First question is compulsory

Answer any four questions from the remaining questions

All questions carry equal marks

1. (a) List different types of ROMS

(b)Differentiate static and dynamic RAMS

©give the truth table foot 3-bit serial in serial out shift register

(d)List any two applications of counters

(e)Differentiate between encoder and decoder

(f)Implement AND logic using NAND gates only

(g)Write HDL code for NAND logic

2.   (a) Convert  the following numbers with the indicated bases to decimal (12121)3(4310)5;(50)7 and(198)12

(b)noting in that 32=9,formulate a simple procedure for converting base -3 numbers directory to base-9 use the procedure to convert (2110201102220112)3to base-9

3.  (a)using a demorgans  theorem, convert the following Boolean expressions to equivalent expression so that have only OR  and complement operations. Show   that the functions can be implement with logic diagrams that have only OR gates and inverters

(i)f= x’y+x’z+y’z

(ii)f=(y+z’)(x+y)(y’+z)

(b)The sum of all the minterms of a Boolean function on variables is equal to 1

(i)prove the above statement for n=3

(ii) Suggest a procedure for a general proof

4. (a)a logic circuit implements the following Boolean functions :F=A’C+AC’B. It is found that the circuit input combination A=C=1 can never occur find a simpler expression for ‘F’ using the don’t care conditions

(b)Simplify the following Boolean function by means of the tabulation method

P(A,B,C,D,E,F,G)=∑(20,28,52,60)

5. (a)design a combinational circuits  that adds 1 to a 4-bit binary number A3A2A1A0 for example if the input of the circuit is A3A2A1A0 =1101 ,the output is 1110

(b)Write HDL code for full adder.

6.(a)Construct a mod 6 counter using three different ways.

(b)Explain   with the help of state diagram decimal BCD triple counter. Draw the timing  Diagrams .

7.(a) What is the difference between a serial and parallel transfer? Explain how to convert serial data to parallel and parallel data to serial. What type of register is needed?

(b)Construct D-flip flop from a J-KFF. Give the truth table.

8.(a)Write short notes on the following

(a) Different types of ROMS

(b)Compare DRAM and SRAM