B4BF hexadecimal to binary

Here we will show you how to convert the hexadecimal number B4BF 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 B4BF from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B4BF by 16⁰, multiply the second to last digit in B4BF by 16¹, multiply the third to last digit in B4BF by 16², multiply the fourth to last digit in B4BF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
B × 16¹ = 176
4 × 16² = 1024
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 + 176 + 1024 + 45056 = 46271

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.

46271 ÷ 2 = 23135 with 1 remainder
23135 ÷ 2 = 11567 with 1 remainder
11567 ÷ 2 = 5783 with 1 remainder
5783 ÷ 2 = 2891 with 1 remainder
2891 ÷ 2 = 1445 with 1 remainder
1445 ÷ 2 = 722 with 1 remainder
722 ÷ 2 = 361 with 0 remainder
361 ÷ 2 = 180 with 1 remainder
180 ÷ 2 = 90 with 0 remainder
90 ÷ 2 = 45 with 0 remainder
45 ÷ 2 = 22 with 1 remainder
22 ÷ 2 = 11 with 0 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 B4BF hexadecimal to binary:

B4BF hexadecimal = 1011010010111111 binary

Hexadecimal to Binary Converter
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