3AAA hexadecimal to binary

Here we will show you how to convert the hexadecimal number 3AAA 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 3AAA from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 3AAA by 16⁰, multiply the second to last digit in 3AAA by 16¹, multiply the third to last digit in 3AAA by 16², multiply the fourth to last digit in 3AAA by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
A × 16¹ = 160
A × 16² = 2560
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:

10 + 160 + 2560 + 12288 = 15018

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.

15018 ÷ 2 = 7509 with 0 remainder
7509 ÷ 2 = 3754 with 1 remainder
3754 ÷ 2 = 1877 with 0 remainder
1877 ÷ 2 = 938 with 1 remainder
938 ÷ 2 = 469 with 0 remainder
469 ÷ 2 = 234 with 1 remainder
234 ÷ 2 = 117 with 0 remainder
117 ÷ 2 = 58 with 1 remainder
58 ÷ 2 = 29 with 0 remainder
29 ÷ 2 = 14 with 1 remainder
14 ÷ 2 = 7 with 0 remainder
7 ÷ 2 = 3 with 1 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 3AAA hexadecimal to binary:

3AAA hexadecimal = 11101010101010 binary

Hexadecimal to Binary Converter
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3AAB hexadecimal to binary
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