982F hexadecimal to binary

Here we will show you how to convert the hexadecimal number 982F 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 982F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 982F by 16⁰, multiply the second to last digit in 982F by 16¹, multiply the third to last digit in 982F by 16², multiply the fourth to last digit in 982F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
2 × 16¹ = 32
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 + 32 + 2048 + 36864 = 38959

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.

38959 ÷ 2 = 19479 with 1 remainder
19479 ÷ 2 = 9739 with 1 remainder
9739 ÷ 2 = 4869 with 1 remainder
4869 ÷ 2 = 2434 with 1 remainder
2434 ÷ 2 = 1217 with 0 remainder
1217 ÷ 2 = 608 with 1 remainder
608 ÷ 2 = 304 with 0 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 982F hexadecimal to binary:

982F hexadecimal = 1001100000101111 binary

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