181D hexadecimal to binary

Here we will show you how to convert the hexadecimal number 181D 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 181D from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 181D by 16⁰, multiply the second to last digit in 181D by 16¹, multiply the third to last digit in 181D by 16², multiply the fourth to last digit in 181D by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
1 × 16¹ = 16
8 × 16² = 2048
1 × 16³ = 4096

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:

13 + 16 + 2048 + 4096 = 6173

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.

6173 ÷ 2 = 3086 with 1 remainder
3086 ÷ 2 = 1543 with 0 remainder
1543 ÷ 2 = 771 with 1 remainder
771 ÷ 2 = 385 with 1 remainder
385 ÷ 2 = 192 with 1 remainder
192 ÷ 2 = 96 with 0 remainder
96 ÷ 2 = 48 with 0 remainder
48 ÷ 2 = 24 with 0 remainder
24 ÷ 2 = 12 with 0 remainder
12 ÷ 2 = 6 with 0 remainder
6 ÷ 2 = 3 with 0 remainder
3 ÷ 2 = 1 with 1 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 181D hexadecimal to binary:

181D hexadecimal = 1100000011101 binary

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181E hexadecimal to binary
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