7AEE hexadecimal to binary

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

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

E × 16⁰ = 14
E × 16¹ = 224
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:

14 + 224 + 2560 + 28672 = 31470

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.

31470 ÷ 2 = 15735 with 0 remainder
15735 ÷ 2 = 7867 with 1 remainder
7867 ÷ 2 = 3933 with 1 remainder
3933 ÷ 2 = 1966 with 1 remainder
1966 ÷ 2 = 983 with 0 remainder
983 ÷ 2 = 491 with 1 remainder
491 ÷ 2 = 245 with 1 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 7AEE hexadecimal to binary:

7AEE hexadecimal = 111101011101110 binary

Hexadecimal to Binary Converter
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7AEF hexadecimal to binary
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