BEFF hexadecimal to binary

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

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

F × 16⁰ = 15
F × 16¹ = 240
E × 16² = 3584
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:

15 + 240 + 3584 + 45056 = 48895

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.

48895 ÷ 2 = 24447 with 1 remainder
24447 ÷ 2 = 12223 with 1 remainder
12223 ÷ 2 = 6111 with 1 remainder
6111 ÷ 2 = 3055 with 1 remainder
3055 ÷ 2 = 1527 with 1 remainder
1527 ÷ 2 = 763 with 1 remainder
763 ÷ 2 = 381 with 1 remainder
381 ÷ 2 = 190 with 1 remainder
190 ÷ 2 = 95 with 0 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 BEFF hexadecimal to binary:

BEFF hexadecimal = 1011111011111111 binary

Hexadecimal to Binary Converter
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