498F hexadecimal to binary

Here we will show you how to convert the hexadecimal number 498F 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 498F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 498F by 16⁰, multiply the second to last digit in 498F by 16¹, multiply the third to last digit in 498F by 16², multiply the fourth to last digit in 498F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
8 × 16¹ = 128
9 × 16² = 2304
4 × 16³ = 16384

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 + 16384 = 18831

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.

18831 ÷ 2 = 9415 with 1 remainder
9415 ÷ 2 = 4707 with 1 remainder
4707 ÷ 2 = 2353 with 1 remainder
2353 ÷ 2 = 1176 with 1 remainder
1176 ÷ 2 = 588 with 0 remainder
588 ÷ 2 = 294 with 0 remainder
294 ÷ 2 = 147 with 0 remainder
147 ÷ 2 = 73 with 1 remainder
73 ÷ 2 = 36 with 1 remainder
36 ÷ 2 = 18 with 0 remainder
18 ÷ 2 = 9 with 0 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 498F hexadecimal to binary:

498F hexadecimal = 100100110001111 binary

Hexadecimal to Binary Converter
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