BF7E hexadecimal to binary

Here we will show you how to convert the hexadecimal number BF7E 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 BF7E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in BF7E by 16⁰, multiply the second to last digit in BF7E by 16¹, multiply the third to last digit in BF7E by 16², multiply the fourth to last digit in BF7E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
7 × 16¹ = 112
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:

14 + 112 + 3840 + 45056 = 49022

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.

49022 ÷ 2 = 24511 with 0 remainder
24511 ÷ 2 = 12255 with 1 remainder
12255 ÷ 2 = 6127 with 1 remainder
6127 ÷ 2 = 3063 with 1 remainder
3063 ÷ 2 = 1531 with 1 remainder
1531 ÷ 2 = 765 with 1 remainder
765 ÷ 2 = 382 with 1 remainder
382 ÷ 2 = 191 with 0 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 BF7E hexadecimal to binary:

BF7E hexadecimal = 1011111101111110 binary

Hexadecimal to Binary Converter
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BF7F hexadecimal to binary
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