Convert the following: (A2B.1A)16 = (?)10

To convert a hexadecimal number to a decimal number, you need to understand the base values of each system. Hexadecimal is a base-16 system, meaning it has 16 digits: 0-9 and A-F. Decimal is a base-10 system, meaning it has 10 digits: 0-9.

The conversion process involves multiplying each digit of the hexadecimal number by 16 raised to the power of its position, starting from 0 on the rightmost side (after the decimal point, the power becomes negative).

Let's break down the hexadecimal number (A2B.1A)16:

Position	Hexadecimal Digit	Decimal Equivalent	Calculation
2	A	10	10*16^2
1	2	2	2*16^1
0	B	11	11*16^0
-1	1	1	1*16^-1
-2	A	10	10*16^-2

Now, let's perform the calculations:

• For position 2: 10 * (16^2) = 2560
• For position 1: 2 * (16^1) = 32
• For position 0: 11 * (16^0) = 11
• For position -1: 1 * (16^-1) = 0.0625
• For position -2: 10 * (16^-2) = 0.0390625

Finally, add all these values together:

2560 + 32 + 11 + 0.0625 + 0.0390625 = 2603.1015625

So, (A2B.1A)16 = (2603.1015625)10.