985F hexadecimal to binary

Here we will show you how to convert the hexadecimal number 985F 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 985F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 985F by 16⁰, multiply the second to last digit in 985F by 16¹, multiply the third to last digit in 985F by 16², multiply the fourth to last digit in 985F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
5 × 16¹ = 80
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:

15 + 80 + 2048 + 36864 = 39007

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.

39007 ÷ 2 = 19503 with 1 remainder
19503 ÷ 2 = 9751 with 1 remainder
9751 ÷ 2 = 4875 with 1 remainder
4875 ÷ 2 = 2437 with 1 remainder
2437 ÷ 2 = 1218 with 1 remainder
1218 ÷ 2 = 609 with 0 remainder
609 ÷ 2 = 304 with 1 remainder
304 ÷ 2 = 152 with 0 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 985F hexadecimal to binary:

985F hexadecimal = 1001100001011111 binary

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