Components of computer: Computer has four major components, they are: Central processing unit (CPU) Memory unit Input devices Output devices Central Processing Unit (CPU): CPU plays the key role in a computer by carrying out instructions of a computer program. It performs all the basic logic, arithmetic, controlling and input/output operations that are specified by the instructions. The CPU comprises of two units, Arithmetic logic unit (ALU) and control unit (CU). Memory unit: Once computer program instructions are converted into machine code by CPU, the machine code is stored in memory. Then the CPU fetches the required data and instructions from memory, perform the required operations and then sends the result and next set of instructions back to memory. Input devices: The devices used by the user to feed information to computer, such as a hard drive, keyboard, or a networking card. These devices get the data from outside world into computer in the way that human eyes and ears bring the data to brain. Output devices: Output devices are used by computer to deliver information to user, such as a monitor, printer, and speaker. The CPU takes machine code present in memory and converts it into a format that is required by monitor’s hardware. Then the monitor’s hardware converts that information into different light intensities so that you see words or pictures.

Question

[5 marks] Give a recursive definition for the language anb2n where n = 1, 2, 3, ... over the alphabet Ó={a, b}. 2) [12 marks] Consider the following languages over the alphabet ={a ,b}, (i) The language of all words that begin and end an a (ii) The language where every a in a word is immediately followed by at least one b. (a) Express each as a Regular Expression (b) Draw an FA for each language (c) For Language (i), draw a TG using at most 3 states (d) For Language (ii), construct a CFG.

Answer 1

Question

Chapter 3, Problem 1CTQ2

Program Plan Intro

Components of computer:

Computer has four major components, they are:

Central processing unit (CPU)

Memory unit

Input devices

Output devices

Central Processing Unit (CPU):

CPU plays the key role in a computer by carrying out instructions of a computer program.

It performs all the basic logic, arithmetic, controlling and input/output operations that are specified by the instructions.

The CPU comprises of two units, Arithmetic logic unit (ALU) and control unit (CU).

Memory unit:

Once computer program instructions are converted into machine code by CPU, the machine code is stored in memory.

Then the CPU fetches the required data and instructions from memory, perform the required operations and then sends the result and next set of instructions back to memory.

Input devices:

The devices used by the user to feed information to computer, such as a hard drive, keyboard, or a networking card.

These devices get the data from outside world into computer in the way that human eyes and ears bring the data to brain.

Output devices:

Output devices are used by computer to deliver information to user, such as a monitor, printer, and speaker.

The CPU takes machine code present in memory and converts it into a format that is required by monitor’s hardware.

Then the monitor’s hardware converts that information into different light intensities so that you see words or pictures.

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