98E8 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 98E8 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 98E8 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 98E8 by 16⁰, multiply the second to last digit in 98E8 by 16¹, multiply the third to last digit in 98E8 by 16², multiply the fourth to last digit in 98E8 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
E × 16¹ = 224
8 × 16² = 2048
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:

8 + 224 + 2048 + 36864 = 39144

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.

39144 ÷ 2 = 19572 with 0 remainder
19572 ÷ 2 = 9786 with 0 remainder
9786 ÷ 2 = 4893 with 0 remainder
4893 ÷ 2 = 2446 with 1 remainder
2446 ÷ 2 = 1223 with 0 remainder
1223 ÷ 2 = 611 with 1 remainder
611 ÷ 2 = 305 with 1 remainder
305 ÷ 2 = 152 with 1 remainder
152 ÷ 2 = 76 with 0 remainder
76 ÷ 2 = 38 with 0 remainder
38 ÷ 2 = 19 with 0 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 98E8 hexadecimal to binary:

98E8 hexadecimal = 1001100011101000 binary

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98E9 hexadecimal to binary
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