Philadelphia Universityfaculty of Information Technology

Philadelphia UniversityFaculty of Information Technology

Coordinator:Dr. Hasan Al-RefaiDepartment of Computer Science

Internal Examiner: Prof. Dr. MohammedMahafzah Examination Paper

750231: Computer Logic DesignAcademic Year 2014/2015FirstSemester

Second ExamTime: 50 Minutes 5thMay, 2015

Information for Candidates

This examination paper contains 5questions, totalling 20marks.
The marks for parts of questions are shown in round brackets.

Advice to Candidates

1. You should attempt all questions.

2. You should write your answers clearly.

I. Basic Notions

Objectives: The aim of the questions in this part is to evaluate the required minimal student knowledge and skills. Answers in the pass category represent the minimum acceptable standard.

Question 1: (3 Marks, 1 Mark Each)

Select the correct answer for the following multiple choice questions:

1)A device which converts Hexadecimal numbers to Binarynumbers is called

a)Encoder

b)Decoder

c)Multiplexer

d)Demultiplexer

2)The BCD representation of the decimal number (26) is

a)00100110

b)01011001

c)10001001

d)01001101

3)How many “Enable” inputs should be used to connect 8 decoders in order to build a larger decoder?

a)2

b)5

c)3

d)6

II. Familiar Problems Solving

Objectives: The aim of the questions in this part is to evaluate that the student has some basic knowledge ofthe key aspects of the lecture material and can attempt to solve familiar problems

Question 2: (3 marks)

Obtain the canonical product of the sum form of the following function.

F (A, B, C) = (A + B′) (B + C) (A + C′)

Question 3: (5marks)

Given the following function F(w, x, y, z) = ∑(3,6,7,9, 11,12,13, 14, 15)

1)Simplify the expression into sum of products using Karnaugh map.

2)If found that the function has don’t care conditions where d=∑ m (8, 10), simplify the expression into product of sumsusing the proper don’t-care conditions.

Question 4: (3 marks)

A combinational circuit is defined by the following Boolean function:

F1 (A, B) = A' B +A B + A B'

1)Design the circuit with a decoder and external gates. (Note: you are not allowed to use decoder block)

Question 5: (3 marks)

Design a 32x1 multiplexer using two 16x1 multiplexers and one 2x1 multiplexer. (Use blocks diagrams).

Unfamiliar Problems Solving

Objectives: The aim of the questions in this part is to evaluate that the student can solve familiar problems with ease and can make progress towards the solution of unfamiliar problems, and can set out reasoning and explanation in a clear and coherent manner.

Question 5 :( 3marks)

Design a (4-bit) full Subtractor using full adders and additional gates.

Good Luck