The following Boolean function Y=f(A,B,C,D,E) =Em (0,1,2,4,5,6,10,13,14,18,21,22,24,26,29,30). Design the function with minimal logic gates using: (A) Quine-McClusky method (Tabular method) (B) Karnaugh Map Method.
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The following Boolean function Y=f(A,B,C,D,E)
=Em (0,1,2,4,5,6,10,13,14,18,21,22,24,26,29,30). Design the function with minimal logic gates using: (A) Quine-McClusky method (Tabular method)
(B) Karnaugh Map Method.
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- An X-input exclusive-OR gate and a Y-input exclusive-OR gate (where X=3, Y=4 have their outputs connected to a 2-input exclusive-NORgate. Do the following:a) Draw the logic diagram and analyze the logic expression of the output (in standard SOPform).b) List out all essential prime implicants.Problem #04] Using AND and OR gates develop the logic circuit for the Boolean equation shown below. Y =AB(C + DEF) + CE(A + B +F) Problem #05] Using AND and OR gates develop the logic circuit for the Boolean equation shown below. X-A(CD+B)a) Design a combinational circuit that would take a 3-bit binary number and generate an output if the input value in decimal is either divisible by 2 or 3. iii) Explain and show how you would implement this circuit using a 4-to-1 Multiplexer and other appropriate logic gates. Use a block diagram for the multiplexer.
- In this assignment, you are required to design a circuit that counts and displays the sequence of the number 010430011092 . The number will then be displayed on a 7-segment display and changed every 1 second. The block diagram is as shown in Figure 1. Construct your design as follow: - (a) Design a combinational logic circuit that converts binary number to a sequence of the number 010430011092 and to be displayed on a single common anode 7-segment display. The logic circuit must be designed using 2-input NAND gateUsing full adders in block diagram, other needed logic gates. Show the design of a circuit that performs A – B based on using 2's complement arithmetic where A and B are two unsigned 4-bit numbers. State the condition for error in your design.2.1 Combinational logic circuits. Tabulates a truth table for the following Boolean expression shown in Equation 1.1. f = A.B.C + A.B.C + A.B.C (1.1) 2.2 Half adder. A half adder is a circuit that adds two binary digits, A and B. It has two outputs, sum (S) and carry (C). The carry signal represents an overflow into the next digit of a multi-digit addition. Figure 1.2 depicted a logic diagram for a half adder. a. derives the Boolean expression for s and c. b. tabulates a truth table for the half adder. Ao Bo Figure 1.2: Half adder os S C
- 4-6. A sequential circuit with two D flip-flops A and B and input X and output Yis specified by the following input equations: Y = A + B D = X + B D = XA (a) Draw the logic diagram of the circuit. (b) Derive the state table. (c) Derive the state diagram. (d) Is this a Mealy or a Moore machine?Consider the given logic equation below. Draw the logic diagram then simplify it using Boolean Algebra. Draw the logic diagram based on the simplified logic equation. X = A'BC' + A'B'C' + AB'C + AB'C' + A'B'C From the given logic diagram, trace the output using all possible input combination. Give it a conclusion upon completion..Simplify the following logic function using Quine-McCluskey method (tabulation method). Then draw the simplified circuit F(A,B,C,D)=(0,2,3,5,7,11,15)=(4,6,8,12,13,14) Terms 1,9,10 are don't care
- Create 8-bit adder/subtractor logic diagram using gates and explain the working of the gates in detail.For a combinational logic circuit of four bits Binary Coded Decimal (BCD) inputs and one output having following conditions: • if the equivalent decimal number of the BCD is even then output is 0 • if the equivalent decimal number of the BCD is odd then output is 1 Draw the truth table 20. i) ii) Find the simplified logic function using K-Map ii) Draw the logic diagram4. A combinational logic circuit has four inputs and one output. The output is 1 if and only if the decimal number represented by the inputs in binary code is a prime number. i. Construct the truth table and simplify the Boolean expression into POS form using K-map. ii. Construct the logic diagram using OR-AND gate network with simplified POS expression iii. Construct the logic diagram using only NOR gates with simplified POS expression.