BF07 hexadecimal to binary

Here we will show you how to convert the hexadecimal number BF07 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 BF07 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in BF07 by 16⁰, multiply the second to last digit in BF07 by 16¹, multiply the third to last digit in BF07 by 16², multiply the fourth to last digit in BF07 by 16³, and so on, until all the digits are used.

7 × 16⁰ = 7
0 × 16¹ = 0
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:

7 + 0 + 3840 + 45056 = 48903

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.

48903 ÷ 2 = 24451 with 1 remainder
24451 ÷ 2 = 12225 with 1 remainder
12225 ÷ 2 = 6112 with 1 remainder
6112 ÷ 2 = 3056 with 0 remainder
3056 ÷ 2 = 1528 with 0 remainder
1528 ÷ 2 = 764 with 0 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 BF07 hexadecimal to binary:

BF07 hexadecimal = 1011111100000111 binary

Hexadecimal to Binary Converter
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