BEFB hexadecimal to binary

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

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

B × 16⁰ = 11
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:

11 + 240 + 3584 + 45056 = 48891

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.

48891 ÷ 2 = 24445 with 1 remainder
24445 ÷ 2 = 12222 with 1 remainder
12222 ÷ 2 = 6111 with 0 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 BEFB hexadecimal to binary:

BEFB hexadecimal = 1011111011111011 binary

Hexadecimal to Binary Converter
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BEFC hexadecimal to binary
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