CA8F hexadecimal to binary

Here we will show you how to convert the hexadecimal number CA8F 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 CA8F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in CA8F by 16⁰, multiply the second to last digit in CA8F by 16¹, multiply the third to last digit in CA8F by 16², multiply the fourth to last digit in CA8F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
8 × 16¹ = 128
A × 16² = 2560
C × 16³ = 49152

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 + 128 + 2560 + 49152 = 51855

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.

51855 ÷ 2 = 25927 with 1 remainder
25927 ÷ 2 = 12963 with 1 remainder
12963 ÷ 2 = 6481 with 1 remainder
6481 ÷ 2 = 3240 with 1 remainder
3240 ÷ 2 = 1620 with 0 remainder
1620 ÷ 2 = 810 with 0 remainder
810 ÷ 2 = 405 with 0 remainder
405 ÷ 2 = 202 with 1 remainder
202 ÷ 2 = 101 with 0 remainder
101 ÷ 2 = 50 with 1 remainder
50 ÷ 2 = 25 with 0 remainder
25 ÷ 2 = 12 with 1 remainder
12 ÷ 2 = 6 with 0 remainder
6 ÷ 2 = 3 with 0 remainder
3 ÷ 2 = 1 with 1 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 CA8F hexadecimal to binary:

CA8F hexadecimal = 1100101010001111 binary

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

CA90 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.