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A final exam for a logic circuits course at philadelphia university. It covers a range of topics related to digital systems, binary number systems, boolean algebra, logic gates, combinational and sequential circuits. The exam consists of multiple-choice questions, as well as questions that require the student to design and analyze logic circuits. Insights into the key concepts and skills that are assessed in this course, and could be useful for students preparing for similar exams or looking to review the fundamental principles of digital logic design.
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This document provides a comprehensive study guide for the Final Exam in Logic Design, which was held on 24/01/2016 at the Islamic University. The exam was administered by Dr. Ali Khawaldeh and Dr. Qadri Hamarsheh, and it covered various topics related to digital systems, binary number systems, Boolean algebra, logic gates, Boolean expression simplification, Karnaugh maps, and combinational and sequential circuits.
A digital system with 3 inputs and 2 outputs has the following configuration: a) 2 inputs and 2 outputs b) 2 inputs and 3 outputs c) 3 inputs and 2 outputs d) 3 inputs and 3 outputs
The Boolean expression A+BC is equivalent to: a) (A'+B)(A'+C) b) (A+B)(A+C) c) (A+B)(A'+C) d) (A+B)C
The following expression is in the product-of-sums form: a) (A + B)(C + D) b) (AB)(CD) c) AB(CD) d) AB + CD
The output Y of the given circuit has the following status: a) LOW b) HIGH c) Don't Care d) Cannot be determined
A circuit that converts n inputs to 2^n outputs is called a: a) Encoder b) Decoder c) Comparator d) Multiplexer
The characteristic equation of a D flip-flop is: a) Q = 1 b) Q = 0 c) Q = D' d) Q = D
A JK flip-flop can be implemented using a D flip-flop connected such that: a) D = J'Q + KQ' b) D = J'Q' + KQ c) D = JQ' + K'Q d) D = J'Q + KQ'
After shifting the register five times to the right with the serial input being 10100101, the content of the register is: a) 1010 b) 1001 c) 0010 d) 0100
Question 2
a) Draw a combinational logic circuit that implements the given Boolean function. b) Draw a truth table for the given Boolean function. c) Write a
sum-of-products representation of the output Y. d) Write a product-of-sums representation of the output Y.
Question 3
Solve the given combinatorial circuit defined by the three Boolean functions.
Question 4
Write the state table of the given sequential circuit.
Question 5
a) Write the state table of the sequential circuit described by the given state equations. b) Construct the excitation/transition table from the excitation/ transition equations using two JK flip-flops. c) Derive the excitation (input) equations using K-map.
Question 6
Design a 3-bit counter that counts in the sequence: 001, 011, 010, 110, 111, 101, 001, ... using clocked D flip-flops.