4BAF hexadecimal to binary

Here we will show you how to convert the hexadecimal number 4BAF 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 4BAF from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 4BAF by 16⁰, multiply the second to last digit in 4BAF by 16¹, multiply the third to last digit in 4BAF by 16², multiply the fourth to last digit in 4BAF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
A × 16¹ = 160
B × 16² = 2816
4 × 16³ = 16384

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 + 160 + 2816 + 16384 = 19375

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.

19375 ÷ 2 = 9687 with 1 remainder
9687 ÷ 2 = 4843 with 1 remainder
4843 ÷ 2 = 2421 with 1 remainder
2421 ÷ 2 = 1210 with 1 remainder
1210 ÷ 2 = 605 with 0 remainder
605 ÷ 2 = 302 with 1 remainder
302 ÷ 2 = 151 with 0 remainder
151 ÷ 2 = 75 with 1 remainder
75 ÷ 2 = 37 with 1 remainder
37 ÷ 2 = 18 with 1 remainder
18 ÷ 2 = 9 with 0 remainder
9 ÷ 2 = 4 with 1 remainder
4 ÷ 2 = 2 with 0 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 4BAF hexadecimal to binary:

4BAF hexadecimal = 100101110101111 binary

Hexadecimal to Binary Converter
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