.. Build a ladder logic diagram that implements the following logic function. Verify your design using the truth table.
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- T: Answer thne f. questions: 1) The hexadecimal number ´Al' has the decimal value equivalent to (A) 80 (B) 161 (C) 100 (D) 101 2) The output of a logic gate is 0 when all its inputs are logic 1. The logic is either (A) a NAND or an EX-OR (B) an OR or an EX-NOR (C) an AND or an EX-OR (D) an NOR or an EX-NOR 3) The Gray code of the Binary number 1100111 is (A) 1011011 (B) 1010100 (C) 1001001 (D) 101101 4) When simplified with Boollean Algebra (a+b)(a+c) simplifies to (A) a (B) a+a(b+c) (C) a(1+bc) (D) a+bc 5) -31 is represented as a sign Binary number ( using Sign-magnitude form ) equal to (A) 00011111 (B) 10101001 (C) 01110010 (D) 00101101 6) The Binary number 110111 is equivalent to decimal number (A) 25 (B) 55 (C) 26 (D) 34 7) With 4 bit, what the range of decimal values if the number is 2's complement signed number. (A) -32 to +31 (B) -2 to +1 (C) -8 to +7 (D) None of these) Assume A=A3A2A1A0, and B=B3B2B1B0 , both 4 bit binary numbers. If Y=3A+B, answer the following: Design a digital circuit that implements Y using the minimum hardware. You may use 4 bit adders, Half adders, Full adders, and a minimum number of logic gates as necessary. *(sketch your solution)a) Create a 4 Variable Karnaugh Map in paper by mapping 1’s for given standard SOP Boolean expression. After mapping , make relevant groups within Karnaugh Map by considering rules for making groups for 4 variable Karnaugh Map. After making relevant grouping , extract the minimum SOP expression by considering rules for extracting minimum SOP using Karnaugh Map. * Standard SOP: *Create Circuit Diagram using logic gates and logic converter in Multisim for given standard SOP and minimum SOP which you have solved. Do make sure that truth table for both expressions should evaluate same result.
- An equation in reduced SOP form, is F=AB+B'C+A'C'. I need to draw a logic circuit F using NOT/AND/OR and logoc circuit F using all NAND gates. Thank you for the help. I understood the previous types of gates but I am confused on how to draw these circuits.4. A combinational logic circuit that compares between two 2-bit numbers A (AI A0) and B (B1 B0) is designed. Output F is high when A > B and low when A < B. a. Are there any conditions which cause none of the outputs to be asserted? If the conditions exist, what are the inputs? b. Derive the truth table and obtain the maxterm notation for the output. c. Obtain the minimized POS expression of the logic circuit. d. Draw the logic circuit using basic gates.An IC 74S04 is belong to Schottky TTL logic family. Select one: O True O False
- Kindly design a Master-slave J-K flip-flop using NAND gates only and staterace-around condition, and how it can be eliminated in a Master-slave J-K flipflop? A multiplexer (MUX) also known as data selector, is a logic circuit which allowsthe digital information from multi-inputs to a single output lineDesign counter that counts from 00 to 59, using the IC 74LS90 ripple counter and use two 7 segment display to display the result count. You can also use 7447 binary to 7-segment Display Decoder in logicworks.Boolean expression of a logic operation is given below: (a) Simplify the Boolean expression using Boolean algebra and De Morgan’s Theorems (b) Draw the circuit to implement the expression you obtain using NAND or NOR gates on
- Design a 6-bit ripple carry adder. Experimentally find out the sum of 110011 and 111001. Construct your entire schematic diagram and label all necessary pins and simulate for results.In this problem we'll explore the fact that all logical circuits can be implemented using just NAND gates. The figure below shows you the symbol for a NAND gate and its truth table. We then show you how NAND gates can be wired together to perform the equivalent of a NOT gate, an AND gate, and an OR gate. NAND gate AB Output 1 01 1 Inputa Inputg Output 10 1 11 NOT A- AND D B. A. OR B. 2 i. Let's denote p NAND q as pīq. Write a logical expression for the thrce circuits corresponding to AND, OR, and NOT. ii. Validate your three logical expressions with three truth tables. For clarity and full credit, show cach variable and distinct sub-clause in a separate column, culminating in your final formula. 3. 2.Detecting and detecting 010011 sequence in binary information received from an external input line xFor sequential logic circuit that makes external z output 1 when it does; a) Create the state diagram. Explain how you created it. b) Create the situation table. Note: D flip-flops are used in this circuit. If not used in the status tableif there are cases, you can specify the next state values and output as neutral values.