
Here we will show you how to convert the hexadecimal number 3323 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 3323 from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in 3323 by 16⁰, multiply the second to last digit in 3323 by 16¹, multiply the third to last digit in 3323 by 16², multiply the fourth to last digit in 3323 by 16³, and so on, until all the digits are used.
3 × 16⁰ = 3
2 × 16¹ = 32
3 × 16² = 768
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:
3 + 32 + 768 + 12288 = 13091
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.
13091 ÷ 2 = 6545 with 1 remainder
6545 ÷ 2 = 3272 with 1 remainder
3272 ÷ 2 = 1636 with 0 remainder
1636 ÷ 2 = 818 with 0 remainder
818 ÷ 2 = 409 with 0 remainder
409 ÷ 2 = 204 with 1 remainder
204 ÷ 2 = 102 with 0 remainder
102 ÷ 2 = 51 with 0 remainder
51 ÷ 2 = 25 with 1 remainder
25 ÷ 2 = 12 with 1 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 3323 hexadecimal to binary:
3323 hexadecimal = 11001100100011 binary
Hexadecimal to Binary Converter
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3324 hexadecimal to binary
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