180k views
4 votes
Convert the following hexadecimal

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

1 Answer

3 votes

Answer:

a) 228

b) 940

c) 255

Step-by-step 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

User RAHUL S R
by
5.1k points