1
GATE ECE 2017 Set 1
MCQ (Single Correct Answer)
+2
-0.6
Which one of the following gives the simplified sum of products expression for the Boolean function $$F = {m_0} + {m_2} + {m_3} + {m_5},$$ where $$F = {m_0} + {m_2} + {m_3} + {m_5},$$ are minterms corresponding to the inputs A, B and C with A as the MSB and C as the LSB?
A
$$\overline A B + \,\overline A \,\overline B \,\overline C + \,A\overline B \,C$$
B
$$\overline A \,\overline C + \overline A B + A\overline B C$$
C
$$\overline A \,\overline C + A\,\overline B + A\overline B C$$
D
$$\overline A \,BC + \overline A \,\overline C + A\,\overline B C$$
2
GATE ECE 2017 Set 1
Numerical
+2
-0
A 4-bit shift register circuit configured for right-shift operation is $${D_{in}}\, \to \,A,\,A\, \to B,\,B \to C,\,C \to D,$$ is shown. If the present state of the shift register is ABCD = 1101, the number of clock cycles required to reach the state ABCD = 1111 is GATE ECE 2017 Set 1 Digital Circuits - Sequential Circuits Question 31 English
Your input ____
3
GATE ECE 2017 Set 1
Numerical
+1
-0
Consider the D-Latch shown in the figure, which is transparent when its clock input CK is high and has zero propagation delay. In the figure, the clock signal CLK1 has a 50% duty cycle and CLK2 is a one-fifth period delayed version of CLK1. The duty cycle at the output latch in percentage is ___________. GATE ECE 2017 Set 1 Digital Circuits - Sequential Circuits Question 56 English 1 GATE ECE 2017 Set 1 Digital Circuits - Sequential Circuits Question 56 English 2
Your input ____
4
GATE ECE 2017 Set 1
MCQ (Single Correct Answer)
+2
-0.6
A finite state machine (FSM) is implemented using the D flip-flops A and B and logic gates, as shown in the figure below. The four possible states of the FSM are QA QB = 00, 01, 10, and 11. GATE ECE 2017 Set 1 Digital Circuits - Sequential Circuits Question 30 English

Assume that XIN is held at a logic level throughout the operation of the FSM. When the FSM is initialized to the state QA QB = 100 and clocked, after a few clock cycles, it starts cycling through

A
all of the four possible states if XIN = 1
B
three of the four possible states if XIN = 0
C
only two of the four possible states if XIN =1
D
only two of the possible states if XIN = 0