Question

Download Solution PDF

The Boolean simplified form for S = (X + Y) (X + Z) is _______. 

This question was previously asked in
HPCL Engineer Instrumentation 11 Aug 2021 Official Paper
Download PDF Attempt in App
View all HPCL Engineer Papers >
  1. 1
  2. X + Y
  3. Y + XZ
  4. X + YZ

Answer (Detailed Solution Below)

Option 4 : X + YZ
Free Tests
View all Free tests >
Free
Soil Mechanic for All AE/JE Civil Exams Mock Test
20 Qs. 20 Marks 20 Mins
Start Now

Detailed Solution

Download Solution PDF

S = (X + Y) (X + Z)

S = X + XZ + XY + YZ

S = X(1 + Z) + XY + YZ

S = X + XY + YZ

S = X(1 + Y) + YZ

S = X + YZ

Download Solution PDF
Latest HPCL Engineer Updates

Last updated on Jun 2, 2025

-> HPCL Engineer 2025 notification has been released on June 1, 2025.

-> A total of 175 vacancies have been announced for the HPCL Engineer post in Civil, Electrical, Mechanical, Chemical engineering.

-> HPCL Engineer Online application will be activated from 1st June 2025 to 30th June 2025.

-> Candidates with a full-time engineering discipline in the relevant stream are eligible to apply.

-> The selection will be based on a Computer Based Test Group Task and/or Interview. Prepare for the exam using HPCL Engineer Previous Year Papers.

Exams Tests Super Practice

More Laws of Boolean Algebra Questions

Q1.Which of the following Boolean algebra rules is correct ?
Q2.If A and B are boolean variables, then (A + B).(A + B̅) = ?
Q3.A + A̅B = A + B is stated as per:
Q4.Solve the following Boolean algebra expression : A(A' + C)(A'B + C)(A'BC + C')
Q5.Consider the following in Boolean Algebra X: a ∨ (b ∧ (a ∨ c)) = (a ∨ b) ∧ (a ∨ c) Y: a ∧ (b ∨ (a ∧ c)) = (a ∧ b) ∨ (a ∧ c) a ∨ (b ∧ c) = (a ∨ b) ∧ c is satisfied if
Q6.{A + A̅·B} can also be represented as:
Q7.The expression \(\overline{A\oplus B}\) is equal to _____.
Q8.The Boolean simplified form for S = (X + Y) (X + Z) is _______. 
Q9.If function f(X, Y, Z) = ∑ m(2, 3, 4, 5) is implemented using SOP form, the resultant Boolean function would be _________.
Q10.The minimised expression for (a + b)(a + b̅) + \(\overline{({\bar{\text{a}}\bar{\text{b}}}+{\bar{\text{a}}}})\) is:

More Logic Gates and Boolean Algebra Questions

Q1.What is the output of a EX-OR gate when both inputs are '1'?
Q2.Which combination of symbols represents an XOR (Exclusive-OR) gate?
Q3.What is the primary goal of simplifying a Boolean expression before implementing it with gates?
Q4.Which of the following Boolean algebra rules is correct ?
Q5.The minimum number of 2-input NAND gate required to implement Boolean function F(A, B, C) = AB’+ BC+ AC is (assuming only normal inputs are available) :
Q6.The number of essential prime implicant for the logic expression : F = ABC + CDA + BD + AC
Q7.Which of the following is the simplified form of the given function. f(A, B, C) = ∑m(0, 1, 3, 7)
Q8.Following gates section is connected in a complete suitable circuit.  For which of the following combination, bulb will glow (ON): 
Q9.Which of the following types is best suited to represent the logical values? 
Q10.The number of distinct Boolean expressions of four variables is-
Suggested Test Series
View All >
Vocabulary Master for All Government Exams Mock Test
309 Total Tests with 1 Free Tests
Start Free Test
HPCL Engineer Mock Test 2025
80 Total Tests with   3 Free Tests
Start Free Test

More Digital Electronics Questions

Q1.In an asynchronous counter, the clock input of each flip-flop except first flip-flop is connected to:
Q2._______ interrupt is a positive edge sensitive interrupt and can be triggered with a short pulse.
Q3.What is the output of a EX-OR gate when both inputs are '1'?
Q4.A positive edge-triggered T Flip-Flop has T = 1. If the current output Q is 0, what will be the output Q after 3 clock pulses?
Q5.What is the Boolean expression for the Carry-out (C) output of a Half Adder?
Q6.There are ______ register banks in the 8051 microcontroller.
Q7.Analyse the given program for 8085 and answer the question that follows. MVI B, 06h MVI A, F2H ADD B What is the content of Accumulator Register after the execution of the given program?
Q8.Which combination of symbols represents an XOR (Exclusive-OR) gate?
Q9.In a priority encoder, what happens when two or more input lines are active at the same time?
Q10.How many clock pulses are required to load n bits into an n-bit SIPO shift register?
Testbook Edu Solutions Pvt. Ltd.
1st & 2nd Floor, Zion Building,
Plot No. 273, Sector 10, Kharghar,
Navi Mumbai - 410210
support@testbook.com
Toll Free:1800 833 0800
Office Hours: 10 AM to 7 PM (all 7 days)
Company
About usCareers We are hiringTeach Online on TestbookPartnersMediaSitemap
Products
Test SeriesTestbook PassOnline CoursesOnline VideosPracticeBlogRefer & EarnBooks
Copyright © 2014-2022 Testbook Edu Solutions Pvt. Ltd.: All rights reserved
User PolicyTermsPrivacy
Hot Links： teen patti chart happy teen patti teen patti mastar