9FDA hexadecimal to binary

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

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

A × 16⁰ = 10
D × 16¹ = 208
F × 16² = 3840
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 + 208 + 3840 + 36864 = 40922

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.

40922 ÷ 2 = 20461 with 0 remainder
20461 ÷ 2 = 10230 with 1 remainder
10230 ÷ 2 = 5115 with 0 remainder
5115 ÷ 2 = 2557 with 1 remainder
2557 ÷ 2 = 1278 with 1 remainder
1278 ÷ 2 = 639 with 0 remainder
639 ÷ 2 = 319 with 1 remainder
319 ÷ 2 = 159 with 1 remainder
159 ÷ 2 = 79 with 1 remainder
79 ÷ 2 = 39 with 1 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 9FDA hexadecimal to binary:

9FDA hexadecimal = 1001111111011010 binary

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9FDB hexadecimal to binary
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