B4DF hexadecimal to binary

Here we will show you how to convert the hexadecimal number B4DF 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 B4DF from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B4DF by 16⁰, multiply the second to last digit in B4DF by 16¹, multiply the third to last digit in B4DF by 16², multiply the fourth to last digit in B4DF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
D × 16¹ = 208
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 + 208 + 1024 + 45056 = 46303

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.

46303 ÷ 2 = 23151 with 1 remainder
23151 ÷ 2 = 11575 with 1 remainder
11575 ÷ 2 = 5787 with 1 remainder
5787 ÷ 2 = 2893 with 1 remainder
2893 ÷ 2 = 1446 with 1 remainder
1446 ÷ 2 = 723 with 0 remainder
723 ÷ 2 = 361 with 1 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 B4DF hexadecimal to binary:

B4DF hexadecimal = 1011010011011111 binary

Hexadecimal to Binary Converter
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