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UNIT 1 & 2 Review 
Quiz
RULES 
● There are 3 teams (A,B,C) 
● Each Team is handed a Question Which They can Answer 
ONLY AFTER they complete all the sub-questions on a slide. 
● Only One of the TWO people from a Team can ANSWER. 
● Each team gets 3 min to answer a question. 
● 1 min is allotted after each question for explanation of answer. 
● Each Question Earns You :10 points 
● Wrong answer : -5 points and PASS = -2 points 
● NOISE of any kind earns you -2 points :)
RULES 
● There are 3 teams (A,B,C) 
● Each Team is handed a Question Which They can Answer 
ONLY AFTER they complete all the sub-questions on a slide. 
● Only One of the TWO people from a Team can ANSWER. 
● Each team gets 3 min to answer a question. 
● 1 min is allotted after each question for explanation of answer. 
● Each Question Earns You :10 points 
● Wrong answer : -5 points and PASS = -2 points 
● NOISE of any kind earns you -2 points :)
Question 1 
The DECIMAL number 279 can be represented in 
EXCESS-3 CODE As : 
1. 001001111001 
2. 100010111 
3. 010110101100 
4. 100011010
ANSWER
Question 2 
Fill in the blanks : 
1. Gray Code belongs to a class of codes called _____ 
change codes. 
2. _________is also called Cyclic Code. 
3. To form a ____ number, simply represent each 
decimal in the form of a nibble. 
4. The logic expression AB+A'B' can be implemented 
by giving inputs A and B to a ______ gate
ANSWER 
Fill in the blanks : 
1. Gray Code belongs to a class of codes called 
UNIBIT/MINIMUM change codes. 
2. GRAY CODE is also called Cyclic Code. 
3.To form a BCD number, simply represent each 
decimal in the form of a nibble. 
4.The logic expression AB+A'B' can be implemented 
by giving inputs A and B to a X-NOR gate
Question 3 
Given a Function : 
F=A+ B’C 
F is given in SOP or standard form. 
Express this F in : 
a) Canonical Form 
b) Minimised SOP form
ANSWER
Question 4 
Fill in the Blanks : 
1. Sum of MIN terms of a 3 bit FULL ADDER are 
___________. 
1. 9’s complement of GRAY CODE of Digit 3 is _____
ANSWER
Question 5 
1. The parity of the binary number 100110011 is : 
a) even b) odd c) 1 d)0 
2. IF there are n variables for a function F , the total 
number of Minterms for F is ?
ANSWER 
1. The parity of the binary number 
100110011 is : 
b) odd 
2. IF there are n variables for a function F , 
the total number of Minterms for F is 2^n. 
As a variable can only be complimented or 
not. So two choices * n times.
Question 6 
Find the Number of PRIME implicants and ESSENTIAL 
and NON ESSENTIAL PRIME implicants in the following 
KMAP :
ANSWER 
● No of Implicants : 4 
● No of Prime Implicants : 4 
● No of ESSENTIAL Prime implicants : 
1,2,3 ----- > 3 
● No of NON essential PI : 4 or 5 -->2 
● Function can therefore be 1+2+3+4 or 
1+2+3+5 
● We can see therefore that all EPI are 
included but only one out of 2 NEPI 
Included for the minimization of function
Question 7 
Find the Number of implicants ,PRIME implicants, 
ESSENTIAL and NON ESSENTIAL PRIME implicants in 
the following KMAP :
ANSWER 
● No of prime 
implicants : 4 
● No of EPI :4 
● No of NEPI : 0
Question 8 
1. Decoders are used to __________ information from 
1 code to another. 
2. Decoder is many inputs to few outputs (T/F) 
3. Decoder with enabled input is called ______ 
4. Data Lines in a DEMUX are more than select lines 
(T/F) 
5. D3 and D6 bits are set high in encoder. Priority Goes 
to __________.
Question 8 
1. Decoders are used to __________ information from 
1 code to another. 
2. Decoder is many inputs to few outputs (T/F) 
3. Decoder with enabled input is called ______ 
4. Data Lines in a DEMUX are more than select lines 
(T/F) 
5. D3 and D6 bits are set high in encoder. Priority Goes 
to __________(Assuming highest priority goes to 
D7).
ANSWER 
1. Decoders are used to CONVERT information from 
1 code to another. 
2. Decoder is many inputs to few outputs (F) 
3. Decoder with enabled input is called DEMUX 
4. Data Lines in a DEMUX are more than select lines 
(F) 
5. D3 and D6 bits are set high in encoder. Priority 
Goes to D6.
Question 9 
Which is the better way to map and minimize a Function 
shown . A or B ?
ANSWER
Question 10 
We define the carry propagate and carry generate as: 
Pi = Ai + Bi 
Gi = AiBi 
Show that the output carry and output sum of a full adder 
becomes: 
Ci+1 = (Ci’ Gi’ + Pi’)’ 
Si = (PiGi’)⊕ Ci
Quiz on Digital Logic and Combinatorial Circuits
Question 11 
Implement a full adder using two 
4 X 1 multiplexers
Quiz on Digital Logic and Combinatorial Circuits
Question 12 
Construct 5 to 32 line decoder with 4, 3 to 8 
line decoder with enable and a 2 to 4 line 
decoder.
Quiz on Digital Logic and Combinatorial Circuits
Question 13 
Design a 4 input priority encoder with input D0 
having the highest priority and input D3 
having the lowest priority
Quiz on Digital Logic and Combinatorial Circuits
Question 14 
A MUX with 4 bit data select input is: 
a) 4:1 MUX 
b) 8:1 MUX 
c) 16:1 MUX 
d) 32:1 MUX
ANSWER 
c) 16:1 MUX
QQuueessttiioonn 1155 
8:1 MUX has i/p A,B,C Connected to selection inputs like 
S0,S1,S2.The data inputs IO to I7 are as follows : 
I1=I2=I7=0 I3=I5=1 
I0=I4=D I6=D’ 
Determine boolean function with MUX implemented.
Answer
The END
By : 
Aarti Jivrajani 
Debarati Das

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Quiz on Digital Logic and Combinatorial Circuits

  • 1. UNIT 1 & 2 Review Quiz
  • 2. RULES ● There are 3 teams (A,B,C) ● Each Team is handed a Question Which They can Answer ONLY AFTER they complete all the sub-questions on a slide. ● Only One of the TWO people from a Team can ANSWER. ● Each team gets 3 min to answer a question. ● 1 min is allotted after each question for explanation of answer. ● Each Question Earns You :10 points ● Wrong answer : -5 points and PASS = -2 points ● NOISE of any kind earns you -2 points :)
  • 3. RULES ● There are 3 teams (A,B,C) ● Each Team is handed a Question Which They can Answer ONLY AFTER they complete all the sub-questions on a slide. ● Only One of the TWO people from a Team can ANSWER. ● Each team gets 3 min to answer a question. ● 1 min is allotted after each question for explanation of answer. ● Each Question Earns You :10 points ● Wrong answer : -5 points and PASS = -2 points ● NOISE of any kind earns you -2 points :)
  • 4. Question 1 The DECIMAL number 279 can be represented in EXCESS-3 CODE As : 1. 001001111001 2. 100010111 3. 010110101100 4. 100011010
  • 6. Question 2 Fill in the blanks : 1. Gray Code belongs to a class of codes called _____ change codes. 2. _________is also called Cyclic Code. 3. To form a ____ number, simply represent each decimal in the form of a nibble. 4. The logic expression AB+A'B' can be implemented by giving inputs A and B to a ______ gate
  • 7. ANSWER Fill in the blanks : 1. Gray Code belongs to a class of codes called UNIBIT/MINIMUM change codes. 2. GRAY CODE is also called Cyclic Code. 3.To form a BCD number, simply represent each decimal in the form of a nibble. 4.The logic expression AB+A'B' can be implemented by giving inputs A and B to a X-NOR gate
  • 8. Question 3 Given a Function : F=A+ B’C F is given in SOP or standard form. Express this F in : a) Canonical Form b) Minimised SOP form
  • 10. Question 4 Fill in the Blanks : 1. Sum of MIN terms of a 3 bit FULL ADDER are ___________. 1. 9’s complement of GRAY CODE of Digit 3 is _____
  • 12. Question 5 1. The parity of the binary number 100110011 is : a) even b) odd c) 1 d)0 2. IF there are n variables for a function F , the total number of Minterms for F is ?
  • 13. ANSWER 1. The parity of the binary number 100110011 is : b) odd 2. IF there are n variables for a function F , the total number of Minterms for F is 2^n. As a variable can only be complimented or not. So two choices * n times.
  • 14. Question 6 Find the Number of PRIME implicants and ESSENTIAL and NON ESSENTIAL PRIME implicants in the following KMAP :
  • 15. ANSWER ● No of Implicants : 4 ● No of Prime Implicants : 4 ● No of ESSENTIAL Prime implicants : 1,2,3 ----- > 3 ● No of NON essential PI : 4 or 5 -->2 ● Function can therefore be 1+2+3+4 or 1+2+3+5 ● We can see therefore that all EPI are included but only one out of 2 NEPI Included for the minimization of function
  • 16. Question 7 Find the Number of implicants ,PRIME implicants, ESSENTIAL and NON ESSENTIAL PRIME implicants in the following KMAP :
  • 17. ANSWER ● No of prime implicants : 4 ● No of EPI :4 ● No of NEPI : 0
  • 18. Question 8 1. Decoders are used to __________ information from 1 code to another. 2. Decoder is many inputs to few outputs (T/F) 3. Decoder with enabled input is called ______ 4. Data Lines in a DEMUX are more than select lines (T/F) 5. D3 and D6 bits are set high in encoder. Priority Goes to __________.
  • 19. Question 8 1. Decoders are used to __________ information from 1 code to another. 2. Decoder is many inputs to few outputs (T/F) 3. Decoder with enabled input is called ______ 4. Data Lines in a DEMUX are more than select lines (T/F) 5. D3 and D6 bits are set high in encoder. Priority Goes to __________(Assuming highest priority goes to D7).
  • 20. ANSWER 1. Decoders are used to CONVERT information from 1 code to another. 2. Decoder is many inputs to few outputs (F) 3. Decoder with enabled input is called DEMUX 4. Data Lines in a DEMUX are more than select lines (F) 5. D3 and D6 bits are set high in encoder. Priority Goes to D6.
  • 21. Question 9 Which is the better way to map and minimize a Function shown . A or B ?
  • 23. Question 10 We define the carry propagate and carry generate as: Pi = Ai + Bi Gi = AiBi Show that the output carry and output sum of a full adder becomes: Ci+1 = (Ci’ Gi’ + Pi’)’ Si = (PiGi’)⊕ Ci
  • 25. Question 11 Implement a full adder using two 4 X 1 multiplexers
  • 27. Question 12 Construct 5 to 32 line decoder with 4, 3 to 8 line decoder with enable and a 2 to 4 line decoder.
  • 29. Question 13 Design a 4 input priority encoder with input D0 having the highest priority and input D3 having the lowest priority
  • 31. Question 14 A MUX with 4 bit data select input is: a) 4:1 MUX b) 8:1 MUX c) 16:1 MUX d) 32:1 MUX
  • 33. QQuueessttiioonn 1155 8:1 MUX has i/p A,B,C Connected to selection inputs like S0,S1,S2.The data inputs IO to I7 are as follows : I1=I2=I7=0 I3=I5=1 I0=I4=D I6=D’ Determine boolean function with MUX implemented.
  • 36. By : Aarti Jivrajani Debarati Das