C48F hexadecimal to binary

Here we will show you how to convert the hexadecimal number C48F 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 C48F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in C48F by 16⁰, multiply the second to last digit in C48F by 16¹, multiply the third to last digit in C48F by 16², multiply the fourth to last digit in C48F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
8 × 16¹ = 128
4 × 16² = 1024
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 + 1024 + 49152 = 50319

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.

50319 ÷ 2 = 25159 with 1 remainder
25159 ÷ 2 = 12579 with 1 remainder
12579 ÷ 2 = 6289 with 1 remainder
6289 ÷ 2 = 3144 with 1 remainder
3144 ÷ 2 = 1572 with 0 remainder
1572 ÷ 2 = 786 with 0 remainder
786 ÷ 2 = 393 with 0 remainder
393 ÷ 2 = 196 with 1 remainder
196 ÷ 2 = 98 with 0 remainder
98 ÷ 2 = 49 with 0 remainder
49 ÷ 2 = 24 with 1 remainder
24 ÷ 2 = 12 with 0 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 C48F hexadecimal to binary:

C48F hexadecimal = 1100010010001111 binary

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