97E0 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 97E0 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 97E0 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 97E0 by 16⁰, multiply the second to last digit in 97E0 by 16¹, multiply the third to last digit in 97E0 by 16², multiply the fourth to last digit in 97E0 by 16³, and so on, until all the digits are used.

0 × 16⁰ = 0
E × 16¹ = 224
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:

0 + 224 + 1792 + 36864 = 38880

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.

38880 ÷ 2 = 19440 with 0 remainder
19440 ÷ 2 = 9720 with 0 remainder
9720 ÷ 2 = 4860 with 0 remainder
4860 ÷ 2 = 2430 with 0 remainder
2430 ÷ 2 = 1215 with 0 remainder
1215 ÷ 2 = 607 with 1 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 97E0 hexadecimal to binary:

97E0 hexadecimal = 1001011111100000 binary

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97E1 hexadecimal to binary
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