CY-304 · Digital Systems/Unsolved PYQ Paper
CY-304 Digital Systems - Nov 2022 Question Paper
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Unit 17 MarksaGiven the following Boolean function: $$F(W,X,Y,Z)=W X' \left( Y' + Z' \right) + X \cdot Z' \left( W \oplus Y \right)$$ where $\oplus$ represents the XNOR operation, determine the simplified(minimal) SOP expression for F using boolean algebra and implement the given function using NOR-NOR logic.
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Unit 17 MarksbCompute the prime implicants (PI) and essential prime implicants (EPI) in the following Boolean function $$F(W,X,Y,Z)=\Pi M(1,3,5,7,8,9,11,12)+d(2,10).$$ Compute a minimal SOP expression for F and determine whether it is unique.
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Unit 17 Marksa(i)Each of the following functions actually represents a set of four functions, corresponding to the possible assignment of the don't-care terms. $$f_1(w,x,y,z)=\Sigma\left(1,3,5,6,9,10\right)+\phi\left(11,12\right)$$ $$f_2(w,x,y,z)=\Sigma\left(0,3,4,5,8,9\right)+\phi\left(6,7\right)$$ i) Find $f_3= f_1 \cdot f_2$. How many functions does $f_3$ represent?
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Unit 17 Marksa(ii)Each of the following functions actually represents a set of four functions, corresponding to the possible assignment of the don't-care terms. $$f_1(w,x,y,z)=\Sigma\left(1,3,5,6,9,10\right)+\phi\left(11,12\right)$$ $$f_2(w,x,y,z)=\Sigma\left(0,3,4,5,8,9\right)+\phi\left(6,7\right)$$ ii) Find $f_4= f_1 + f_2$. How many functions does $f_4$ represent?
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Unit 17 MarksbGiven the network of Fig., determine the functions $f_2$ and $f_3$, if $f_1 = xz + x'z'$ and the overall transmission function is to be $$f(w,x,y,z)=\Sigma\left(0,3,6,10,11,12\right).$$
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Unit 27 MarksaDesign a $8\times 1$ multiplexer using one $4\times 1$ multiplexer and two $2\times 1$ multiplexers.
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Unit 27 MarksbDesign a combinational logic circuit to convert the BCD to excess-3 code.
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Unit 27 MarksaDesign a $3\times 8$ decoder using one $1\times 2$ decoder and two $2\times 4$ decoder with Enable input.
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Unit 17 MarksbDraw a schematic for a minimal circuit that uses only NOR gates that performs the two's complement operation on a four bit input value. Let the input be $A_3\ldots A_0$ and the output be $B_3\ldots B_0$.
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Unit 14 Marksa(i)Convert Decimal to Binary: $$(1024)_{10}$$
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Unit 13 Marksa(ii)Convert Decimal to Binary: $$(23.25)_{10}$$
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Unit 37 MarksbDraw the state diagram for the following specification sequential systems: Input: $x(t),y(t)\in\{0,1\}$ Output: $z(t)\in\{0,1\}$ State: $s(t)\in\{\mathrm{Even},\ \mathrm{odd}\}$ Initial state: $s(0)=\mathrm{Even}$ Functions: The transition and output functions are $s(t+1)=\mathrm{even}$ if $x(t)$ and $y(t)$ both are even $s(t+1)=\mathrm{odd}$ otherwise $z(t+1)=1$ if $x(t)$ and $y(t)$ both are even $z(t)=0$ otherwise
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Unit 37 MarksaDesign a synchronous counter to count in the random sequence $$0,\;2,\;4,\;5,\;7,\;0,\;2,\;4,\;5,\;7\ldots$$ using D flip-flop.
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Unit 37 MarksbDesign a sequential circuit using T flip-flop for the following state table. Assume any suitable assumptions for state assignment. Present State S(t) | Input X=0 | Input X=0 S1 | S1/1 | S4/0 S2 | S2/1 | S4/1 S3 | S2/1 | S1/0 S4 | S4/0 | S2/0 S(t+1)/Output (Z)
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Unit 47 MarksaExplain interfacing between TTL and MOS with example.
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Unit 32 Marksb(i)Explain the concept of working and applications of ROM.
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Unit 32 Marksb(ii)Explain the concept of working and applications of PLA.
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Unit 32 Marksb(iii)Explain the concept of working and applications of DRAM.
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Unit 31 Marksb(iv)Explain the concept of working and applications of FLASHRAM.
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Unit 44 Marks8(i)Write notes on A/D and D/A converters.
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Unit 43 Marks8(ii)Write notes on CMOS Logic.
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Unit 54 Marks8(iii)Write notes on Shannon's theorem for channel capacity.
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Unit 53 Marks8(iv)Write notes on Nyquist sampling theorem.
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