98AC hexadecimal to binary

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

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

C × 16⁰ = 12
A × 16¹ = 160
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:

12 + 160 + 2048 + 36864 = 39084

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.

39084 ÷ 2 = 19542 with 0 remainder
19542 ÷ 2 = 9771 with 0 remainder
9771 ÷ 2 = 4885 with 1 remainder
4885 ÷ 2 = 2442 with 1 remainder
2442 ÷ 2 = 1221 with 0 remainder
1221 ÷ 2 = 610 with 1 remainder
610 ÷ 2 = 305 with 0 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 98AC hexadecimal to binary:

98AC hexadecimal = 1001100010101100 binary

Hexadecimal to Binary Converter
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