C148 hexadecimal to binary

Here we will show you how to convert the hexadecimal number C148 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 C148 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in C148 by 16⁰, multiply the second to last digit in C148 by 16¹, multiply the third to last digit in C148 by 16², multiply the fourth to last digit in C148 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
4 × 16¹ = 64
1 × 16² = 256
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:

8 + 64 + 256 + 49152 = 49480

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.

49480 ÷ 2 = 24740 with 0 remainder
24740 ÷ 2 = 12370 with 0 remainder
12370 ÷ 2 = 6185 with 0 remainder
6185 ÷ 2 = 3092 with 1 remainder
3092 ÷ 2 = 1546 with 0 remainder
1546 ÷ 2 = 773 with 0 remainder
773 ÷ 2 = 386 with 1 remainder
386 ÷ 2 = 193 with 0 remainder
193 ÷ 2 = 96 with 1 remainder
96 ÷ 2 = 48 with 0 remainder
48 ÷ 2 = 24 with 0 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 C148 hexadecimal to binary:

C148 hexadecimal = 1100000101001000 binary

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

C149 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.