481E hexadecimal to binary

Here we will show you how to convert the hexadecimal number 481E 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 481E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 481E by 16⁰, multiply the second to last digit in 481E by 16¹, multiply the third to last digit in 481E by 16², multiply the fourth to last digit in 481E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
1 × 16¹ = 16
8 × 16² = 2048
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:

14 + 16 + 2048 + 16384 = 18462

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.

18462 ÷ 2 = 9231 with 0 remainder
9231 ÷ 2 = 4615 with 1 remainder
4615 ÷ 2 = 2307 with 1 remainder
2307 ÷ 2 = 1153 with 1 remainder
1153 ÷ 2 = 576 with 1 remainder
576 ÷ 2 = 288 with 0 remainder
288 ÷ 2 = 144 with 0 remainder
144 ÷ 2 = 72 with 0 remainder
72 ÷ 2 = 36 with 0 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 481E hexadecimal to binary:

481E hexadecimal = 100100000011110 binary

Hexadecimal to Binary Converter
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481F hexadecimal to binary
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