1810 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 1810 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 1810 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 1810 by 16⁰, multiply the second to last digit in 1810 by 16¹, multiply the third to last digit in 1810 by 16², multiply the fourth to last digit in 1810 by 16³, and so on, until all the digits are used.

0 × 16⁰ = 0
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:

0 + 16 + 2048 + 4096 = 6160

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.

6160 ÷ 2 = 3080 with 0 remainder
3080 ÷ 2 = 1540 with 0 remainder
1540 ÷ 2 = 770 with 0 remainder
770 ÷ 2 = 385 with 0 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 1810 hexadecimal to binary:

1810 hexadecimal = 1100000010000 binary

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1811 hexadecimal to binary
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