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Each firll question carries 15 marks.) III (a) Convert the following : (D (11011.101)2 to Decimal(ii) (BFA6)r6 to binary(iii) (756.603)r to hexa decimal(b) Reduce and draw the logic diagnm for the Boolean expression F = A(B+C)+B'(B+D) On IV (a) Explain basic gates with tufi table and logic diagram.(b) Explain the procedure of obtaining an equivalent gra.y code for a binary mdewith example.Uurr - IIV (a) Simplif, the Boolean frrnction F (w x, y, z1 = _:,m(1, 3,7,11,15) which has thedon't-care conditions d (w, x, y, z) = (0,2, 5). (b) Design a half adder with tru*r table and logic diagram. (a) Desigr a decimal Adder with tuth table and logic diagram.(b) Write short notes on SOP and POS forms.UNn - IIIExplain about different ty?es of shift registers.On(a) Explain the working of a JK-Flipflop with tuth table and diagram.(b) Design a 3 bit up counter.UNn - IV(a) Explain the specificatiors of a DAC.(b) Explain constuction of memo,ry cel with logic diagram.On(a) Explain the working of prograrnmable logic array with an example.@) Explain a R-2R ladder DAC. 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No. Signatur DIPLOMA EXAMINATION IN ENGINEERING/TECHNOLOGY/MANAGEMENT/COMMERCIAL PRACTICE - OCTOBER, 20 I 8 DIGITAL COMPUTER PRINCIPLES(Maximum marks : 100) PART -A(Maximum marks : 10)MarksI Answer a// questions in one or two sentences. Each question carries 2 marks.I . Define base of a number system.2. What is parity bit ?3. Define Encoder.4. Define latch.5. What is PAL ? (5x2 = l0) PART - B(Maximum marks : 30)II Arswer any fve of the following questions. Each question carries 6 marks.I . Write short notes on BCD codes.2. State and prove De-Morgan's theorem.3. Realize EX-OR, OR gates using NAND gate.4. Expand A' + B' to minterms and maxterms.5. Explain the workrng of a D-flipflop.6. Differentiate and asynchronous sequential circuits.7. Explain how memory decoding is performed. 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