3069 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 3069 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 3069 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 3069 by 16⁰, multiply the second to last digit in 3069 by 16¹, multiply the third to last digit in 3069 by 16², multiply the fourth to last digit in 3069 by 16³, and so on, until all the digits are used.

9 × 16⁰ = 9
6 × 16¹ = 96
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:

9 + 96 + 0 + 12288 = 12393

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.

12393 ÷ 2 = 6196 with 1 remainder
6196 ÷ 2 = 3098 with 0 remainder
3098 ÷ 2 = 1549 with 0 remainder
1549 ÷ 2 = 774 with 1 remainder
774 ÷ 2 = 387 with 0 remainder
387 ÷ 2 = 193 with 1 remainder
193 ÷ 2 = 96 with 1 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 3069 hexadecimal to binary:

3069 hexadecimal = 11000001101001 binary

Hexadecimal to Binary Converter
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