3118 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 3118 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 3118 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 3118 by 16⁰, multiply the second to last digit in 3118 by 16¹, multiply the third to last digit in 3118 by 16², multiply the fourth to last digit in 3118 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
1 × 16¹ = 16
1 × 16² = 256
3 × 16³ = 12288

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:

8 + 16 + 256 + 12288 = 12568

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.

12568 ÷ 2 = 6284 with 0 remainder
6284 ÷ 2 = 3142 with 0 remainder
3142 ÷ 2 = 1571 with 0 remainder
1571 ÷ 2 = 785 with 1 remainder
785 ÷ 2 = 392 with 1 remainder
392 ÷ 2 = 196 with 0 remainder
196 ÷ 2 = 98 with 0 remainder
98 ÷ 2 = 49 with 0 remainder
49 ÷ 2 = 24 with 1 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 3118 hexadecimal to binary:

3118 hexadecimal = 11000100011000 binary

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3119 hexadecimal to binary
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