QUESTION 5:
With 8 bits, there are 28 patterns. What is the largest positive integer that can be represented in 8 bits using base two?
0011 0010 = 5010 ; so 0110 0100 = 10010
Useful Fact: If the number N is represented by a bit pattern
X,
then X0 represents 2N.
If 00110010
represents 5010 ,
then 001100100
represents 10010.
Often you keep the same number of bits in the shifted pattern like this:
01100100 represents 10010.
This is called "shifting left" by one bit. It is often used in hardware to multiply by two. If you must keep the same number of bits (as is usually true for computer hardware) then make sure that no "1" bits are lost on the left.
With 8 bits, there are 28 patterns. What is the largest positive integer that can be represented in 8 bits using base two?