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Posted by Er. AMIT DWIVEDI , , , , , ,
Rajiv Gandhi Technical University Bhopal
CS / EI / BM-303
Digital Circuit And System (DCS)
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 )

Q.2 (a) Minimize the following fuctions 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)
       (b) Convert the following : [6]
  1. (0.513)10 to octal
  2. (673.124)8 to Binary
  3. (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]

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]

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]

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]

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]
  1. The weight assigned to the LSB.
  2. The weight assigned to the second and third LSB.
  3. The change in Output voltage due to a change in the LSB the second LSB and third LSB .
  4. The output voltage for a digital output of 10101 Assume 0= 0V and 1= +10 V
Q.8 Write short notes on any three of the following : [20]
  1. Sample and Hold Circuit
  2. 2-bit simultaneous A/D converter
  3. PLA
  4. ECL
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