The general rule for finding the expression, is that all the terms present in either or will be present in . 2. 0-minterms = minterms for which the function F = 0. (Use M- notation. g. Add your answer and earn points. are the same as maxterm nos. ISBN. W as a maxterm expansion in M-notation W = πM (1, 2, 3, 6) W' as a minterm expansion in m-notation W' = Σm (1, 2, 3, 6) W' as a maxterm expansion in M-notation W' = πM (4 ,5, 7) Recall how we converted this expression before to a sum of products W = ij'k' + ij'k + ijk Therefore we know the minterms 100 , 101 , 111 which are 4, 5, 7 for 3. Computer Science questions and answers. Write the complete minimized Boolean expression in sum-of-products form. Combinational Logic Design Using a Truth Table A f B C. Four chairs are placed in a row: |c| A |c| B |c| C |c| D Each chair may be occupied ( 1 ) or empty ( 0 ). ) Show transcribed image text. Convert to maxterm expansion F = M 0M 2M 4 3. 5. The output is1 only if the product M×N is <=2. A = AB (C + C’) + AB' (C + C’) = ABC + ABC’+ AB’C + AB’C’. Y= (A+B+C) ( A + B+ C) ( A + B + C ), is an example of canonical POS expression, so its each term can be represented in maxterm notation. The output is to be 1 only if the product N1 times N2 is less than or equal to 2. (ii) Eliminate redundant terms by using the. Minterm is the product of N distinct literals where each literal occurs exactly once. You'll get a detailed solution from a subject matter expert that helps you learn core concepts. 9, which involves an independent class of ten events. of F list minterms not present in F maxterm nos. (use M-notation) (c) Express F' as a minterm expansion. c and d represent the 1st and 2nd bits of a binary number N. Equivalence of B and C is defined as: (B⊕C)′ 1. 4. 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 . Stuck at simplifying boolean expression. (a) Express f as a minterm expansion (use m-notation). Step-by-step solution. 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. (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. Therefore, the minterm expansion for is . Using K-map, determine the Boolean function that the MUX implements. Given F1 = ∑ m(0,2,5,7,9) and F1 = ∑ m(2, 3,4,7,8) find the minterm expression for F1+F2. Given the following Minterm Expansion. In POS representation, a product of maxterm gives the expression. Determine the minterm and maxterm for each of the following: a). (c) Express f' as a minterm expansion (use m. 1-minterms = minterms for which the function F = 1. Problem #3 (15p) Implement the following function F(expressed using minterm expansion); F(A, B, C, D) = m(1,4,5, 10, 12) + 3d(0, 9, 14, 15) a) Cell numbers are. On a piece of paper, create the minterm expansion formula for this truth table. 2. Above right we see that the minterm A’BC’corresponds directly to the cell 010. 100% (42 ratings) for this solution. Question: Q2 ) redo Q1 using the following function [10 Points: 5 points each] F(a,b,c,d)=(a+b+d)(a′+c)(a′+b′+c′)(a+b+c′+d′) Hint: You will need to add the missing variables in each expression by XX′=0 then use A+BC=(A+B)(A+C)Q1) Given: F(a,b,c)=abc′+b′ (a) Express F as a minterm expansion. Minterm is represented by m. Above right we see that the minterm A’BC’corresponds directly to the cell 010. 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. Applies commutative law, distributive law, dominant (null, annulment) law, identity law, negation law, double negation (involution) law, idempotent law, complement law, absorption law, redundancy law, de. Remember that a Full Adder adds a single column of digits from the bitwise sum of two binary numbers. Given the following truth table: A B C F 0 0 0 1 0 0 1 1 0 1 0 1 0 1 1 0 1 0 0 0 1 0 1 1 1 1 0 1 1 1 1 1 a) Write down the minterm expansion for the function F b. Rather, it should be built by combining four instances of your Full Adder circuit. Minterm expansion of F to Minterm expansion of F': in minterm shorthand form, list the indices not already used in FQuestion: Build a 4x1 multiplier in the space provided. 2. a and b represents the 1st and 2 nd bits of a binary number M. Give a truth table defining the Boolean function F. For each remaining row, create a minterm as follows:. This means the \(j\)th element of the vector for \(E \cup F\) is the maximum of the \(j\)th elements for the two vectors. . This product is not arithmetical. . (c) Express f' as a minterm expansion (use m-notation). A and B represent the first and second bits of a binary number N 1. If A = B = C = 0 then A' B' C ' = 1 and is designated as m 0 f = A' B C + A B' C + A B' C + A B C' + A B C is an example of a function written as a sum of minterms. Eliminate as many literal as possible from each term by systematically. (a) Express F as a minterm expansion (use m-notation). Write a logic function F(A, B, C) which is 1 if and only if exactly one of the coins is heads after a toss of the coins. Express F as a minterm expansion in boolean expression. Answered 2 years ago. To illustrate, we return to Example 4. Example (PageIndex{12}) A hybrid approach. (a) Write the minterm expansion for F. (20 points) b. And what is minterm. For each row with a 1 in the final column, the corresponding product to add to the minterm. Example if we have two boolean variables X and Y then X. of F list minterms not present in F maxterm nos. Minterm Minterm is a product of all the literals (with or without complement). 이를 활용해서 minterm expansion(최소항 전개) 또는 standard sum of products(표준 논리곱의 합)으로 표현할 수 있습니다. Example 1: Maxterm = A+B'. (11 points) (b) Draw the corresponding two-level AND-OR circuit. Who are the experts? Experts are tested by Chegg as specialists in their subject area. This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. 5. The significance of the minterm partition of the basic space rests in large measure on the following fact. 3. g. 1 Minimization Using Algebraic Manipulations. Solution. Another minterm A’BC’ is shown above right. Problem 3: (a) Plot the following function on a Karnaugh map. e. Simplify further. (a) Consider the function. Electrical Engineering questions and answers. A maxterm, such as A ¯ + B + C ¯, from section 3. 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. 1. The three inputs A, B, and C are the binary representation of the digits 0 through 7 with A being the most-significant bit. VWXYZ represents a 2-out-of-5 coded number whose value equals the number of O's. 27 Given f (a, b, c) = a (b + c). b. State a general rule for finding the expression for F 1 + F 2 given the minterm expansions for F 1 and F 2. 1) (5. 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. 4) Each of three coins has two sides, heads and tails. In order to accurately use the Quine-McCluskey, the function needs to be given as a sum of minterms (if the Boolean function is not in minterm form, the minterm expansion can be found) to determine a minimum sum-of-products (SOP) expression for a function. a) Express F as a minterm expansion (use m-notation) b) Express F as a maxterm expansion (use M-notation) Build Logisim circuits for b) and c) and show that they give same output. A truth table, minterm expansion, maxterm expansion, and Logisim circuits can be used to analyze and represent a given function in digital logic. A Boolean expression generated by x1, x2,. A minterm is a special product of variables in Boolean algebra. A switching circuit had 4 inputs a,b,c, and d and output f. Expert-verified. Express F as a minterm expansion in m-notation. c) Min term expansion of the function . 0 × 21 . Be sure to include the image of your. . ) [5 Points] (b). 0-minterms = minterms for which the function F = 0. Minterm and Maxterm in Standard SOP and Standard POS Term | Digital Electronics LecturesDigital Electronics – Switching Theory & Logic Design(STLD) Lectures(a) Express F as a minterm expansion. Another minterm A’BC’ is shown above right. This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. (b) Find the minterm expansion for Z in decimal form in terms of A, B, C. Maxterm to Minterm conversion: rewrite maxterm shorthand using minterm shorthand replace maxterm indices with the indices not already used E. The output is1 only if the product M×N is <=2. Create a free account to view solutions for this book. + b 0 2 0 Same adder works for both unsigned and signed numbers To negate a number, invert all bits and add 1 As slow as add in worst caseD, and D next to A. Find step-by-step solutions and answers to Exercise 28 from 논리설계기초 - 9788962183948, as well as thousands of textbooks so you can move forward with confidence. Step 1 of 5. 4, General Minterm and Maxterm Expansions. Fla, b, c) M(0,3,4,6,7) a) Construct an Implicant chart to determine all the prime implicants b) Construct a Prime Implicant (Pl) chart and find all the essential prime implicants. 90% (10 ratings) for this solution. Maxterm is the sum of N distinct literals where each literals occurs exactly once. Express your answer in both decimal notation and algebraic formBuild a Full Adder (FA) as described in lecture, using the minterm expansion principle to create a circuit that uses only AND, OR, and NOT gates. Suppose, further, that f is +ve unate in x. From the Digital Design course. not on the maxterm list for F Maxterm Expansion of F maxterm nos. Note that(Use M-notation. How to express a digital logic function in minterm (sum of products) form. (a) Express F as a minterm expansion (Use m-notation): F = ∑ (b) Express F as a maxterm expansion (Use M-notation): F = ∏ (c) Express F’ as a minterm expansion (Use. 2. If S and T are two different trees with ξ (S) = ξ (T),then. Do this repeatedly to eliminate as many literals as possible. Remember that a Full Adder adds a single column of digits from the bitwise sum of two binary numbers. Do 4 and 5. of F minterm nos. 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 = A (B + B’) = AB + AB’. How to express a digital logic function in minterm (sum of products) form. Define ξ (G) = Σd id x d, where id is the number of vertices of degree d in G. Open the downloaded file in Logicly and implement the circuit. Find the minterm expansion equation for F using Quine-McCluskey method and prime chart. Write the maxterm expansion for Z inSupport Simple Snippets by Donations -Google Pay UPI ID - tanmaysakpal11@okiciciPayPal - paypal. For each row with a 1 in the final column, the corresponding product to add to the minterm expansion is. There are 2 steps to solve this one. 민텀 (Minterm) (최소항) 이때 곱의 항 (곱들의 합)을 민텀 (Minterm) 이라고 한다. Minterm is a product of all the literals (with or without complement). Question: Build a Full Adder (FA). Minterm from. Design a combinational logic circuit which has one output Z and a 4. Now download the following starter file for the circuit, saving it in your lab6 folder: lab6task3. 즉 F=x+yz라는 것은 곱의 합 형태이므로 최소항 전개 형태이다. Step 1 of 3. The minterm expansion for (E cup F) has all the minterms in either set. 2: Minterm. ) (c) Express F′ as a minterm expansion. Thus, a minterm is a logical expression of n variables that employs only the complement operator and the conjunction operator. Express F as a maxterm expansion (standart product of sums). ) (b) Express F as a maxterm expansion. Remember that a Full Adder adds a single column of digits from the bitwise sum of two binary numbers. For example from the truth table, express output X in terms of it minterm expansion variables, m Em (mo +mn) X (а, b, с, d) An adder is to be designed which adds two 2-bit binary numbers to. Minterm is represented by m. ) Show transcribed image text. This sum-of-products expansion isCreate a free account to view solutions for this book. 3. The output is to be l only if the product Ni × N, İS (a) Find the minterm expansion for F (b). Each row of a logical truth table with value 1/True can therefore be. Express F as a minterm expansion in boolean expression. d) Are all the minterms covered by the EPI's, if not determine the additional prime implicants (if any) and find out the. (17 points) Y = Thermal expansion can present significant challenges for designers in certain areas, for example when constructing spacecraft, aircraft, buildings, or bridges, but it can have positive uses. Free Boolean Algebra calculator - calculate boolean logical expressions step-by-step. The point to review is that the address of the cell corresponds directly to the minterm being mapped. 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. (Use m-notation. c and d represent the 1st and 2nd bits of a binary number N. the operation is or. Represent the heads and tails status of each coin by a logical value (A for the first coin, B for the second coin, and C for the third coin) where the logical variable is 1 for heads and 0 for tails. Sum of product form is a form of expression in Boolean algebra in which different product terms of inputs are being summed together. Each variable in a minterm appears exactly once, either in its normal form or complemented. , 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. m0+m1+m6+m7. Express F as a minterm expansion in boolean expression. (d) (1 Points) Using summation ( Σ m j ) and product (I M j ) notation, show that the maxterm expansion of F has the same indices as the minterm expansion of F ′. 4. Express F as a maxterm expansion (standard product of sum) 4. Otherwise, F = 0. For example, , ′ and ′ are 3. Other Math questions and answers. Question: Find the minterm expansion of f(a, b, c, d)=a'(b'+d)+acd' and then design the result. Note thatFind the minterm expansion equation for F using Quine-McCluskey method and prime chart. To illustrate, we return to Example 4. Ex : +5 in 4-bit = 0101. In the above truth table, the minterms will be m 2, m 5, m 6 and m. "Note that the sum has five bits to accommodate the possibility of a carry. ) [5 Points] Q2) redo Q1 using the following function [10 Points: 5 points each] F(a,b,c,d)=(a+b+d)(a′+c)(a′+b′+c′)(a+b+c′+d′) Hint: You will need to add the missing variables in each expression by XX′=0 then9. 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. b. Who are the experts? Experts are tested by Chegg as specialists in their subject area. Who are the experts? Experts have been vetted by Chegg as specialists in this subject. 1. Question: Fill in the blanks: . In the chapter on Random Vectors and Joint Distributions, we extend the notion to vector-valued random quantites. Find a) the minterm expansion for b0 and b1 b1=m(0,1,2,4); b0=m(0,3,5,6) and b) the maxterm expansion for b0 =M(1,2,4,7) and b1=M(3,5,6,7). g. If A = 1, the output is the XOR of B and C. 1. Equation (4-1) can be rewritten in terms of m-notation as: This can be further abbreviated by listing only the decimal subscripts in the. 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. Minterm/Maxterm Example Convert the following to POS:(a) Find the minterm expansions for X, Y, and Z. Question: 36 and 37. 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. Otherwise, F = 0. A product term that includes all variable is called a minterm, and an expres sion consisting only of min terms is called a minterm expansion. A combinational switching circuit has four inputs and one output as shown. Write out the full Boolean expressions. Problem #3 (15p) Implement the following function F(expressed using minterm expansion); F(A, B, C, D) = m(1,4,5, 10, 12) + 3d(0, 9, 14, 15) a) Cell numbers are. Final answer. Make sure that you understand the notation here and can follow the algebra in all of the equations. (11 points) (b) Draw the corresponding two-level AND-OR circuit. 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. 20 A bank vault has three locks with a different key for each lock. the algebraic sum of the currents flowing away from any point in a circuit must equal zero. 1. 1. Given the truth table of F(A,B,C) on the right, determine the following: a. "This form is composed of two groups of three. Simplify boolean expressions step by step. a) Express F as a minterm expansion (Use m-notation) b) Express F as a maxterm expansion (Use M-notation) c) Express F’ as a minterm expansion (Use m-notation) d) Express F as a maxterm expansion (Use M-notation)The minterm expansion of f(P, Q, R) = PQ + QR’ + PR’ is(A) m2 + m4 + m6 + m7(B) m0 + m1 + m3 + m5(C) m0 + m1 + m6 + m7(D) m2 + m3 + m4 + m5Like:-facebook pag. The Gray Code belongs to a class of code called minimum-change. (25 Points) 4. There are 2^3 = 8. Chegg Products & Services. The circuit to implement this function. Minterm expansion of F to Minterm expansion of F': in minterm shorthand form, list the indices not already used in FA switching circuit has three inputs (A,B,C) and one output (Z). 1. Use of the minterm expansion for each of these Boolean combinations and the two propositions just illustrated shows that the class of Boolean combinations is independent. . The Tables below represent a three variable input (A,B,C) and single Zoutput. The expression on the right-hand side is a sum of minterms (SoM). (a) Find the minterm expansion for F (both decimal and algebraic form). 2진. A and B represent the first id second bits of an unsigned binary number N. Download Solution PDF. 5. Expert Answer. Express F as a minterm expansion in m-notation. Equivalence of B and C is defined as: (B⊕C)′ 1. It is sometimes convenient to express a Boolean function in its sum of minterm form. Minterm is the product of N distinct literals where each literal occurs exactly once. not on the maxterm list for F Maxterm Expansion of F maxterm nos. Give the minterm and maxterm expansion for each logic. Given F1= Σ m(0, 4, 5, 6) and F2= Σ m(0, 3, 6, 7) find the minterm expression for F1+F2. This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. b. F(A, B, C). Use the minterm expansion principle to create a circuit that uses only AND, OR, and NOT gates. Now, we will write 0 in place of complement variable B'. are the same as minterm nos. A. Show the pin diagram. Express F as a minterm expansion in boolean expression. (b) Find the minterm expansion for Z in decimal form in terms of A, B, C. engineering. (a) Write the minterm expansion for F. Computer Science questions and answers. • Eliminate. GATE CS 2010. Equivalence of B and C is defined as: (B⊕C)′ 1. For example, if ABC = 101, XY = 01. the algebraic sum of the currents entering and leaving any point in a circuit must equal zero. 1. Find the standard product of sums (i. Using algebraic manipulations the required minterm expansion is to expand the given into a standard sum-of-products (minterm expansion) then introduce the missing variables. In general there are different Minterms and different maxterms of n variables. (17 points) X = duha (b) Find the minterm expansion for X. The output signals b0, b1 represent a binary number which is equal to the number of input signals which are zero. A combinational switching circuit has four inputs and one output 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. This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. are those nos. 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. (use M-notation) Expert Solution. Step 2. C and D represent the first and second bits of a binary number N 2. Given a minterm expansion, the minimum sum-of products form can often be obtained by the following procedure: (i) Combine terms by using 𝑋𝑌′+ 𝑋Y =(𝑌′+𝑌)=𝑋. Write the minterm expansion for Z in decimal form and in terms of A,B,C. 2 is. Expert-verified. 64K subscribers Subscribe 1. 5. 자세하게 알아보자. Find the truth table for Z. more. 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. Note that, in addition to the input and output columns, the truth table also has a column that gives the decimal equivalent of the input binary combination, which makes it easy for us to arrive at the minterm or maxterm expansion for the given problem. Computer Science questions and answers. Consider the following function, which is stated in minterm expansion form: F(W,X,Y,Z)=Σm(0,4,5,7,12)+∑d(2,9,11,13,15) Using Karnaugh maps, a. Given one of the following: minterm expansion for F, minterm expansion for F, maxterm expansion for F, or maxterm expansion for F , find any of the other three forms. Using theorems of Boolean algebra, simplify the minterm expansion of F to a form with as few occurrences of each as possible. The function F(A, B, C) = A(B + C') can be expressed as a minterm expansion. (a) Any Boolean expression may be expressed in terms of either minterms or maxterms. Let a = 1. Rather, it should be built by combining four instances of your Full Adder circuit. To open the door, at least two people must insertThis problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. (a) Find the minterm expansion for F. The relationships between the inputs and the outputs are shown below: x3 x2. Who are the experts? Experts have been vetted by Chegg as specialists in this subject. ZMinterm and MAXTERM Expansions 350151 – Digital Circuit 1 ChoopanRattanapoka. Write the maxterm expansion for Z in(Use m-notation. What does minterm mean? Information and translations of minterm in the most comprehensive. Given that F (a, b, c) = ac’ + a’c + b’ Draw the circuit a) Create a truth table for the function b) Express F as a minterm expansion (use m-notation) c) Express F as a maxterm expansion (use M-notation) d) Express F’ as a minterm expansion (use m-notation) e) Express F’ as a maxterm expansion. Using theorems of Boolean algebra, simplify the minterm expansion of F to a form with as few occurrences of each as possible. m2+m4+m6+m7. State a general rule for finding the expression for F1+F2 given the minterm expansions for F1 and F2. Express F as a maxterm. 최소항 전개(minterm expansion)는 정규형 중 논리 함수의 모든 변수들을 곱의 합 형태로 표현한 것이다. Answered 2 years ago. Show transcribed image text. 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. The second. 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. For a boolean function of variables ,. Convert this expression to decimal notation. XY represents a binary number whose value equals the number of O's at the input. Minterm Expansion은 Sigma로 표기를 합니다. Using postulates and theorems of Boolean algebra, simplify the minterm expansion F to a form with as occurrences of each variable as possible. The output is to be 1 only is the product N1*N2 is less than or equal to 2. (a) Minterm expansion of is: To expand the given into a standard sum of products (minterm expansion) then introduce the missing variables in each term as. First, we will write the minterm: Minterm = AB'C' Now, we will write 0 in place of complement variables B' and 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. F(a,b,c,d) = sigma m(1,3,4,5,9,12,15) + sigmad(2,7,8). This circuit takes five inputs: the 4 bits of the first factor: x3, x2, x1, and x0 the 1 bit of the other factor, y. 하지만 G=x (y+z)+w와 같은 경우는 전개를 통해서 G=xy+yz+w로 표현 가능하므로 최소항 전개 형태가. Free Boolean Algebra calculator - calculate boolean logical expressions step-by-step. Meaning of minterm. 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. 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. This observation makes it clear that one can represent any Boolean function as a sum-of-products by taking Boolean sums of all minterms corresponding to the elements of Bn that are assigned the value 1 by the function. (Hint: Start with a minterm expansion of F and combine minterms to eliminate a and a′ where possible. 2. State a general rule for finding the expression for F 1 + F 2 F_{1}+F_{2} F 1 + F 2 given the minterm expansions for F 1 F_1 F 1 and F 2 F_2 F 2 . e. Express F as a minterm expansion in m-notation. Minterm expansion for a function is unique. 1) Given: F (a, b, c) = ab c ′ + b ′ (a) Express F as a minterm expansion. (17 points) Y = Not the question you’re looking for? Post any question and get expert help quickly. Given: f (a, b, c) = a (b + c’). Computer Science questions and answers. GATE CS 2010. To illustrate the importance of reducing the complexity of a Boolean function, consider the following function: (5. b. b) F as a max term expansion is .