B3F hexadecimal to binary

Here we will show you how to convert the hexadecimal number B3F 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 B3F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B3F by 16⁰, multiply the second to last digit in B3F by 16¹, multiply the third to last digit in B3F by 16², multiply the fourth to last digit in B3F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
3 × 16¹ = 48
B × 16² = 2816

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:

15 + 48 + 2816 = 2879

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.

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 B3F hexadecimal to binary:

B3F hexadecimal = 101100111111 binary

Hexadecimal to Binary Converter
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