = 1101010010011011 binary
Hexadecimal to Binary Converter
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D49C hexadecimal to binary
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