1. Simplify the expression with foura(0,3,4,7,10,12,14).Draw the Circuit in logisim with minimum hardware.(Using SOP)variable using various Boolean algebra Q=2. Consider a four-input function that outputs a 0 whenever an even number of its inputs are 1.a) Construct the Truth Tableb) Generate the K-map for the expressionc) Find minimal sum-of-product and draw the circuit diagram.3. Design a Combinational circuit with a Decoder to accept 3-bit number and generate the outputbinary number equal to the Square of the input number.a) Derive the truth table.b) Find simplified output function in Product of Sum(POS).c) Draw the logic diagram in logisim Simulator4. Construct the truth table for 4 bit Excess 3 to Binary code code converter. Use K-map forsimplification and draw the circuit for 4 bit Excess 3 to Binary code Converter using AND, OR andNot gates in logisim Simulator.5. Design a Sequential Circuit with the help of (4- bit) Shift Registers to convert the data's from Parallelinput to parallel output form (Parallel - to- parallel Converter). Explain how this convertor is workingwith timing diagram.

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Answered: 1. Simplify the expression with four…

1. Simplify the expression with four a(0,3,4,7,10,12,14).Draw the Circuit in logisim with minimum hardware.(Using SOP) variable using various Boolean algebra Q=

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.6: Inequalities

Problem 80E

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Question

1. Simplify the expression with four
a(0,3,4,7,10,12,14).Draw the Circuit in logisim with minimum hardware.(Using SOP)
variable using various Boolean algebra Q=
2. Consider a four-input function that outputs a 0 whenever an even number of its inputs are 1.
a) Construct the Truth Table
b) Generate the K-map for the expression
c) Find minimal sum-of-product and draw the circuit diagram.
3. Design a Combinational circuit with a Decoder to accept 3-bit number and generate the output
binary number equal to the Square of the input number.
a) Derive the truth table.
b) Find simplified output function in Product of Sum(POS).
c) Draw the logic diagram in logisim Simulator
4. Construct the truth table for 4 bit Excess 3 to Binary code code converter. Use K-map for
simplification and draw the circuit for 4 bit Excess 3 to Binary code Converter using AND, OR and
Not gates in logisim Simulator.
5. Design a Sequential Circuit with the help of (4- bit) Shift Registers to convert the data's from Parallel
input to parallel output form (Parallel - to- parallel Converter). Explain how this convertor is working
with timing diagram.

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