97DF hexadecimal to binary

Here we will show you how to convert the hexadecimal number 97DF 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 97DF from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 97DF by 16⁰, multiply the second to last digit in 97DF by 16¹, multiply the third to last digit in 97DF by 16², multiply the fourth to last digit in 97DF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
D × 16¹ = 208
7 × 16² = 1792
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:

15 + 208 + 1792 + 36864 = 38879

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.

38879 ÷ 2 = 19439 with 1 remainder
19439 ÷ 2 = 9719 with 1 remainder
9719 ÷ 2 = 4859 with 1 remainder
4859 ÷ 2 = 2429 with 1 remainder
2429 ÷ 2 = 1214 with 1 remainder
1214 ÷ 2 = 607 with 0 remainder
607 ÷ 2 = 303 with 1 remainder
303 ÷ 2 = 151 with 1 remainder
151 ÷ 2 = 75 with 1 remainder
75 ÷ 2 = 37 with 1 remainder
37 ÷ 2 = 18 with 1 remainder
18 ÷ 2 = 9 with 0 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 97DF hexadecimal to binary:

97DF hexadecimal = 1001011111011111 binary

Hexadecimal to Binary Converter
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