ENG-241 Assignment #4
School of Engineering,University of Guelph
Due Date: Week #5 in the Tutorial
Answer all questions.
1. Extract the truth table of the following problem, give the boolean expression for “F” and sketch the
“The function has 3 inputs (X,Y,Z), and one output “F”. The output F is equal to “1” only when
both “X” and “Y” are diﬀerent in value while “Z” is equal to “1”. (Note: X is the most signiﬁcant
digit of the input).
2. Design a combinational circuit that detects an error in the representation of a decimal digit in BCD.
In other words, obtain a logic diagram whose output is equal to 1 when the inputs contain any one
of the six unused bit combinations in the BCD code.
(a) Derive the truth table.
(b) Use K-Maps to minimize the logic.
(c) Derive the boolean expression.
(d) Draw the logic diagram.
3. A majority function is generated in a combinational circuit when