1
GATE CSE 1990
MCQ (Single Correct Answer)
+2
-0.6
Two $$NAND$$ gates having open collector outputs are tied together as shown in fig. The logic function $$Y,$$ implemented by the circuit is. GATE CSE 1990 Digital Logic - Boolean Algebra Question 17 English
A
$$Y = A\overline {BC} + \overline {DE} $$
B
$$Y = ABC + DE$$
C
$$Y = \overline {ABC} .\overline {DE} $$
D
$$Y = ABC\,.\,DE$$
2
GATE CSE 1990
Fill in the Blanks
+2
-0
Fill in the blanks:
In the two bit full-adder/sub tractor unit shown in Fig., when the switch is in position $$2.$$ $$.....$$ using $$.....$$ arithmetic. GATE CSE 1990 Digital Logic - Combinational Circuits Question 10 English
3
GATE CSE 1990
MCQ (Single Correct Answer)
+5
-1.5
For the synchronous counter shown in fig. write the truth table of $${Q_0},\,\,{Q_1}$$ and $${Q_2}$$ after each pulse starting from $${Q_0} = {Q_1} = {Q_2} = 0$$ and determine the counting sequenced also the modulus of the counter GATE CSE 1990 Digital Logic - Sequential Circuits Question 9 English

What is the modules of the counter with initial state $${Q_2}\,{Q_1}\,{Q_0} = 000$$

A
$$3$$
B
$$4$$
C
$$5$$
D
$$6$$
4
GATE CSE 1990
MCQ (Single Correct Answer)
+2
-0.6
Indicate which of the following well-formed formula are valid:
A
$$\left( {\left( {{\rm P} \Rightarrow Q} \right) \wedge \left( {Q \Rightarrow R} \right)} \right) \Rightarrow \left( {{\rm P} \Rightarrow R} \right).$$
B
$$\left( {{\rm P} \Rightarrow Q} \right) \Rightarrow \left( { \sim P \Rightarrow \sim Q} \right)$$
C
$$\left( {{\rm P}\, \wedge \,\left( { \sim {\rm P}\,\,V \sim Q} \right)} \right) \Rightarrow Q\left( { \sim {\rm P} \Rightarrow \sim Q} \right)$$
D
$$\left( {\left( {{\rm P} \Rightarrow R} \right) \vee \left( {Q \Rightarrow R} \right)} \right) \Rightarrow \left( {\left( {\left( {{\rm P} \vee Q} \right) \Rightarrow R} \right)} \right)$$
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