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. (17 points) X = duha (b) Find the minterm expansion for X. Minterm. Max term expansion of . c) F′ as a min term expansion is . Write the minterm expansion for Z in decimal form and in terms of A,B,C. Question: 3. For each row with a 1 in the final column, the corresponding product to add to the minterm expansion is. 1) F 1 ( x, y) = x ⋅ y ′ + x ′ ⋅ y + x ⋅ y. Find the minterm expansion equation for F using Quine-McCluskey method and prime chart. 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. Using the text editor, Express the each output (X, Y,Z) of the Full Adder circuit below as a minterm expansion. (a) Find the minterm expansion for F. This circuit should not be built using the minterm expansion principle. Indicate the essential prime applicants by putting an "*' before it. (25 Points) 4. Expert Answer. On paper, create the minterm expansion formula for this truth table. 90% (10 ratings) for this solution. Find the maxterm expansion of f2(a,b,c,d)= bc + ac’ + abd’ 7. Prove your answer by using the general form of the minterm expansion. m2+m3+m4+m5. Minterm expansion = ∑ m (0, 2, 4, 6) \text{Minterm expansion}=\sum m(0,2,4,6) Minterm expansion = ∑ m (0, 2, 4, 6) 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. ) (d) Express F' as a maxterm expansion. Find the truth table for Z. Using K-map, determine the Boolean function that the MUX implements. are those nos. No need to simplify on. 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. 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. 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. Minterm Expansion: The minterm expansion of the given boolean function is as follows: AC'D' + A'BC' + A'C'D + BCD' Minterms: AC'D' = m(0) A'BC' = m(4) A'C'D = m(3) BCD' = m(13) So, the minterm expansion is: m(0, 3, 4, 13) 2. Step 1 of 5. If A = 0, the output Z is the equivalence of B OR C. Write the maxterm expansion for Z inSupport Simple Snippets by Donations -Google Pay UPI ID - tanmaysakpal11@okiciciPayPal - paypal. This widget allows to get some helpful information about an arbitrary minterm based on its number and amount of logic variables. the algebraic sum of the currents flowing into any point in a circuit must equal zero. Express F as a minterm expansion in boolean expression. This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. are the same as maxterm nos. 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. Minterm Expansion은 Sigma로 표기를 합니다. F = 1 if two of the inputs are 1. Once the truth table is constructed, then find out the minterm expansion for R and D and simplify if possible, and then draty the curcuit. Download Solution PDF. Express F as a minterm expansion in m-notation. the minterm/maxterm expansions can be obtained from truth tables as described above (or can also obtain minterm expansion by using sum of products and by interoducing the missing variables in each term, X + X' = 1) or for maxterm expression by using X X' =0 and factoring. (Use m-notation. Question 2. 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. C and D represent the first and second bits of a binary number N. The output is to be 1 only if the product N 1 × N 2 is less than or equal to 2. Using postulates and theorems of Boolean algebra, simplify the minterm expansion of F to a form with as few occurrences of each as possible. (17 points) Y = Not the question you’re looking for? Post any question and get expert help quickly. "This form is composed of two groups of three. 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. 4. 64K subscribers Subscribe 1. We consider in this chapter real random variables (i. Use the minterm expansion principle to create a circuit that uses only AND, OR, and NOT gates. Show transcribed image text. 100% (73 ratings) for this solution. Who are the experts? Experts have been vetted by Chegg as specialists in this subject. Step-by-step solution. Write the complete minimized Boolean expression in sum-of-products form. g. 🔗. = 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. Express F as a minterm expansion in boolean expression. Show transcribed image text. F(A, B, C). Using theorems of Boolean algebra, simplify the minterm expansion of F to a form with as few occurrences of each as possible. Computer Science questions and answers. This expression can then be converted to decimal notation. 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 . A: The minterms are those terms that give 1's of the function in a truth table. Define ξ (G) = Σd id x d, where id is the number of vertices of degree d in G. Answered 2 years ago. Solution for Applying the different laws and identities in Boolean algebra, determine the minterm expansion of the given Boolean expression: F(W,X,Y,Z) = X’Z +…Definition 12. Expert Answer. The expression on the right-hand side is a sum of minterms (SoM). It takes three inputs: x and y, the two bits being added from this column of the addition. 1-minterms = minterms for which the function F = 1. Expert-verified. Cheap Textbooks;A switching circuit has four inputs as shown. d) F′ as a max term expansion is . d) Are all the minterms covered by the EPI's, if not determine the additional prime implicants (if any) and find out the. d) Are all the minterms covered by the EPI's, if not determine the additional prime implicants (if any) and find out. F = 1 if two of the inputs are 1. 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. Express F’ as a minterm expansion (Use m-notation): F’ = ∑ Express F’ as a maxterm expansion (Use M -notation): F’ = ∏ There are 2 steps to solve this one. (a) Write the minterm expansion for F. e. Find the truth table for Z. General Minterm and Maxterm Expansions We can write the minterm expansion for a general function of three variables as follows: Section 4. 1. Simplify further. F' as a product of maxterms using M notation. 5. 1. The name ‘minterm’ derives from the fact that it is represented by the smallest possible distinguishable area on the map. For each row with a 1 in the final column, the corresponding product to add to the minterm. This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Step 1 of 4. Assume that we don’t care the value of F when ABC=001. A Boolean expression generated by x1, x2,. Who are the experts? Experts are tested by Chegg as specialists in their subject area. In other words, we are searching for ANY ON-SET minterm of f. 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 Boolean expression or map may have multiple. Explain why some functions contain don’t-care terms. If a minterm has a single 1 and the. Convert between a minterm and a maxterm expansion If f = m i, then f = M j, where each m j is not in f There is a 1-to-1 mapping between a truth table and the minterm/maxterm expansion Minterm & maxterm expansions 16 DESIRED FORM Minterm Expansion of f Maxterm Expansion of f Minterm Expansion of f' Maxterm Expansion of f' N RM. b. 9 Given: | Chegg. During the first step of the method, all prime implicants of a function are. On paper, create the minterm expansion formula for this truth table. 7) F = M 1 M 16 M 18 M 20 M 24 M 26 + M 3 M 4 M 5 M 15 M 18 M 24 M 26 M 28 M 31 F = M 1 M 16 M 18 M 20 M 24 M 26 M 3 M 4 M 5 M 15 M 18 M 24 M 26 M 28 M 31. Problem 3: (a) Plot the following function on a Karnaugh map. me/tanmaysakpal11-----. GATE CS 2010. State a general rule for finding the expression for F1 F2 given the minterm expansions for F1 and F2. Express F as a minterm expansion in m-notation. 1 Minimization Using Algebraic Manipulations. The second. and Mi drops out of the expansion; however, Mi is present if ai = 0. To understand better about SOP, we need to know about min term. How to express a digital logic function in minterm (sum of products) form. See below for information about how to import your Full Adder, as well as for the steps needed to export Ripple-Carry Adder. . A switching circuit had 4 inputs a,b,c, and d and output f. If a minterm is covered by only 1 prime implicant then it is an essential prime implicant and must be included in the minimum sum of. This article explores the minterms in depth in addition to the two-variable, three variable and four variable minterm tables and K-maps. A and B represe bits of a binary number N,. Computer Science questions and answers. Another minterm A’BC’ is shown above right. The binary number of the maxterm A+B' is 10. ”. E. the minterm/maxterm expansions can be obtained from truth tables as described above (or can also obtain minterm expansion by using sum of products and by interoducing the missing variables in each term, X + X' = 1) or for maxterm expression by using X X' =0 and factoring. General Minterm and Maxterm Expansions list maxterms not present in F minterm nos. engineering. Example (PageIndex{12}) A hybrid approach. 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. (b) Find the maxterm expansions for Y and Z. Create a free account to view solutions for this book. Minterm = A00; We will write 1 in place of non. Each row of a logical truth table with value 1/True can therefore be. The relationships between the inputs and the outputs are shown below: x3 x2. Problem 3: (a) Plot the following function on a Karnaugh map. 2. implement the simplified Boolean function with logic gates. . Another minterm A’BC’ is shown above right. A maxterm, such as A ¯ + B + C ¯, from section 3. Electronic Design 36. (d) Express F' as a maxterm expansion (use M-notation). State a general rule for finding the expression for F1 F2 given the minterm expansions for F and F2. Minterm expansion of Y: Y = A'B' + A'B c. – In digital systems, these values are “on” and “off,” 1 and 0. Use the minterm expansion principle to create a circuit that uses only AND, OR, and NOT gates. the algebraic sum of the currents flowing away from any point in a circuit must equal zero. 민텀을가진다. 1 of 3. ABC indicates. Verified. 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. 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. A switching circuit has four inputs as shown. Maxterm is the sum of N distinct literals where each literals occurs exactly once. = 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. (a) Write the minterm expansion for F. (Use M-notation. If A=1, the output is the equivalence of B and C. Maxterm expansion of X: X = (A + B)(A + B') d. 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). Therefore, the minterm expansion for is . A B C D 3. (c) Express f' as a minterm expansion (use m-notation). (b) Find the maxterm expansion for F (both decimal and algebraic form). 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. Question: Fill in the blanks: . Task 2: Four chairs are placed in a row: А B с D Each chair may be occupied (1) or empty (0). 하지만 G=x(y+z)+w와 같은 경우는 전개를 통해서 G=xy+yz+w로 표현. Plot the terms on a suitable K-Map and then (a) find out the essential primo implicants (if any) and then (b) determine the minimum SOP for the function. In general there are different Minterms and different maxterms of n variables. (use M-notation) (c) Express F' as a minterm expansion. . 4 (p. Minterm is represented by m. It will have four outputs (p3, p2, p1, and p0) that correspond to the four bits of the product. Trending now This is a popular solution! Step by step Solved in 2 steps. Given F1=Σ m (0,4,5,6) and F2-yn (0,3,6,7) find the minterm expression for F1 F2. Note that the function is unchanged if the exclusive OR is replaced with inclusive OR. (Use m-notation. 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. 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. Earlier, HTET Notification 2023 Out on 30th October 2023. , real-valued random variables). 5. Write out the full Boolean expressions. If S and T are two different trees with ξ (S) = ξ (T),then. Maxterm expansion of Y: Y = (A + B')(A' + B) a. Fundamentals of Logic Design (6th Edition) Edit edition Solutions for Chapter 4 Problem 3SG: Study Section 4. d) The decimal integers which are not in the min-terms list are called max-term of the function. Find the standard product of sums (i. (~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. Minterm is the product of N distinct literals where each literal occurs exactly once. In Sum Of Products (SOP), each term of the SOP expression is called a "minterm" because, say, an SOP expression is given as: F(X,Y,Z) = X'. Minterms are the fundamental part of Boolean algebra. 3. The truth table for the combinational circuit with inputs A and B representing the Hamming distance between the input and the number "01" can be drawn as follows:Transcribed Image Text: The sum of 11101 + 10111 equals Find the minterm expansion of AB + ACD * A'B'CD + ABC'D + AB'CD' + 110011 AB'CD' + A'BCD АВСD' + АВСD. maxterm expansion) and draw the corresponding circuit. Use the minterm expansion principle to create a circuit that uses only AND, OR, and NOT gates. Next, use minterm expansion twice – once for each output bit – and create a separate formula for each of those bits. Minterm expansion: We can rewrite F as a sum of minterms by expanding the given expression: F(a,b,c) = abc' + ab'c' + a'bc' + a'b'c' So, the minterm expansion is: $oldsymbol{F(a,b,c) = Sigma m(3, 5, 6, 7)}$ b. Need help with this problem . The calculator will try to simplify/minify the given boolean expression, with steps when possible. In the chapter on Random Vectors and Joint Distributions, we extend the notion to vector-valued random quantites. 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. EE/CompE 243 Digital Logic Session 10; Page 2/4 Spring 2003 (c) F A B C. XY represents a binary number whose value equals the number of O's at the input. 100% (42 ratings) for this solution. Each of three coins has two sides, heads and tails. r. Maxterm expansion: To find the maxterm expansion, we need to find the terms that are not present in the minterm expansion. Question: 1) Given: F (a,b,c) = a'bc + (a) Express F as a minterm expansion. b. 29 Find both the minterm expansion and max-term expansion for the following func- tions, using algebraic manipulations: (a) B, C, D) = AB +A'CD . This expression can then be converted to decimal notation. Now download the following starter file for the circuit, saving it in your lab6 folder: lab6task3. C and D represent the first and second bits of a binary number N 2. Given f ( a , b , c ) = a ( b + c ′ ) Express f as a minterm expansion (m-notation) and maxterm expansion (M-notation) Q3. (5 POINTS EACH) Four chairs are placed in a row: Each chair may be occupied (1) or empty (0). Express F as a maxterm expansion (standard product of sum) 4. A literal is a single variable with in a term which may or may not be complemented. Be sure to include the image of your. To, prove the answer, the minterms can be expanded using. The circuit to implement this function. Minterm and Maxterm Expansions. . 1. ) (c) Express F′ as a minterm expansion. MINTERM Meaning. State a general rule for finding the expression for F 1 + F 2 given the minterm expansions for F 1 and F 2. State a general rule for finding the expression for F1 F2 given the minterm expansions for F1 and F2. ) (b) Express F as a maxterm expansion. It contains well written, well thought and well explained computer science and programming articles, quizzes and practice/competitive programming/company interview Questions. b) F as a max term expansion is . . 하지만 G=x (y+z)+w와 같은 경우는 전개를 통해서 G=xy+yz+w로 표현 가능하므로 최소항 전개 형태가. Electrical Engineering questions and answers. The minterm is described as a sum of products (SOP). Minterm expansion; No lecture on 10/10 (holiday) Lecture on 10/11 (Mon. (17 points) X = (c) Find the maxterm expansion for Y. 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. Do this repeatedly to eliminate as many literals as possible. See below for information about how to import your Full Adder, as well as for the steps needed to export Ripple-Carry Adder. Write the minterm expansion for Z in decimal form and in terms of A,B,C. Each chair may be occupied (1) or empty (0). The function F can be expressed as: F(A,B,C) = (A'B'C) + (A'BC) + (AB'C) + (ABC')Question: Q1- Which of the following is a tautology? a) -pv-q b) (p^g) → (q vp) c) (p^g)^(-(pvg)) d) pv (-p^q) e) (p→q) → p Q2 - Given Karnaugh map (see figure), write simplified minterm expansion. Note that the sum has five bits to accommodate the possibility of a carry. Expert-verified. If a minterm has a single. (Use M-notation. (a) Find the truth table for Z. ) [5 Points] Not the question you’re looking for? Post any question and get expert help quickly. Not the exact question you're looking for? Post any question and get expert help quickly. (Use m-notation. Use Karnaugh Maps to simplify the minterm expansion with don't cares. ,, a product term in which each of the variables appears once (either in its complemented or uncomplemented form) is called a minterm. (2 points) An 8×1 MUX has control (or, select) variables A, B, C. 🔗. 4. A logic circuit realizing the function f has four inputs A, B, C, and D. How to express a digital logic function in minterm (sum of products) form. F = 1 if two of the inputs are 1. (a) Express F as a minterm expansion (use m-notation). (b) Express f as maxterm expansion (use M-notation). Find the truth table for Z. Express F as a minterm expansion in m-notation. An excess-3 code is obtained by adding 3 to a decimal number. + 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. General Minterm and Maxterm Expansions list maxterms not present in F minterm nos. 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. Each group of three is a 'minterm'. 즉 n개의 변수로 이루어진 불 (Boolean)식. 100% (73 ratings) for this solution. Using theorems of Boolean algebra, simplify the minterm expansion of F to a form with as few occurrences of each as possible. Give the minterm and maxterm expansion for each logic function described. (Use M-notation. A combinational switching circuit has four inputs and one output as shown. The relationships between the inputs and the outputs are shown below: x3 x2. (a) Find the minterm expansion for F (both decimal and algebraic form). Write the general form of the minterm and maxterm expansion of a function of n variables. Implement the following functions using an 4:16 decoder OR gates. A combinational switching circuit has four inputs and one output as shown. (b) Express F as a maxterm expansion (use M-notation). Question: Build a 4x1 multiplier in the space provided. A Boolean expression or map may have multiple. Prove your answer by using the general form of. This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Computer Science. 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. I have a question regarding the process of finding minterms. Problem 2 Create a free account to view solutions for this book. Using thesimple floating-point model described in the text (therepresentation uses a 14-bit format, 5 bits for the exponent with abias of 15, a normalized mantissa of 8 bits, and a single sign bit forthe number), perform the following calculations, paying closeattention to the order of operations. Give a truth table defining the Boolean function F. What is dont. Question: Find the minterm expansion of f(a, b, c, d)=a'(b'+d)+acd' and then design the result. keep the 1 at the on the right. t. Task 1: Given that F(a, b, c) = ac' + a'c+b' 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 (use M-notation) f) Build Logisim circuits for b) and c) and show that. d) The decimal integers which are not in the min-terms list are called max-term of the function. I have a question regarding the process of finding minterms. 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. Given F1= Σ m(0, 4, 5, 6) and F2= Σ m(0, 3, 6, 7) find the minterm expression for F1+F2. ) Show transcribed image text. On a piece of paper, create the minterm expansion formula for this truth table. 27 Given f (a, b, c) = a (b + c). , F(A,B,C) = ΠM(0,1,2) = Σm(3,4,5,6,7) 3. Minterm expansion; No lecture on 10/10 (holiday) Lecture on 10/11 (Mon. (b) Find the minterm expansion for Z in decimal form in terms of A, B, C. schedule) No labs this week; 10/11: last day to drop without a ‘W’. Question: 50 pts. What the expression minterm is intended to imply it that each of the groups of three in the expression takes on a value of 1 only for one of the eight possible combinations of X, Y and Z and their inverses. Z = ∑ (c) Find the maxterm expansion for Z in both decimal form in terms of. Give the minterm and maxterm expansion for each logic. 민텀 (Minterm) (최소항) 이때 곱의 항 (곱들의 합)을 민텀 (Minterm) 이라고 한다. The minterm expansion for \(E \cap F\) has only those minterms in both sets. Note: If a truth table is given, and if the output is 1 then it corresponds to minterm and in case the output is 0 then it corresponds to 0. 민텀 (Minterm) (최소항) 이때 곱의 항 (곱들의 합)을 민텀 (Minterm) 이라고 한다. Meaning of minterm. logicly. Find the. Do this repeatedly to eliminate as many literals as possible. Question: 16. . The circuit to implement this function. Question: Build a Full Adder (FA). The output signals b0, b1 represent a binary number which is equal to the number of input signals which are zero. 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. State a general rule for finding the expression for F1+F2 given the minterm expansions for F1 and F2. A switching circuit has three inputs (A, B, C) and one output Z. Combinational Logic Design Using a Truth Table A f B C. 100% (42 ratings) for this solution. Computer Science. 1. If A=1, the output is the equivalence of B and C. Ex : +5 in 4-bit = 0101. Prove your answer by using the general form of the minterm expansion. Find more Mathematics widgets in Wolfram|Alpha. Answer to Solved Homework 2 Due 9/22/2022 P-4. net dictionary. A and B represent the first and second bits of a binary number N. This means the (j)th element of the vector for (E cup F) is the maximum of the (j)th elements for the. If A=0, the output Z is the exclusive-OR of B and C. Given f ( a , b , c ) = a ( b + c ′ )In this exercise we have to use the knowledge of probability to calculate the function that will correctly express the situation described, in this way we can say that:. Solution for The minterm expansion of f(P, Q, R) = PQ + QR + PR is. 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. Determine the minterm and maxterm for each of the following: a).