3A99 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 3A99 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 3A99 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 3A99 by 16⁰, multiply the second to last digit in 3A99 by 16¹, multiply the third to last digit in 3A99 by 16², multiply the fourth to last digit in 3A99 by 16³, and so on, until all the digits are used.

9 × 16⁰ = 9
9 × 16¹ = 144
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:

9 + 144 + 2560 + 12288 = 15001

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.

15001 ÷ 2 = 7500 with 1 remainder
7500 ÷ 2 = 3750 with 0 remainder
3750 ÷ 2 = 1875 with 0 remainder
1875 ÷ 2 = 937 with 1 remainder
937 ÷ 2 = 468 with 1 remainder
468 ÷ 2 = 234 with 0 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 3A99 hexadecimal to binary:

3A99 hexadecimal = 11101010011001 binary

Hexadecimal to Binary Converter
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