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Chapter 1

This 3 sentence summary provides the key details about the homework assignment: The homework assignment involves 5 problems related to digital logic design, including converting between number bases, performing 2's complement subtraction, proving Boolean identities through algebraic manipulation, simplifying a Boolean expression for a logic circuit, and determining the output waveform. Students must complete the problems sequentially, include page numbers and missing problems in an index, and submit their work by October 11th at 10:00 AM for grading.

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Seemab Ramzan
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25 views2 pages

Chapter 1

This 3 sentence summary provides the key details about the homework assignment: The homework assignment involves 5 problems related to digital logic design, including converting between number bases, performing 2's complement subtraction, proving Boolean identities through algebraic manipulation, simplifying a Boolean expression for a logic circuit, and determining the output waveform. Students must complete the problems sequentially, include page numbers and missing problems in an index, and submit their work by October 11th at 10:00 AM for grading.

Uploaded by

Seemab Ramzan
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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School of Electrical Engineering and Computer Science

National University of Sciences & Technology (NUST)


Home Assignment No-1[CLO1]
Subject: Digital Logic Design Marks: 100
Course: BEE-14CD Issue: 06 Oct 2023
Teacher: Engr. Arshad Nazir Due on: 11 Oct 2023
Note: (10:00 AM)
 Attempt the given problem set in a sequential order and make submissions in
syndicates.
 Make an index showing summary of the problems solved with page numbers and
also specify the missing ones.
 No late submissions will be accepted unless a prior approval from the teacher is
obtained with extremely genuine reasons. The assignments submitted after the
due date/time will be graded zero.
 Assignments copied from other syndicates will be marked zero.
 10 marks are reserved for neat and clean work, table of contents, and sequential
attempts.
______________________________________________________________________
Problem No-1 Convert the following numbers from the given base to the indicated bases in
the table:
Decimal Binary Octal Hexadec
369.3125 ? ? ?
? 10111101.101 ? ?
? ? 326.5 ?
? ? ? F3C7.A

Problem No-2 Perform the subtraction A-B on the following signed binary numbers using 2’s
complement method. Indicate if an overflow occurs. Verify your result through
decimal arithmetic.
A=11101000.112; B=100000002
Express the answer in 12-bit sign-magnitude, sign-1’s complement and sign-
2’s complement form.

Problem No-3 Prove the identity of the following Boolean equation, using algebraic
manipulation:
CD+AB´+AC+A´C´+A´B+C´D´=(A´+B´+C+D´)(A+B+C´+D)

Problem No-4 Prove the identity of the following Boolean equations, using algebraic
manipulation:-
(A+B΄)(B+C΄)(C+D΄)(D+A΄)= (A΄+B)(B΄+C)(C΄+D)(D΄+A)
(Use Consensus theorem only)

Problem No-5 Write the simplified output Boolean expression X for the circuit of Figure P5
and use it to determine the complete truth table. Then apply the waveform
sketched below to the circuit inputs, and draw the resulting output waveform
without gate delays. Express the function in sum-of-minterms (SSOP) and
product-of-maxterms (SPOS) in both short notation and algebraic forms.

Figure P5 Logic Circuit and input waveforms


______________________________________________________________________
“Good Luck”

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