BF25 hexadecimal to binary

Here we will show you how to convert the hexadecimal number BF25 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 BF25 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in BF25 by 16⁰, multiply the second to last digit in BF25 by 16¹, multiply the third to last digit in BF25 by 16², multiply the fourth to last digit in BF25 by 16³, and so on, until all the digits are used.

5 × 16⁰ = 5
2 × 16¹ = 32
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:

5 + 32 + 3840 + 45056 = 48933

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.

48933 ÷ 2 = 24466 with 1 remainder
24466 ÷ 2 = 12233 with 0 remainder
12233 ÷ 2 = 6116 with 1 remainder
6116 ÷ 2 = 3058 with 0 remainder
3058 ÷ 2 = 1529 with 0 remainder
1529 ÷ 2 = 764 with 1 remainder
764 ÷ 2 = 382 with 0 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 BF25 hexadecimal to binary:

BF25 hexadecimal = 1011111100100101 binary

Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.

BF26 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.