Step 1. A = AB (C + C’) + AB' (C + C’) = ABC + ABC’+ AB’C + AB’C’. Get solutions Get solutions Get solutions done loading Looking for the textbook?Write the minterm expansion for Z in decimal form and in terms of A, B, C. ) Keep the first 1, and x amount of 0's before the first one. Minterm to maxterm Use maxterms that aren’t in minterm expansion F(A,B,C) = ∑m(1,3,5,6,7) = ∏M(0,2,4) Maxterm to minterm Use minterms that aren’t in maxterm expansion F(A,B,C) = ∏M(0,2,4) = ∑m(1,3,5,6,7) 22 From SOP to POS and back Minterm of F to minterm of F' Use minterms that don’t appear F(A,B,C) = ∑m(1,3,5,6,7) F' = ∑m(0,2,4) 2. c. ) (c) Express F′ as a minterm expansion. In this lesson, we will look at one of two "standard forms" of boolean functions. Leave 0's as 0, until you reach the first 1. (a) Find the minterm expansion for F. (a) Express f as a minterm expansion (use m-notation). plus. (a) Define the following terms: minterm (for n variables) maxterm (for n variables) (b) Study Table 4-1 and observe the relation between the values of A, B, and C and the corresponding minterms and maxterms. engineering. Simplify boolean expression to. (b) Find the maxterm expansion for F 4. ,, a product term in which each of the variables appears once (either in its complemented or uncomplemented form) is called a minterm. See Answer See Answer See Answer done loadingThis problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. 5. Given F1=Σ m (0,4,5,6) and F2-yn (0,3,6,7) find the minterm expression for F1 F2. i. f = A'BC + AB'C' + AB'C + ABC + ABC의 식을 표현한다고 했을 때 각 항이 의미하는 것을 찾아 옮겨 적으면 f(A, B, C) = m 3 + m 4 + m 5 + m 6 + m 7 으로 표현이 됩니다. Final answer. 3. Give the minterm and maxterm expansion for each of the following logic. (Use M-notation. g. Find both the minterm expansion and maxterm expansion for This problem has been solved!Write the minterm expansion for Z in decimal form and in terms of A,B,C. 2. Implement the following functions using an 4:16 decoder OR gates. Above right we see that the minterm A’BC’corresponds directly to the cell 010. F = 1 if two of the inputs are 1. Simplify boolean expression to. Simplification in a Boolean algebra. Fundamentals of Logic Design (7th Edition) Edit edition Solutions for Chapter 4 Problem 5SG: Study Section 4. Given F1 = ∑ m(0,2,5,7,9) and F1 = ∑ m(2, 3,4,7,8) find the minterm expression for F1+F2. Variables appears exactly once in each minterm In true or inverted form (but not both) Minterms Also called conjunctive normal form (CNF) Commonly called a maxterm expansion AB CF F' 00001 00110 01001 01110 10001 10110 11010 11110 000 010 100 F = (A + B + C) (A + B' + C) (A' + B + C)Design a truth table, minterm formula, and circuit that will implement a 2-bit greater-than function. A: The minterms are those terms that give 1's of the function in a truth table. The minterm expansion for \(E \cap F\) has only those minterms in both sets. Write the complete minimized Boolean expression in sum-of-products form. Step-by-step solution. 5. Compare the pros and cons of a fuel cell such as the hydrogen-oxygen fuel cell, and a coal-fired power station for generating electricity. First, we will write the minterm: Maxterm = A+B'. For each variable that has a 1 in that row, write the name of the variable. Minterm is represented by m. This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. a and b represents the 1st and 2 nd bits of a binary number M. Most common MINTERM abbreviation full form updated in November 2023. 1) (5. Computer Science. r. The minterm expansion will consist of a sum of n n n products when the truth table contains n n n ones in the last column. Problem 2 Create a free account to view solutions for this book. Definition of minterm in the Definitions. Minterm expansion = ∑ m (0, 1, 2, 4, 8) ext{Minterm expansion}=sum m(0,1,2,4,8) Minterm expansion = ∑ m (0, 1, 2, 4, 8) The minterm expansion will consist of a sum of n n n products when the truth table contains n n n ones in the last column. Given the following maxterm expansion. Need help with this problem . (a) Write the minterm expansion for F. A logic circuit realizing the function f has four inputs A, B, C, and D. If A=1, the output is the equivalence of B and C. Write the minterm expansion for Z in decimal form and in terms of A,B,C. An excess-3 code is obtained by adding 3 to a decimal number. Who are the experts? Experts have been vetted by Chegg as specialists in this subject. Combinational Logic Design Using a Truth Table A f B C. , real-valued random variables). Problem 1 Applying the different laws and identities in Boolean algebra, determine the minterm expansion of the given Boolean expression: F(W,X,Y,Z. 1. Problem 3: (a) Plot the following function on a Karnaugh map. Minterm to maxterm " Use maxterms that aren™t in minterm expansion " F(A,B,C) = ∑m(1,3,5,6,7) = ∏M(0,2,4)! Maxterm to minterm " Use minterms that aren™t in maxterm expansion " F(A,B,C) = ∏M(0,2,4) = ∑m(1,3,5,6,7) ! Minterm of F to minterm of F’ " Use minterms that don™t appear " F(A,B,C) = ∑m(1,3,5,6,7) F’(A,B,C) = ∑m(0,2,4)!A switching circuit has four inputs as shown. Given: f (a, b, c) = a (b + c’). Do 4 and 5. Kirchhoff’s current law states that a. As the name indicates, the excess-3 represents a decimal number, in binary form, as a number greater than 3. Expert Answer. A minterm, denoted as mi, where 0 ≤ i < 2n, is a product (AND) of the n variables in which each variable is complemented if the value assigned to it is 0, and uncomplemented if it is 1. Design a binary adder which takes three inputs: A, B and C ( C is the carry bit, A and B are the two binary numbers), there are two outputs S and X ( S is the sum and X is carry bit to next column) and the table is given as below: a) Write down the minterm expansion for S (in terms of A, B and C) b) Write down the minterm expansion for X (in. Express F as a minterm expansion in m-notation. – Each minterm has value 1 for exactly one combination of values of variables. Fundamentals of Logic Design (6th Edition) Edit edition Solutions for Chapter 4 Problem 3SG: Study Section 4. This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. (Use M- notation. Computer Science questions and answers. A minterm is a Boolean expression resulting in 1 for the output of a single cell, and 0s for all other cells in a Karnaugh map, or truth table. Sum of product form is a form of expression in Boolean algebra in which different product terms of inputs are being summed together. (20 points) d. Assume that we don’t care the value of F when ABC=001. From SOP to POS and back Minterm of F to minterm of F' Use minterms that don’t appear F(A,B,C) = ∑m(1,3,5,6,7) F' = ∑m(0,2,4) Maxterm of F to maxterm of F' Use maxterms that don’t appear F. For example, for the second term, you have: Another minterm A’BC’ is shown above right. 1. In this course, you will study the history of modern computing technology before learning about modern computer architecture and a number of its essential features, including instruction sets, processor arithmetic and control, the Von Neumann architecture, pipelining, memory management, storage, and other input/output topics. Electronic Design 36. 5 as the initial value. Prove your answer by using the general form of the minterm expansion. • Eliminate. (a) Express f as a minterm expansion (use m-notation). Find step-by-step solutions and answers to Exercise 10 from Fundamentals of Logic Design - 9781133628477, as well as thousands of textbooks so you can move forward with confidence. It takes three inputs: x and y, the two bits being added from this column of the addition. Example – Express the Boolean function F = A + B’C as standard sum of minterms. ABC (111) => m 7 – A function can be written as a sum of minterms, which is referred to as a minterm expansion or a standard sum of products. 2 of 3. Minterms are the fundamental part of Boolean algebra. , F(A,B,C) = ΠM(0,2,4) F’(A,B,C) = ΠM(1,3,5,6,7) An equation can be proven valid by factoring the minterm expansions of each side and showing the expansions are the same Ex) a'c + b'c' + ab = a'b' + bc + ac' Left side, = a'c (b + b') + b'c' (a+ a') + ab (c + c') = a'bc + a'b'c + ab'c' + a'b'c' + abc + abc' 011 001 100 000 111 110. Z = ∑ (c) Find the maxterm expansion for Z in both decimal form in terms of A, B, C. 4, General Minterm and Maxterm Expansions. 6. A B |С| D 3. Start learning . e f f у 0 0 0 0 1 1 (a) 1 0 0 1 1 1 (b)A combinational circuit has three inputs (A, B, C) and two outputs (X,Y). GATE CS 2010. Σm(…). 3. Here’s the best way to solve it. plus. Problem: Find the minterms of the following expression by first plotting each expression on a K-map: a) F(X,Y,Z) = XY + XZ + X’YZ b) F. A minterm, denoted as mi, where 0 ≤ i < 2n, is a product (AND) of the n variables in which each variable is complemented if the value assigned to it is 0, and uncomplemented if it is 1. For each row with a 1 in the final column, the corresponding product to add to the minterm expansion is. 一般的 boolean function 都不是唯一，所以需要化簡、轉換算式來確認函式之間的關係，但. Find the truth table for Z. Slide 1 Boolean Algebra and Logic Simplification BY UNSA SHAKIR. Cheap Textbooks;A switching circuit has four inputs as shown. Minterm expansion = ∑ m (1, 2, 4) ext{Minterm expansion}=sum m(1,2,4) Minterm expansion = ∑ m (1, 2, 4) The minterm expansion will consist of a sum of 3 3 3 products when the truth table contains 3 3 3 ones in the last column. the operation is or. Solution for The minterm expansion of f(P, Q, R) = PQ + QR + PR is. 3, Minterm and Maxterm Expansions. 1. = a’b’ +a’d + acd’ = a’b’(c+c’)(d+d’) + a’d(b+b’)(c+c’) + acd’(b+b’) = a’b’c’d’ + a’b’c’d + a’b’cd’ +a’b’cd + a’bc’d + a’bcd + abcd’ +ab’cd’ = Σm(0,1,2,3,5,7,10,14) What is the maxterm expansion for f? Minterm maps and the minterm expansion. (20 points) b. Above right we see that the minterm A’BC’corresponds directly to the cell 010. The output for the minterm functions is 1. 20 A bank vault has three locks with a different key for each lock. Question: 36 and 37. ) (b) Express F as a maxterm expansion. Expert-verified. Express Fas a minterm expansion in boolean expression. 2. (17 points) X = duha (b) Find the minterm expansion for X. This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. 2. ) Show transcribed image text. 5. 1 Answer Sorted by: 0 ab+ac' ab (c+c')+a (b+b')c' abc+abc'+abc'+ab'c' abc+abc'+ab'c' use a truth table with 3 variables a,b,c find followings abc = 111 - 7 abc' =. 🔗. Question: A combinational circuit has three inputs (A, B, C) and two outputs (X,Y). Express F as a maxterm expansion (standard product of sum) 4. e. – Each minterm has value 1 for exactly one combination of values of variables. Using postulates and theorems of Boolean algebra, simplify the minterm expansion of F to a form with as few occurrences of each as possible. Express F as a minterm expansion (Use m-notation): F = ∑ Express F as a maxterm expansion (Use M-notation): F = ∏ Express F’ as a minterm expansion (Use m-notation. F = 1 if two of the inputs are 1. To illustrate the importance of reducing the complexity of a Boolean function, consider the following function: (5. Step 1 of 3. How to express a digital logic function in minterm (sum of products) form. For each row with a 1 in the final column, the corresponding product to add to the minterm expansion is obtained as:Sum of Product is the abbreviated form of SOP. Each row of a logical truth table with value 1/True can therefore be. me/tanmaysakpal11-----. Minterm expansion for a function is unique. )3) Assume that the input combinations of ABC=011 and ABC=110 will never occur. (b) Find the maxterm expansions for Y and Z. 7. This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Otherwise, F = 0. "This form is composed of two groups of three. (Use M - notation. (11 points) (b) Draw the corresponding two-level AND-OR. 1. 9 Given: | Chegg. General Minterm and Maxterm Expansions list maxterms not present in F minterm nos. Digital Systems Examples and. Use Karnaugh Maps to simplify the minterm expansion with don't cares. Minterm expansion; No lecture on 10/10 (holiday) Lecture on 10/11 (Mon. The decimal point number of (10) 2 is 2. 1. Another minterm A’BC’ is shown above right. d) Are all the minterms covered by the EPI's, if not determine the additional prime implicants (if any) and find out. , F(A,B,C) = Σm(1,3,5,6,7) F’(A,B,C) = Σm(0,2,4) Maxterm expansion of F to. The minterm expansion will consist of a sum of n n n products when the truth table contains n n n ones in the last column. For each row with a 1 in the final column, the corresponding product to add to the minterm. Show transcribed image text. Be sure to include the image of your. Question: Build a 4x1 multiplier in the space provided. Review: Binary Encoding of Numbers Unsigned numbers b n-1 2n-1 + b n-2 2 n-2 + . C and D represent the first and s number N. of F minterm nos. Simplifying Boolean Two Expressions. Minterm = A00; We will write 1 in place of non. (c) Express f' as a minterm expansion (use m-notation). . Electrical Engineering questions and answers. Question: 1) Given: F (a,b,c) = a'bc + (a) Express F as a minterm expansion. c) Min term expansion of the function . n 个变量有 2 n 个极小项 - 这是因为在极小项表达式中一个变量要么是自身要么是它的补的形式 - n 个变量每个都有两种选择。 You can likewise expand the second and third terms; you just need to do it in two of these transformations. A logic circuit realizing the function f has four inputs A, B, C, and D. (25 Points) 4. g. That is, the cell 111 corresponds to the minterm ABC above left. 4. For each row with a 1 in the final column, the corresponding product to add to the minterm expansion is obtained as: COE/EE 243 Digital Logic Session 9; Page 5/9 Spring 2003 x y x y 3. Using theorems of Boolean algebra, simplify the minterm expansion of F to a form with as few occurrences of each as possible. Canonical Form – In Boolean algebra,Boolean function can be expressed as Canonical Disjunctive Normal Form known as minterm and some are expressed as Canonical Conjunctive Normal Form known. 모든 불 함수는 민텀들의 논리합으로 표현할 수 있다. Example: Calculate the length change of a bronze bar (L = 5m, α = 18 ×10-6 /°C), if the temperature rises from 25°C to 75°C. (a)True (b)False?? The Sum of Product (SOP) canonical form is also known as ____?? (a)Minterm expansion (b)Maxterm expansion The 1’s complement of the. (b) Find the minterm expansion for Z in decimal form in terms of A, B, C. For each remaining row, create a minterm as follows: For each variable that has a 1 in that row, write the name of the variable. A switching circuit had 4 inputs a,b,c, and d and output f. The output is to be 1 only if the product N1 times N2 is less than or equal to 2. 민텀 (Minterm) (최소항) 이때 곱의 항 (곱들의 합)을 민텀 (Minterm) 이라고 한다. Equivalence of B and C is defined as: (B⊕C)′ 1. See Answer. Find step-by-step solutions and answers to Exercise 9 from Fundamentals of Logic Design - 9780495471691, as well as thousands of textbooks so you can move forward with confidence. 1. 1. 5. 1. Question 2. Each of three coins has two sides, heads and tails. Express F as a maxterm expansion (standard product of sum). Step 1 of 3. The circuit to implement this function. A switching circuit has four inputs as shown. If you have difficulty with this section, ask for help before you take the readiness test. It is often referred to as minterm expansion or standard sum of products. m2+m4+m6+m7. This widget allows to get some helpful information about an arbitrary minterm based on its number and amount of logic variables. Find the. 모든 불 함수는 민텀들의 논리합으로 표현할 수 있다. The minterm is described as a sum of products (SOP). . are those nos. Maxterm expansion of Y: Y = (A + B')(A' + B) a. Write the complete minimized Boolean expression in sum-of-products form. 0 × 29 and c = 1. Due Date: 4/7/2023 by 2 pm 1 Given the followina trith table: a) Write down the minterm expansion for the function F b) Draw the K-Map using the minterm expansion c) Determine all the essential prime implicants. Find the truth table for Z. The second. Each data input should be0, 1, a, or a′. The three inputs A, B, and C are the binary representation of the digits 0 through 7 with A being the most-significant bit. Expert Answer. Rather, it should be built by combining four instances of your Full Adder circuit. (c) Express f' as a minterm expansion (use m. . b. Minterm is a product of all the literals (with or without complement). Due Date: 4/7/2023 by 2 pm 1 Given the followina trith table: a) Write down the minterm expansion for the function F b) Draw the K-Map using the minterm expansion c) Determine all the essential prime implicants. Keep your answer in the minterm expansion form i. Thus, a minterm is a logical expression of n variables that employs only the complement operator and the conjunction operator. The calculator will try to simplify/minify the given boolean expression, with steps when possible. (b) Find the maxterm expansion for F (both decimal and algebraic form). About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright. In the above truth table, the minterms will be m 2, m 5, m 6 and m. 2진. , F(A,B,C) = ΠM(0,1,2) = Σm(3,4,5,6,7) 3. 🔗. The binary number of the maxterm A+B' is 10. (5 POINTS EACH) Four chairs are placed in a row: Each chair may be occupied (1) or empty (O). Express Fas a minterm expansion in m-notation. Write the minterm expansion for Z in decimal form and in terms of A,B,C. (a) Given expression is. Electrical Engineering questions and answers. minterm (standard product term) A product (AND) of n Boolean variables, uncomplemented or complemented but not repeated, in a Boolean function of n variables. m0+m1+m3+m5. First, we will write the minterm: Minterm = AB'C' Now, we will write 0 in place of complement variables B' and C'. Convert this expression to decimal notation. The relationships between the inputs and the outputs are shown below: x3 x2. Valid excess-3 code : 0011 to 1100 Invalid excess-3 code : [0000 to 0010] and [1101 to 1111] 10. simplifying boolean expression in minterm. (Use M-notation. (a) Any Boolean expression may be expressed in terms of either minterms or maxterms. Given the following Minterm Expansion. Given expression is. 최소항 전개(minterm expansion)는 정규형 중 논리 함수의 모든 변수들을 곱의 합 형태로 표현한 것이다. Find step-by-step Engineering solutions and your answer to the following textbook question: A combinational logic circuit has four inputs (A, B, C, and D) and one output Z. – In formal logic, these values are “true” and “false. Remember that a Full Adder adds a single column of digits from the bitwise sum of two binary numbers. Who are the experts?Question: 2. 9, which involves an independent class of ten events. Step 1 of 4. )(3pts) loading. 5. Minterm expansion = ∑ m (1, 2, 4) \text{Minterm expansion}=\sum m(1,2,4) Minterm expansion = ∑ m (1, 2, 4) The minterm expansion will consist of a sum of 3 3 3 products when the truth table contains 3 3 3 ones in the last column. This product is not arithmetical multiply but it is Boolean logical AND and the Sum is Boolean logical OR. 1 Answer Sorted by: 0 ab+ac' ab (c+c')+a (b+b')c' abc+abc'+abc'+ab'c' abc+abc'+ab'c' use a truth table with 3 variables a,b,c find followings abc = 111 - 7 abc' = 110 - 6 ab'c'= 100 -4 Sum m (4, 6, 7) therefore, maxterm M (0,1,2,3,5) Share Cite Follow answered Sep 28, 2017 at 12:28 justiny 1 Add a comment The minterm expansion for \(E \cup F\) has all the minterms in either set. 21(b) Realize a b c a bc ab c abc using only two input equivalence gates a b c a bc ab c abc c a b ab c a b ab c a b c a b c a b c a b Since X Y X Y cElectrical Engineering questions and answers. Find step-by-step solutions and answers to Exercise 27 from Fundamentals of Logic Design - 9781111781392, as well as thousands of textbooks so you can move forward with confidence. Simplified Boolean Function (Minimum SOP): Let's simplify the. when function is written as a sum of minterms, this is called minterm expansion or a standard sum of products (or canonical sum of products or disjunctive normal form). It takes three inputs: x and y, the two bits being added from this column of the addition; c_in, the carry bit into this column of the addition Discuss. b. The minterm and maxterm expansions for F in algebraic and decimal forms, and; The minterm and maxterm expansions for F' in algebraic and decimal forms. Express F as a minterm expansion in m-notation. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright. Note: The answer is provided in the image uploaded below. (c) Write the maxterm expansion for Z in decimal form and in terms of. maxterm expansion) and draw the corresponding circuit. e. Here is a reminder of the steps: Delete all rows from the truth table where the value of the function is 0. Express F as a minterm expansion in m-notation. If A=0, the output Z is the exclusive-OR of B and C. 1) Given: F (a, b, c) = ab c ′ + b ′ (a) Express F as a minterm expansion. Step 1 of 4. It will have four outputs (p3, p2, p1, and p0) that correspond to the four bits of the product. Expert-verified. A combinational switching circuit has four inputs and one output as shown. For a boolean function of variables ,. This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Given F1= Σ m(0, 4, 5, 6) and F2= Σ m(0, 3, 6, 7) find the minterm expression for F1+F2. 2. ) (d) Express F′ as a maxterm expansion. Example: Calculate the length change of a bronze bar (L = 5m, α = 18 ×10 -6 /°C), if the temperature rises from 25°C to 75°C. In POS representation, a product of maxterm gives the expression. General Minterm and Maxterm Expansions general function of n variablesA minterm is an expression regrouping the Boolean variables, complemented or not (a or not (a)), linked by logical ANDs and with a value of 1. Step 1 of 5. This product is not arithmetical. e. Log in to add comment. See answer. For each row with a 1 in the final column, the corresponding product to add to the minterm expansion is obtained as:Minterms. Example: a OR b OR !c = 1 or (a AND NOT (b)) OR (NOT (c) AND d) = 1 are minterms. k ∧ i = 1yi, where each yi may be either xi or ¯ xi is called a minterm generated by x1, x2,. This sum-of-products expansion isCreate a free account to view solutions for this book. (Use m-notation. I have a question regarding the process of finding minterms. This function is still missing one variable, so. (~Y) is a minterm we can express complement ~Y as Y’ so, the above minterm can be expressed as XY’ So, if we have two variables then the minterm will consists of product of both the variables. Using scientific means, determine the minterm expansion for the given function: F = X'Y + XY' + Y'Z'. Computer Science. Remember that a Full Adder adds a single column of digits from the bitwise sum of two binary numbers. me/tanmaysakpal11-----. XY represents a binary number whose value equals the number of O's at the input. The output of the maxterm. For each row with a 1 in the final column, the corresponding product to add to the minterm expansion is. Analysis: F(A, B, C) = AB + BC̅ + AC̅. Computer Science questions and answers. Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this site∏M 0 3 5 6 so the minterm expansion is. Maxterm expansion: To find the maxterm expansion, we need to find the terms that are not present in the minterm expansion. Write out the full Boolean expressions. Minterm expansion of Y: Y = A'B' + A'B c. are the same as maxterm nos. (a) Find the truth table for Z. Your function should take 4 bits of input, x 1 , x 0 , y 1 and y 0 , and produce a true output if and only if the two-bit number x 1 x 0 is greater than the two-bit number y 1 y 0 . Write the complete minimized Boolean expression in sum-of-products form. Thus, a minterm is a logical expression of n variables that employs only the complement operator and the conjunction operator. are those nos. Not the exact question you're looking for? Post any question and get expert help quickly. See below for information about how to import your Full Adder, as well as for the steps needed to export Ripple-Carry Adder. If a minterm has a single 1 and the. (ii) Eliminate redundant terms by using the. State a general rule for finding the expression for F1 F2 given the minterm expansions for F1 and F2. "This form is composed of two groups of three. Therefore, a) F as a min term expansion is . Express F as a minterm expansion in boolean expression. c and d represent the 1st and 2nd bits of a binary number N. To, prove the answer, the minterms can be expanded using. (a) Consider the function. Express following function in a) sum of minterm b) product of maxterm (xy + y’) xy’+ yz (y + z’)… A: Sum of Product It is a form of expression in Boolean algebra wherein different product phrases of…A Computer Science portal for geeks. (5 POINTS EACH) Four chairs are placed in a row: Each chair may be occupied (1) or empty (0). (a) Find the minterm expansion for F (both decimal and algebraic form). Thank You so much!Minterm expansion of f(P, Q, R) is m 2 + m 4 + m 6 + m 7. (Hint: Start with a minterm expansion of F and combineminterms to eliminate a and a′ wherepossible. See below for information about how to import your Full Adder, as well as for the steps needed to export Ripple-Carry Adder. each maxterm has a value 0 for exactly one combination of values for variables a=b=c=0 then maxterm is a+b+c and its abbreviated form M0. Step 2. That is, the cell 111 corresponds to the minterm ABC above left. .