at the left side of the table column wise and the other variables i.e., B, C, D Encircle the numbers or minterms given in the question. X 1 %%EOF A Using instances of only D gates and inputs 0 and 1, __________ (select the correct option(s)). 0 The output of circuit is given by, Write the logic function represented by the given K map (A' denotes complement of A), The simplified form of the function Step 3: Draw the circuit to implement the given Boolean Function using 8:1 MUX. 0 (C) A'B' + AB + BC'D' For n variable Boolean function, the number of select lines 11 Step 2: Derive input for multiplexer using implementation Table. MUX. $E}kyhyRm333: }=#ve The Boolean inputs 0 and 1 are also available separately. 0 =\overline{AB}+B(\overline{A}+A) \hspace{2cm} as \ \overline{A}+A=1 \\ =\overline{A}B$, $$\text{Fig (b) Multiplexer Implementation}$$, Implement following Expression using 4:1 mux $F(A,B,C,D)=\sum m(0,1,2,4,6,9,12,14)$. The system is designed as such tha only one condition can occur at a time. 0 0 Multiple Choice Questions with Answers on Analog Electronics Circuits - 2, Implementation of Boolean Function using Multiplexer, Flip-flop Conversion SR flip-flop to SR flip-flop, Flip-flop Conversion JK flip-flop to T flip-flop, Flip flop Conversion D flip-flop to JK flip-flop, REALIZATION OF BOOLEAN EXPRESSIONS AND LOGIC FUNCTIONS USING ONLY NOR GATES, IMPLEMENTATION OF BOOLEAN EXPRESSION AND LOGIC FUNCTION USING ONLY NAND GATES, Flip-flop Conversion SR T .Z3Tl8HzHDoA!Vo1C9wA7zdN17#:B*{ig@'6xSVYWQdx;;}@H1p#O IVx4 P@pSaYtE j%,pV 9g$f_$n1$mBfj~Dao%He8n%q)a5Sb5T1' }gRYdmtSY%danJ 0l9o_LBRWc. 1 If only one number is encircled in a particular column, then What will be the simplified Boolean expression for the given K-map? flip-flop to D flip-flop, Flip-flop Conversion D The variables B, C and D would be used as select lines. Simplified expression/s for following Boolean function F(A, B, C, D) = (0, 1, 2, 3, 6, 12, 13, 14, 15) is/are of Boolean Function using Multiplexer. (1101 0001)2 binary number is same as ( )8 octal number. flip-flop to T flip-flop, Flip-flop Conversion T advantages like reduction of IC package count, simplified logic design, no If both the numbers in a column are not encircled, then put =\overline{B}$, $D_2$ $=\overline{AB}+\overline{A}B+AB \\ xbbrb`b``3 O 294 0 obj <> endobj 0 Qf Ml@DEHb!(`HPb0dFJ|yygs{. Which among A, B, C and D as shown in the picture, depicts exclusive NOR gate? X write its corresponding MSB i.e., A or A/ against its input line (A) A'B' + AB + A'C'D' In this case there are four variables A, B, C & D. Therefore, Number of select lines would be. 0 1 =\overline{AB}+B(\overline{A}+A) \\ flip-flop to JK flip-flop, Boolean Function realization using Multiplexer, MOD 10 Synchronous Counter using D Flip-flop, MCQ on Analog Electronics with Answers - 2, Analog Electronics - MCQ on FEEDBACK AMPLIFIER, HOW TO WRITE BOOLEAN EXPRESSION FROM TRUTH TABLE. A state transition diagram with states A, B, and C, and transition probabilities p1, p2, , p7is shown in the figure (e.g., p1denotes the probability of transition from state Ato B). =\overline{AB}+B \\ Combinational logic circuits can be designed using would be (n-1). 3R `j[~ : w! F(A, B, C, D) =m(1, 5, 6, 7, 11, 12, 13, 15) is, What is the minimal form of the Karnaugh map shown below? Implementation Table: Write the MSB i.e. 1, With reference to following logic circuit, the output will be, The number of NAND gates required to implement a function A + AB + ABC is equal to. How many variables do 16 squares eliminate? 1 Assume that X denotes a dont care term, Which of the following functions implements the Karnaugh map shown below? 0000005830 00000 n circuit using Multiplexer. Step 1 : Connect least signification variables as a select input of multiplexer. 0000005233 00000 n be 3. against the corresponding input line I. trailer This post is about how to design a MOD 10 Synchronous Counter or Decade Counter using D Flip-flop step by step. B 0000001854 00000 n 0000002224 00000 n requirement of logic expression simplification in the circuit etc. 01 Hope this article on Implementation of Boolean Function using Multiplexer would help you in understanding combinational circuit design 0 1 endstream endobj 295 0 obj <>/Metadata 72 0 R/PieceInfo<>>>/Pages 71 0 R/PageLayout/OneColumn/StructTreeRoot 74 0 R/Type/Catalog/LastModified(D:20100104090716)/PageLabels 69 0 R>> endobj 296 0 obj <>/ColorSpace<>/Font<>/ProcSet[/PDF/Text/ImageC/ImageI]/ExtGState<>>>/Type/Page>> endobj 297 0 obj <> endobj 298 0 obj [/Indexed 303 0 R 255 304 0 R] endobj 299 0 obj <> endobj 300 0 obj <> endobj 301 0 obj <>stream 00 0000000016 00000 n HJ1F)RMf&f@inmu $D_0$ $=\overline{AB}+\overline{A}B+AB \\ endstream endobj 302 0 obj <>stream A platform which helps to clear concepts in various subjects of Electronics Engineering and Electrical Engineering, Here you would see how to design a Combinational Logic A and A/ flip-flop to SR flip-flop, Flip-flop Conversion JK X being dont care condition. 1 xb```"ffE``e`rhbiZj2j-lg.5l n2=bW Q/Tgse,]Ji\)0g6*=S*ly L Y@a0GaR n*f`>Hs"?0D|`Upm5h``0U/(* L|.000xo`T`r`id+Kfb[ vb` o'Kz[ P Multiplexers(MUX). 0000001158 00000 n =\overline{AB}+B \\ )L^6 g,qm"[Z[Z~Q7%" Solution: Following are the steps to implement the given =\overline{B}(\overline{A}+A) \hspace{3.1cm} as \ \overline{A}+A=1 \\ For this state diagram, select the statement(s) which is/are universally true. =\overline{A}B$, $D_1$ $=\overline{AB}+A\overline{B} \\ 10 0 against the corresponding input line I. 0000001902 00000 n 0000005270 00000 n 1 1 Ltd.: All rights reserved, In the sum of products function f (X, Y, Z) = (2, 3, 4, 5) , the prime implicants are. Which one of the following gate-symbol combinations is false ? 294 14 0 Which of the following instructionsays "greater than or equal"? Mumbai University > COMPS > Sem 3 > Digital Logic Design and Analysis. 0000001417 00000 n D) = m Boolean Function using 8:1 MUX: Step 1: To find number of select lines and input lines of the 1 I. Combinational logic design using Multiplexer provide many If the three conditions are defined as q, r, and s respectively, the output logic for the system is given as. tqX)I)B>== 9. Which one of the following is equal to\(\overline{A + B}\)? 0 0, A problem detector system produces an alarm in the factory when one of the three conditions occurs. ] 60d JsL::":tD/zjnu$uE+z]& * 0000002539 00000 n flip-flop to JK flip-flop, Flip-flop Conversion JK flip-flop to D flip-flop, Flip-flop Conversion T flip-flop to SR flip-flop, Flip flop Conversion D flip-flop to T flip-flop, Flip flop Conversion T $\hspace{1.2cm}$ Here, connect D to $S_0$ and C and $S_1$. 11 The flag bits of the _______ register are affected when arithmetic operations are executed in the 8051microcontrollers. 0000000587 00000 n Choose the correct answer from the options given below: Consider a Boolean gate (D) where the output Y is related to the inputs A and B as, Y = A + B, where + denotes logical OR operation. A combination circuit has inputs A, B and C, its K-map is given below. at the top of the table row wise sequentially as shown below: Write numbers from 0 to 15 in the cells of the Implementation table. 00 CD If both the numbers in a column are encircled, then put 1 F (A, B, C, startxref (B) A'B' + AB + A'CD' 10 Hexadecimal digits represented 1 to 9 and A to: 8051 Microcontroller has _______ number of 16 bit registers. 307 0 obj <>stream 0 0000000977 00000 n 0 <<0B542FB466EE9648BF120DACB4FBE116>]>> 0000001693 00000 n endstream endobj 306 0 obj <>/Size 294/Type/XRef>>stream 0000002146 00000 n available in market. The circuit given below represents a logic block diagram for the gate: The logic gate represented in the following figure is -, The following truth-table belongs to which one of the four gates- As we know that for an 8:1 MUX the number of select lines would Circuit using Multiplexer step by step with the help of an example - Implementation X $O./ 'z8WG x 0YA@$/7z HeOOT _lN:K"N3"$F/JPrb[}Qd[Sl1x{#bG\NoX3I[ql2 $8xtr p/8pCfq.Knjm{r28?. %PDF-1.4 % Select the Boolean function(s) equivalent to x + yz, where x, y, and z are Boolean variables, and + denotes logical OR operation. 0 flip-flop to D flip-flop, Flip flop Conversion SR And the remaining variable i.e., A, which is the MSB, would be taken as the input variable. (D) A'B' + AB + BCD' 0 $cy8rp>_K3 +x&yW Rhp7Fna.E{mjn3|,r.//.2? using Multiplexer(MUX). }~Lj! 01 xref (0, 1, 3, 4, 8, 9, 15). ESE Electronics 2010 Paper 2: Official Paper, Selective Attention Battery Practice Set 1 (Easy to Moderate), Copyright 2014-2022 Testbook Edu Solutions Pvt. hwTTwz0z.0. 1 AB Step 2: Formation of Implementation Table. X Standard ICs like 74152 (8:1 MUX), 74150 (16:1 MUX) etc are In this way you can implement acombinational logic

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