F7A2 hexadecimal to binary

Here we will show you how to convert the hexadecimal number F7A2 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 F7A2 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F7A2 by 16⁰, multiply the second to last digit in F7A2 by 16¹, multiply the third to last digit in F7A2 by 16², multiply the fourth to last digit in F7A2 by 16³, and so on, until all the digits are used.

2 × 16⁰ = 2
A × 16¹ = 160
7 × 16² = 1792
F × 16³ = 61440

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:

2 + 160 + 1792 + 61440 = 63394

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.

63394 ÷ 2 = 31697 with 0 remainder
31697 ÷ 2 = 15848 with 1 remainder
15848 ÷ 2 = 7924 with 0 remainder
7924 ÷ 2 = 3962 with 0 remainder
3962 ÷ 2 = 1981 with 0 remainder
1981 ÷ 2 = 990 with 1 remainder
990 ÷ 2 = 495 with 0 remainder
495 ÷ 2 = 247 with 1 remainder
247 ÷ 2 = 123 with 1 remainder
123 ÷ 2 = 61 with 1 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 F7A2 hexadecimal to binary:

F7A2 hexadecimal = 1111011110100010 binary

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