F7B3 hexadecimal to binary

Here we will show you how to convert the hexadecimal number F7B3 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 F7B3 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F7B3 by 16⁰, multiply the second to last digit in F7B3 by 16¹, multiply the third to last digit in F7B3 by 16², multiply the fourth to last digit in F7B3 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
B × 16¹ = 176
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:

3 + 176 + 1792 + 61440 = 63411

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.

63411 ÷ 2 = 31705 with 1 remainder
31705 ÷ 2 = 15852 with 1 remainder
15852 ÷ 2 = 7926 with 0 remainder
7926 ÷ 2 = 3963 with 0 remainder
3963 ÷ 2 = 1981 with 1 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 F7B3 hexadecimal to binary:

F7B3 hexadecimal = 1111011110110011 binary

Hexadecimal to Binary Converter
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