BFA3 hexadecimal to binary

Here we will show you how to convert the hexadecimal number BFA3 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 BFA3 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in BFA3 by 16⁰, multiply the second to last digit in BFA3 by 16¹, multiply the third to last digit in BFA3 by 16², multiply the fourth to last digit in BFA3 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
A × 16¹ = 160
F × 16² = 3840
B × 16³ = 45056

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 + 160 + 3840 + 45056 = 49059

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.

49059 ÷ 2 = 24529 with 1 remainder
24529 ÷ 2 = 12264 with 1 remainder
12264 ÷ 2 = 6132 with 0 remainder
6132 ÷ 2 = 3066 with 0 remainder
3066 ÷ 2 = 1533 with 0 remainder
1533 ÷ 2 = 766 with 1 remainder
766 ÷ 2 = 383 with 0 remainder
383 ÷ 2 = 191 with 1 remainder
191 ÷ 2 = 95 with 1 remainder
95 ÷ 2 = 47 with 1 remainder
47 ÷ 2 = 23 with 1 remainder
23 ÷ 2 = 11 with 1 remainder
11 ÷ 2 = 5 with 1 remainder
5 ÷ 2 = 2 with 1 remainder
2 ÷ 2 = 1 with 0 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 BFA3 hexadecimal to binary:

BFA3 hexadecimal = 1011111110100011 binary

Hexadecimal to Binary Converter
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