98AB hexadecimal to binary

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

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

B × 16⁰ = 11
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:

11 + 160 + 2048 + 36864 = 39083

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.

39083 ÷ 2 = 19541 with 1 remainder
19541 ÷ 2 = 9770 with 1 remainder
9770 ÷ 2 = 4885 with 0 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 98AB hexadecimal to binary:

98AB hexadecimal = 1001100010101011 binary

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98AC hexadecimal to binary
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