16. The Boolean function (x+y) ( x + y) (y+z) is equal to which one of the following expressions?

1. 1. (X + Y) ( X + Z)

   
   
   

   2. ( X + Z) (Y + Z)

   
   
   

   3. (X + Y) (Y + Z)

   
   
   

   4. (X + Y) (Y + Z )

   
   
   

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1. View Hint View Answer Discuss in Forum

   F = (X + Y) ( X + Y) (Y + Z)
   So, F = (X + Y). ( X + Z)

   
   

   Correct Option: C

   F = (X + Y) ( X + Y) (Y + Z)
   So, F = (X + Y). ( X + Z)

   
   

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17. The binary number 110011 is to be converted to Gray code. The number of gates and type required are—

1. 1. 6, AND

   
   
   

   2. 6, XNOR

   
   
   

   3. 6, XOR

   
   
   

   4. 5, XOR

   
   
   

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1. View Hint View Answer Discuss in Forum

   We know that for converting binary number into Gray code, we require XOR gate. For converting n bit binary number we require (n–1) XOR gate. So, in order to convert binary number 110011 (i.e., 6 bits) we require 6–1 = 5 XOR gates.

   Correct Option: D

   We know that for converting binary number into Gray code, we require XOR gate. For converting n bit binary number we require (n–1) XOR gate. So, in order to convert binary number 110011 (i.e., 6 bits) we require 6–1 = 5 XOR gates.

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18. For the figure given below—
    
    
    

1. 1. Y = + 255

   
   
   

   2. Y = + 127

   
   
   

   3. Y = + 31

   
   
   

   4. Y = 0

   
   
   

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1. View Hint View Answer Discuss in Forum

   NA

   
   

   Correct Option: B

   NA

   
   

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19. Sequential circuits contains—

1. 1. No memory element

   
   
   

   2. Atleast one memory element

   
   
   

   3. All inputs applied simultaneously

   
   
   

   4. None of these

   
   
   

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1. View Hint View Answer Discuss in Forum

   Sequential circuit contains at least one memory element.

   Correct Option: B

   Sequential circuit contains at least one memory element.

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20. A cascade arrangement of four stages of BCD counters can be used to count a maximum of—
    

1. 1. 1111 pulses
      

   
   
   

   2. 111111111111111 pulses
      

   
   
   

   3. 1001100110011001 pulses
      

   
   
   

   4. 9999 pulses

   
   
   

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1. View Hint View Answer Discuss in Forum

   NA

   Correct Option: D

   NA

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