98F hexadecimal to binary

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

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

F × 16⁰ = 15
8 × 16¹ = 128
9 × 16² = 2304

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 + 128 + 2304 = 2447

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.

2447 ÷ 2 = 1223 with 1 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 98F hexadecimal to binary:

98F hexadecimal = 100110001111 binary

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