B3FA hexadecimal to binary

Here we will show you how to convert the hexadecimal number B3FA 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 B3FA from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B3FA by 16⁰, multiply the second to last digit in B3FA by 16¹, multiply the third to last digit in B3FA by 16², multiply the fourth to last digit in B3FA by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
F × 16¹ = 240
3 × 16² = 768
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:

10 + 240 + 768 + 45056 = 46074

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.

46074 ÷ 2 = 23037 with 0 remainder
23037 ÷ 2 = 11518 with 1 remainder
11518 ÷ 2 = 5759 with 0 remainder
5759 ÷ 2 = 2879 with 1 remainder
2879 ÷ 2 = 1439 with 1 remainder
1439 ÷ 2 = 719 with 1 remainder
719 ÷ 2 = 359 with 1 remainder
359 ÷ 2 = 179 with 1 remainder
179 ÷ 2 = 89 with 1 remainder
89 ÷ 2 = 44 with 1 remainder
44 ÷ 2 = 22 with 0 remainder
22 ÷ 2 = 11 with 0 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 B3FA hexadecimal to binary:

B3FA hexadecimal = 1011001111111010 binary

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B3FB hexadecimal to binary
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