3005 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 3005 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 3005 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 3005 by 16⁰, multiply the second to last digit in 3005 by 16¹, multiply the third to last digit in 3005 by 16², multiply the fourth to last digit in 3005 by 16³, and so on, until all the digits are used.

5 × 16⁰ = 5
0 × 16¹ = 0
0 × 16² = 0
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:

5 + 0 + 0 + 12288 = 12293

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.

12293 ÷ 2 = 6146 with 1 remainder
6146 ÷ 2 = 3073 with 0 remainder
3073 ÷ 2 = 1536 with 1 remainder
1536 ÷ 2 = 768 with 0 remainder
768 ÷ 2 = 384 with 0 remainder
384 ÷ 2 = 192 with 0 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 3005 hexadecimal to binary:

3005 hexadecimal = 11000000000101 binary

Hexadecimal to Binary Converter
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