a)  If Eric piays golf then Oscar plays tennis.
b)  : if Oscar does not play tennis then Eric plays golf.
c)  : it is not true that Eric plays golf or Oscar plays tennis.
Or: Eric does not play golf and Oscar does not play tennis. (From De Morgan's laws)

We build the truth tables for the two propositions. and compare.
For the proposition  we have

For the proposition  we have

We see that the last columns in the truth tables of  and  are the same.
Hence  and  are
logically equivalent and we write

We build the truth tables for  and  and compare to see if they are exactly the same.
For the truth table of , see solved problem 2 above. Hence we build the truth table for  thus

 We see that the last columns in the truth tables of the propositions  and  are different hence  and  are not logically equivalent.

This proposition has three statements:  and  ; so we shall have 8 possibilities.
We shall first compute  before

i)

 ii) We see that the proposition  is always true.
Hence it is a tautology.

Applying change of base we have

a) Some examples of microcomputers i.e. PC (Personal Computers) are:

>        Desktop PC                                                                                               

>        Laptop PC

>        Tower PC

>        Handheld PC                                                                                                 

>        Palmtop PC

b) An embedded computer or microcontroller is a type computing machine with a specialize microprocessor but is not an independent computer. Some examples of embedded computers are calculators, watches, digital camera, digital television, microwave ovens, photocopiers etc.

a) Some examples of microcomputers i.e. PC (Personal Computers) are:

>        Desktop PC                                                                                               

>        Laptop PC

>        Tower PC

>        Handheld PC                                                                                                 

>        Palmtop PC

b) An embedded computer or microcontroller is a type computing machine with a specialize microprocessor but is not an independent computer. Some examples of embedded computers are calculators, watches, digital camera, digital television, microwave ovens, photocopiers etc.

a)

> Classification of computers based on generation: here we have five main generations which are first, second, third, fourth and fifth generations.

>        Classification of computers based on application: here computers can be grouped into general purpose and dedicated computéis.

NB: Differentiate between general purpose and dedicated computers. (2marks)

General purpose computers are designed to carry out a wide variety of tasks such as word processing, accounting, database etc. while dedicated computers are designed to carry out only one task or job for example weather forecasting.

>        Classification of computers based on data representation: here computers can be grouped into digital, analog and hybrid computers.

>        Classification of computers based on function: here computers can be grouped into centralized computer systems (i.e. resources are centralized on one machine or computer), stand-alone computers (i.e, computers do not share it resources) and distributed computing systems (i.e. each user has access to the computing power of the machine they are using and certain resources can be shared for example files and printing senders.

>        Classification of computers based on size or performance:

b) Supercomputers

Mainframes

Minicomputers

Microcomputers

Embedded computers