Hexadecimal to decimal
(4D.C8)
I assume that you have a "heximal" point in there
4D.C8
= 4(16) + 13 + 12/16 + 8/16^2
= 77 + .75 + .03125
= 77.78125
To convert a hexadecimal number to decimal, you can use the following steps:
1. Write down the hexadecimal number (4D.C8).
2. Split the number into its whole number part and fractional part (if present). In this case, the whole number part is 4D and the fractional part is C8.
3. Convert the whole number part to decimal. The digits in a hexadecimal number have the following decimal equivalents: 0 = 0, 1 = 1, 2 = 2, 3 = 3, 4 = 4, 5 = 5, 6 = 6, 7 = 7, 8 = 8, 9 = 9, A = 10, B = 11, C = 12, D = 13, E = 14, F = 15.
In our case, the whole number part is 4D.
The digit '4' has a decimal equivalent of 4.
The digit 'D' has a decimal equivalent of 13.
To convert the whole number part, multiply each digit by 16 raised to the power of its position (starting from 0 for the rightmost digit) and then sum them up.
4D in decimal = (4 x 16^1) + (13 x 16^0) = 64 + 13 = 77.
So, the whole number part 4D in hexadecimal is equal to 77 in decimal.
4. Convert the fractional part to decimal. The process is the same, but this time, instead of raising 16 to the power of the position, you raise it to the power of negative position starting from -1 for the leftmost digit after the decimal point.
In our case, the fractional part is C8.
The digit 'C' has a decimal equivalent of 12.
The digit '8' has a decimal equivalent of 8.
To convert the fractional part, multiply each digit by 16 raised to the power of its negative position and then sum them up.
C8 in decimal = (12 x 16^-1) + (8 x 16^-2) = (12 / 16) + (8 / 256) = 0.75 + 0.03125 = 0.78125.
So, the fractional part C8 in hexadecimal is equal to 0.78125 in decimal.
5. Combine the whole number and fractional part to get the final decimal result.
The hexadecimal number (4D.C8) in decimal is equal to 77.78125.
To convert a hexadecimal number to decimal, you can follow these steps:
Step 1: Write down the hexadecimal number.
In this case, the hexadecimal number is (4D.C8).
Step 2: Multiply each digit of the hexadecimal number by the corresponding power of 16.
Starting from the rightmost digit, assign the powers of 16 in increasing order from 0.
For our example, we have:
(Digit 1) x 16^0 + (Digit 2) x 16^1 + (Digit 3) x 16^2 + (Digit 4) x 16^3
Step 3: Convert each hexadecimal digit to its decimal equivalent.
Hexadecimal digits 0-9 have the same values in decimal. For the letters A-F, assign decimal values starting from 10 for A, 11 for B, and so on.
For our example, the decimal equivalences are:
4 x 16^0 + 13 x 16^1 + 12 x 16^2 + 8 x 16^3
Step 4: Perform the calculations.
Multiply each digit by the corresponding power of 16 and sum them up.
For our example:
4 x 16^0 = 4 x 1 = 4
13 x 16^1 = 13 x 16 = 208
12 x 16^2 = 12 x 256 = 3072
8 x 16^3 = 8 x 4096 = 32768
Summing them up:
4 + 208 + 3072 + 32768 = 35852
Therefore, the decimal equivalent of (4D.C8) in hexadecimal is 35852.