Digital Logic Design Past paper 2016 FALL UOS

University of Sargodha
Paper: Digital Logic and Computer Design
Fall 2016
Date: Jan 18, 2016
Duration: 2 Hours
Total Marks: 50

Objective Part

Q1.

I. Convert the following decimal number into binary?
  1000011

II. Convert Hexadecimal (1234) to decimal?

III. Subtract by using 2’s complements.
  110111 – 111000

IV. Implement the logic circuit from the given Boolean expression. Do not use AND, OR, and NOT Gates.
  X = A̅B̅ + AB̅

V. Convert the following decimal number into binary?
  9999

VI. Represent the decimal number 1011 into BCD?

VII. Define the combinational Logic?

VIII. Subtract by using 1’s complement.
  101111 – 10011

IX. Convert the given decimal value into BCD code.
  1011

X. Prove that exclusive-OR is the complement of exclusive-NOR?

(Each question carries 1 mark × 10 = 10 marks)

Subjective Part

(Each question carries 10 marks × 4 = 40 marks)

Q2. Implement the following function using multiplexer?
  F = ∑(0, 1, 3, 5, 6, 8, 10, 11, 13, 15)

Q3. You are requested to design a logic circuit for convertible top Ferrari motors; they are facing problems with the convertible roof. In Alaska a deadly accident resulted due to convertible roof.
NOTS (National Organization for Traffic Safety) has a study on Ferrari Cars accidents and found that four major reasons are a cause of 99% accidents.

a) Speed exceeding 100 miles/hr.
b) Lights are ON
c) Temperature more than 40 degree Celsius