9DAA hexadecimal to binary

Here we will show you how to convert the hexadecimal number 9DAA 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 9DAA from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 9DAA by 16⁰, multiply the second to last digit in 9DAA by 16¹, multiply the third to last digit in 9DAA by 16², multiply the fourth to last digit in 9DAA by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
A × 16¹ = 160
D × 16² = 3328
9 × 16³ = 36864

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:

10 + 160 + 3328 + 36864 = 40362

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.

40362 ÷ 2 = 20181 with 0 remainder
20181 ÷ 2 = 10090 with 1 remainder
10090 ÷ 2 = 5045 with 0 remainder
5045 ÷ 2 = 2522 with 1 remainder
2522 ÷ 2 = 1261 with 0 remainder
1261 ÷ 2 = 630 with 1 remainder
630 ÷ 2 = 315 with 0 remainder
315 ÷ 2 = 157 with 1 remainder
157 ÷ 2 = 78 with 1 remainder
78 ÷ 2 = 39 with 0 remainder
39 ÷ 2 = 19 with 1 remainder
19 ÷ 2 = 9 with 1 remainder
9 ÷ 2 = 4 with 1 remainder
4 ÷ 2 = 2 with 0 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 9DAA hexadecimal to binary:

9DAA hexadecimal = 1001110110101010 binary

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9DAB hexadecimal to binary
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