Convert the following hexadecimal

numbers to decimal: a) 0xE4 b) 0x3AC c) 0xFF

a) 228

b) 940

c) 255

Explanation:

To convert a hexadecimal number to decimal, multiply each hex digit by 16^ (position-1) and add the components.

For example, 0x 34 = 3 * 16^ (2-1) + 4*16^ (1-1) = 48 + 4 = 52

Evaluating the given numbers:

a) 0xE4 = >

E corresponds to 14. So the decimal representation is 14*16 + 4 = 228

b) 0x3AC = >

A corresponds to 10 and C to 12. So the decimal representation is 3*16^2 + 10*16 + 12 = 940

c) 0xFF = >

F corresponds to 15. So the decimal representation is 15*16 + 15 = 255