# RGPV Exam Question Paper – BE III SEM – Digital Circuits and System – Dec 2010

**R.G.P.V. Bhopal (MP)**

**C.S.(3rd Semester) EXAM,Dec-2010**

**Time: 3Hrs Max Marks: 100 Min Marks: 35**

**Note**:Attempt any 5 questions.All question Carry equal marks.

Q.1.(a) (i) using 9’s complements subtract (63458-3354) ? 4

(ii) Express decimal 5280 in excess-3 code ?4

(b) Minimize the following switching functions using the Karnaugh map. List all prime implicants and essential prime implicants ?12

F(x1,x2,x3,x4) = (0,1,2,3,6,7,9,13,14,15 )

F(x1,x2,x3,x4) = (0,1,2,3,6,7,9,13,14,15 )

Q.2 (a) Minimize the following functions using the Quine McCluskey method : 14

F(x1,x2,x3,x4,x5) = (0,2,4,5,6,7,8,10,14,17,18,21,29,31) + d(11,20,22)

F(x1,x2,x3,x4,x5) = (0,2,4,5,6,7,8,10,14,17,18,21,29,31) + d(11,20,22)

(b) Convert the following : 6

(i) (0.513)10 to octal

(ii) 673.124)8 to Binary

(iii) 1010.01101)2 to Decimal

(i) (0.513)10 to octal

(ii) 673.124)8 to Binary

(iii) 1010.01101)2 to Decimal

Q.3 (a) Determine the prime-implicants of the function and minimized function ? 10

F(w,x,y,z) = (1,4,6,7,8,9,10,11,15)

(b) Design a parity generator to generate an odd parity bit for 4-bit word.Use NAND gates only ?10

F(w,x,y,z) = (1,4,6,7,8,9,10,11,15)

(b) Design a parity generator to generate an odd parity bit for 4-bit word.Use NAND gates only ?10

Q.4 (a) Design a Full-Adder with two Half Adders and an OR gate ? 9

(b) Design a BCD to Excess-3 code converter using the minimum number of NAND gates ? 11

(b) Design a BCD to Excess-3 code converter using the minimum number of NAND gates ? 11

Q.5 (a) Explain the operation of monostable multivibrator with the help of necessary diagram and waveforms.Describe the applications of it. 12

(b) Determine the frequency of oscillation for the free running multivibrator circuit shown below.It is given that RA=RB=1Kohm and C=1000pF.Also calculate the Duty Cycle.? 8

(b) Determine the frequency of oscillation for the free running multivibrator circuit shown below.It is given that RA=RB=1Kohm and C=1000pF.Also calculate the Duty Cycle.? 8

Q.6 (a) How many Flip-Flops are required to construct a MOD-128 Counter ?A MOD-32 ? What is the largest decimal number that can be stored in a MOD-64 Counter ? 5

(b) What modulus counters can be constructed with the use of four flip-flops ? 5

(c) Design a 4-Bit Johnson Counter ? 10

(b) What modulus counters can be constructed with the use of four flip-flops ? 5

(c) Design a 4-Bit Johnson Counter ? 10

Q.7 (a) Describe the successive approximation A/D converter with the help of necessary diagram and waveforms ? 10

(b) For a 5-bit resistive divider determine the following : 10

(i) The weight assigned to the LSB.

(ii) The weight assigned to the second and third LSB.

(iii) The change in Output voltage due to a change in the LSB the second LSB & third LSB

(iv) The output voltage for a digital output of 10101 Assume 0= 0V and 1= +10 V

(b) For a 5-bit resistive divider determine the following : 10

(i) The weight assigned to the LSB.

(ii) The weight assigned to the second and third LSB.

(iii) The change in Output voltage due to a change in the LSB the second LSB & third LSB

(iv) The output voltage for a digital output of 10101 Assume 0= 0V and 1= +10 V

Q.8 Write short notes on ant three of the following : 20

(i) Sample and Hold Circuit

(ii) 2-bit simultaneous A/D converter

(iii) PLA

(iv) ECL

(i) Sample and Hold Circuit

(ii) 2-bit simultaneous A/D converter

(iii) PLA

(iv) ECL

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