7AA4 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 7AA4 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 7AA4 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 7AA4 by 16⁰, multiply the second to last digit in 7AA4 by 16¹, multiply the third to last digit in 7AA4 by 16², multiply the fourth to last digit in 7AA4 by 16³, and so on, until all the digits are used.

4 × 16⁰ = 4
A × 16¹ = 160
A × 16² = 2560
7 × 16³ = 28672

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:

4 + 160 + 2560 + 28672 = 31396

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.

31396 ÷ 2 = 15698 with 0 remainder
15698 ÷ 2 = 7849 with 0 remainder
7849 ÷ 2 = 3924 with 1 remainder
3924 ÷ 2 = 1962 with 0 remainder
1962 ÷ 2 = 981 with 0 remainder
981 ÷ 2 = 490 with 1 remainder
490 ÷ 2 = 245 with 0 remainder
245 ÷ 2 = 122 with 1 remainder
122 ÷ 2 = 61 with 0 remainder
61 ÷ 2 = 30 with 1 remainder
30 ÷ 2 = 15 with 0 remainder
15 ÷ 2 = 7 with 1 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 7AA4 hexadecimal to binary:

7AA4 hexadecimal = 111101010100100 binary

Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.

7AA5 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.