Consider the following truth table.A0B001ВCOutput01110100011110010111011111a)1b)Write the Boolean expression for the output using the sum-of-products (SOP)form.1c)Draw the logic circuit using the expression derived in part (a). Use two-inputgates (OR, AND) and single-input inverters.Write the Boolean expression for the output using product-of-sums (POS) form.

Conclusion : Ans 1a : SOP form output = A'B'C' + A'B'C + A'BC + ABC'simplified SOP form : output…

Answered: Consider the following truth table. A 0…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Draw the logic circuit for the following Boolean expression and complete the truth table.
The truth table for a Boolean expression is shown on figure1. A, B, C, D are inputs and Y is the output Write the Boolean expression on SOP form Y = f (A, B, C, D) Minimize the function using Karnaugh Map (K Map) Draw the minimized function using logic gates
Consider the following logic circuit. A B Do - F a) Write the Boolean function F(A, B, C). b) Simplify the function using Boolean algebra. c) Draw an equivalent circuit with only two gates. d) Draw the truth table of F.
VIII. Analyze the given truth table to find out the simplified Boolean expression using K-Map SOP method. Write down the number of AND gates and OR gates used in the simplified circuit. a) Finding of SOP Expression b) K-Мар Entry c) Find the Simplified expression d) Draw the logic circuit of the simplified expression e) Identify the number of gates used Input Output ABCDF(A,B,C,D) 0000 1 00|01 1 0|0|1|0 0|0|11 1 0|10|0 010|1 1 0|11|0 o|1|1|1 1 |1|0|0|0 10|0|1 1 10|1|0 1 101|1 1 110|0 1 110|1 1 1110 1
Design a three-input combinational logic circuit for F(A,B,C)= )7,6,4,2,0(m. Simplify the output expression of F. You may choose to use either Boolean algebraor Karnaugh map techniques to simplify the design. Finally, implement the design circuit from the final output expression of Fusing only AND, OR and NOT logic gates.
Part III: Combinational Logic Design Question Given F = Im (1, 2, 6, 7) a) Write the corresponding truth table b) Implement the circuit of F using a 4-input multiplexer. c) Implement the circuit of F using a 2-input multiplexer and some logic gates
Q5// Design a combinational .logic circuit that has 4-inputs (A,B,C,D) and one-output (F), the output will be high "1" when the majority of inputs are high"1", and then simplify the output use POS expression in K-map and draw logic circuit.
2. Consider the circuit below. a. Write the Boolean expression for output F in terms of A, B and C. b. Construct a truth table for the circuit with A as MSB and C as LSB. c. Write the Canonical SOP and POS forms for output F. A B C 3. Draw the logic circuit represented by the expression F(A, B) = AB using no more than 5 units of 2-input NAND gate and write the corresponding Boolean expression.
Given the logic expression, fill up the truth table and simplify the equation using k-mapping. Draw the final circuit.
DRAW THE CIRCUIT AND CONSTRUCT THE TRUTH TABLE OF THE EXPRESSION T = (AC' + B'D + BC)'
Draw the truth table of the logic circuit, Y (A+B) + (B'.C')
Use the truth table below, to find the Boolean expression and draw the logic circuit diagram using k-map.

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