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. If A=1, the output is the equivalence of B and C. 1 of 3. Minterm expansion; No lecture on 10/10 (holiday) Lecture on 10/11 (Mon. Most common MINTERM abbreviation full form updated in November 2023. Remember that a Full Adder adds a single column of digits from the bitwise sum of two binary numbers. Review: Binary Encoding of Numbers Unsigned numbers b n-1 2n-1 + b n-2 2 n-2 + . Get the free "Minterm" widget for your website, blog, Wordpress, Blogger, or iGoogle. 1) F 1 ( x, y) = x ⋅ y ′ + x ′ ⋅ y + x ⋅ y. are those nos. 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. Minterm is represented by m. Find the truth table for Z. 2. the algebraic sum of the currents flowing into any point in a circuit must equal zero. Combinational Logic Design Using a Truth Table A f B C. Given F1= Σ m(0, 4, 5, 6) and F2= Σ m(0, 3, 6, 7) find the minterm expression for F1+F2. 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. 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. (17 points) X = (c) Find the maxterm expansion for Y. 즉 n개의 변수로 이루어진 불 (Boolean)식. 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 is a special product of variables in Boolean algebra. That is, the cell 111 corresponds to the minterm ABC above left. If A=1, the output is the equivalence of B and C. The output of the maxterm functions. 9. 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. From Equation (4-13), the minterm expansion of F’ is. ) Show transcribed image text. 9 Given: | Chegg. c) F′ as a min term expansion is . Give each output bit (r1 and r0) its own subcircuit. ) (b) Express F as a maxterm expansion. Answered 2 years ago. 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. 자세하게 알아보자. Give the minterm and maxterm expansion for each logic. Note that the function is unchanged if the exclusive OR is replaced with inclusive OR. (Use M-notation. Note that the function is unchanged if the exclusive OR is replaced with inclusive OR. 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. 민텀을가진다. plus. The result is an another canonical expression for this set of variables. See Answer. 🔗. 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. Minterm 與 Maxterm 是表達一個函式的標準式（Standard form），標準式是一種唯一的表示法，當函式 f 與函式 g 結果相同時，就能找到一個相同的表達式。. 4 (p. Express F as a minterm expansion (standard sum of product) 3. = 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. What does MINTERM mean as an abbreviation? 1 popular meaning. (b) Find the minterm expansion for Z in decimal form in terms of A, B, C. 90% (10 ratings) for this solution. g. 2. Show transcribed image text. ) (d) Express F as a maxterm expansion. Fundamentals of Logic Design (7th Edition) Edit edition Solutions for Chapter 4 Problem 5SG: Study Section 4. Joyligolf8693 is waiting for your help. ) (d) Express F′ as a maxterm expansion. – In formal logic, these values are “true” and “false. (Use M-notation. 9th Edition. 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. In this video, the Sum of Product (SOP) and Product of Sum (POS) form of Representation of Boolean Function is explained using examples. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright. Minterm Expansion은 Sigma로 표기를 합니다. Express F as a minterm expansion in boolean expression. Who are. 4. 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 each term as. Simplify boolean expression to. Minterm expansion = ∑ m (0, 2, 4, 6) ext{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. Any Boolean function can be expressed as a sum (OR) of. 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. 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 combinational switching circuit has four inputs and one output as shown. . Simplify further. f) Write the maxterm expansion of FG' using m/M notation g) Write the minterm expansion of FG' using m/M notation h) Write the canonical POS expansion of FG' in algebraic notation; Design a four input (A3,A2,A1,A0) single output (Z) circuit as follows. engineering. (b) Find the minterm expansion for Z in decimal form in terms of A, B, C. me/tanmaysakpal11-----. Give the minterm and maxterm expansion for each logic. 0-minterms = minterms for which the function F = 0. C and D represent the first and second bits of a binary number N. A Boolean function can be represented in the form of sum of minterms or the product of maxterms , which enable the designer to make a truth table more easily. d) F′ as a max term expansion is . On a piece of paper, create the minterm expansion formula for this truth table. The illustration above left shows the minterm ABC, a single product term, as a single 1 in a map that is otherwise 0s. 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 . The significance of the minterm partition of the basic space rests in large measure on the following fact. A B |С| D 3. Now, we will write 0 in place of complement variable B'. com(Hint: start with a minterm expansion of f and combine minterms to eliminate a and a ' where. Minterms are the fundamental part of Boolean algebra. If a minterm has a single. 민텀을가진다. 2. If S and T are two different trees with ξ (S) = ξ (T),then. If A=0, the output Z is the exclusive-OR of B and C. (20 points) b. 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. 5. 1) (5. The calculator will try to simplify/minify the given boolean expression, with steps when possible. This expression can then be converted to decimal notation. Maxterm is the sum of N distinct literals where each literals occurs exactly once. ) (d) Express F' as a maxterm expansion. (c) Express f' as a minterm expansion (use m. Let G = (V,E) be a graph. ) Keep the first 1, and x amount of 0's before the first one. If A=1, the output is the equivalence of B and C. It will have four outputs (p3, p2, p1, and p0) that correspond to the four bits of the product. 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. The output is 1 iff the input has three consecutive 0’s or three consecutive 1’s. Find the minterm expansion equation for F using Quine-McCluskey method and prime chart. 100% (42 ratings) for this solution. Expert Answer. 100% (42 ratings) for this solution. Simplify further. c. Prove your answer by using the general form of. 1. (5 POINTS EACH) Four chairs are placed in a row: Each chair may be occupied (1) or empty (0). Otherwise, F = 0. b. Step-by-step solution. 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. the algebraic sum of the currents flowing away from any point in a circuit must equal zero. Solution –. 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. The result is an another canonical expression for this set of variables. are the same as maxterm nos. (b) Express f as maxterm expansion (use M-notation). Not the exact question you're looking for? Post any question and get expert help quickly. Computer Science questions and answers. Minterms and Maxterms are important parts of Boolean algebra. For each row with a 1 in the final column, the corresponding product to add to the minterm expansion is obtained as: ∙ ullet ∙ If X i = 1 X_i=1 X i = 1 in that particular row, then we add X i X_i X i to the product. See Answer See Answer See Answer done loadingEngineering. Express F as a minterm expansion in m-notation. c. Maxterm expansion of X: X = (A + B)(A + B') d. 1. It contains well written, well thought and well explained computer science and programming articles, quizzes and practice/competitive programming/company interview Questions. Analysis: F(A, B, C) = AB + BC̅ + AC̅. Express F as a maxterm. 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. Log in to add comment. a and b represents the 1st and 2 nd bits of a binary number M. Minterm is represented by m. 27 Given f (a, b, c) = a (b + c'). the operation is or. For each row with a 1 in the final column, the corresponding product to add to the minterm expansion is obtained as: ∙ ullet ∙ If X i = 1 X_i=1 X i = 1 in that particular row, then we add X i X_i X i to the product. Create a free account to view solutions for this book. State a general rule for finding the expression for F1+F2 given the minterm expansions for F1 and F2. Rather, it should be built by combining four instances of your Full Adder circuit. 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. Expert Answer. Expert Answer. Simplify boolean expressions step by step. d) F′ as a max term expansion is . This is a differential equation problem involving a Taylor expansion series. 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. Problem 3: (a) Plot the following function on a Karnaugh map. Write the complete minimized Boolean expression in sum-of-products form. 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. If A=0, the output Z is the exclusive-OR of B and C. a. are those nos. Express Fas a minterm expansion in boolean expression. g. A and B represe bits of a binary number N,. You'll get a detailed solution from a subject matter expert that helps you learn core concepts. – Each minterm has value 1 for exactly one combination of values of variables. Last updated on Nov 11, 2023 HTET Application date extended! Now, the last date to submit applications is 11th November 2023. Using scientific means, determine the minterm expansion for the given function: F = X'Y + XY' + Y'Z'. Example if we have two boolean variables X and Y then X. 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. It facilitates exchange of packets between segments. Derive Equations of Cout and Sum for a half adder and a full adder using truth tables. Need help with this problem . Y'. , 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. Express F as a maxterm expansion (standard product of sum). Four chairs are placed in a row: |c| A |c| B |c| C |c| D Each chair may be occupied ( 1 ) or empty ( 0 ). Y'. 즉 F=x+yz라는 것은 곱의 합 형태이므로 최소항 전개 형태이다. 5. Start learning . b. 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 a boolean function of variables ,. Computer Science questions and answers. In the above truth table, the minterms will be m 2, m 5, m 6 and m. 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 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. (Use m-notation. . 1. Thus, a minterm is a logical expression of n variables that employs only the complement operator and the conjunction operator. of F list minterms not present in F maxterm nos. b. c and d represent the 1st and 2nd bits of a binary number N. Minterm expansion of F to minterm expansion of F’ use minterms whose indices do not appear e. Therefore, a) F as a min term expansion is . Express Fas a minterm expansion in m-notation. I have a question regarding the process of finding minterms. not on the minterm list for F Minterm. b) F as a max term expansion is . Example: a OR b OR !c = 1 or (a AND NOT (b)) OR (NOT (c) AND d) = 1 are minterms. Step 1 of 4. 2. This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. ) (c) Express F' as a minterm expansion. 1. Above right we see that the minterm A’BC’corresponds directly to the cell 010. Find step-by-step solutions and answers to Exercise 28 from Fundamentals of Logic Design - 9781133628477, as well as thousands of textbooks so you can move forward with confidence. Electronic Design 36. (a) Find the truth table for Z. Simplify boolean expression to. Given F1-Im (0,4,5,6) and F2 -2m (0,3,6,7) find the minterm expression for F1 + F2. Question: 36 and 37. 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. First, we will write the minterm: Minterm = AB'C' Now, we will write 0 in place of complement variables B' and C'. Expert-verified. Be sure to include the image of your. Minterm expansion. 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. The minterm (SOP) and Maxterm (POS) reprsents every possible outcome of Z given variable inputs A, B,C The minterm expansion assumes that for any given logic input the desired logical output Z=0 The Maxterm expansion. Find step-by-step solutions and answers to Exercise 10 from 논리설계기초 - 9788962183948, as well as thousands of textbooks so you can move forward with confidence. (~Y) is a minterm we can express. Maxterm expansion: To find the maxterm expansion, we need to find the terms that are not present in the minterm expansion. During the first step of the method, all prime implicants of a function are. (b) Find the maxterm expansions for Y and Z. Express F as a minterm expansion in m-notation. Computer Science questions and answers. e. Write out the full Boolean expressions. c. If A = 0, the output Z is the equivalence of B AND C. The three inputs A, B, and C are the binary representation of the digits 0 through 7 with A being the most-significant bit. ) (d) Express F as a maxterm expansion. So, the shorthand notation of A+B' is. of F list minterms not present in F maxterm nos. 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. 2. Answered 2 years ago. What does minterm mean? Information and translations of minterm in the most comprehensive. The output is to be l only if the product Ni × N, İS (a) Find the minterm expansion for F (b). (11 points) (b) Draw the corresponding two-level AND-OR. For example, for the second term, you have: Another minterm A’BC’ is shown above right. (5 POINTS EACH) Four chairs are placed in a row: Each chair may be occupied (1) or empty (O). Note that the sum has five bits to accommodate the possibility of a carry. In POS representation, a product of maxterm gives the expression. 1. A: The minterms are those terms that give 1's of the function in a truth table. If A = 0, the output Z is the equivalence of B OR C. Computer Science questions and answers. This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. A switching circuit has four inputs as shown. When expanding the given function. 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. 하지만 G=x(y+z)+w와 같은 경우는 전개를 통해서 G=xy+yz+w로 표현. Write the maxterm expansion for Z inSupport Simple Snippets by Donations -Google Pay UPI ID - tanmaysakpal11@okiciciPayPal - paypal. EE/CompE 243 Digital Logic Session 10; Page 2/4 Spring 2003 (c) F A B C. Express F as a minterm expansion in m-notation. )(3pts) loading. 3. A = AB (C + C’) + AB' (C + C’) = ABC + ABC’+ AB’C + AB’C’. (Use M-notation. 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. N1 B F N2 D O Find the minterm expansion for F. d. Get the free "Minterm" widget for your website,. 모든 불 함수는 민텀들의 논리합으로 표현할 수 있다. Write the minterm expansion for Z in decimal form and in terms of A,B,C. (20 points) d. For example if the inputs x,y,z are 1 1 0 then outputs signals b1,b0 are 01. (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. A combinational switching circuit has four inputs and one output as shown. Find the truth table for Z. a and b represents the 1st and 2 nd bits of a binary number M. A truth table, minterm expansion, maxterm expansion, and Logisim circuits can be used to analyze and represent a given function in digital logic. It takes three inputs: x and y, the two bits being added from this column of the addition. Express F as a maxterm expansion (standard product of sum) 4. 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. 3. Computer Science questions and answers. (b) Express f as maxterm 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. Question: 3. As the name indicates, the excess-3 represents a decimal number, in binary form, as a number greater than 3. Minterm | Maxterm 1. Z' +. 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. (a) Express f as a minterm expansion (use m-notation). 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. Write out the full Boolean expressions. The three inputs A, B, and C are the binary representation of the digits 0 through 7 with A being the most-significant bit. . State a general rule for finding the expression for F1 F2 given the minterm expansions for F1 and F2. 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. 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. Minterm expansion of F to minterm expansion of F’ use minterms whose indices do not appear e. Question 1: For the truth table below; a. maxterm expansion) and draw the corresponding circuit. ) Show transcribed image text. 최소항 전개(minterm expansion)는 정규형 중 논리 함수의 모든 변수들을 곱의 합 형태로 표현한 것이다. (Hint: Start with a minterm expansion of F and combine minterms to eliminate a and a′ where possible. Given expression is. Implement the following functions using an 4:16 decoder OR gates. 6) F (A,B,C)=m3+m4+m5+m6+m7. 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. Convert to maxterm expansion F = M 0M 2M 4 3. 6. See Answer See Answer See Answer done loading(Use M-notation. Step 1 of 3. You may need additional prime implicants F (a, b, c) = m (0, 1, 2, 4, 6) 2. e. Free Boolean Algebra calculator - calculate boolean logical expressions step-by-step. If S and T are two different trees with ξ (S) = ξ (T),then. If a minterm has a single 1 and the remaining cells as 0s, it would appear to cover a minimum area of 1s. (TCO 2) What is a VLAN? (Points : 5) It is a physical segmentation of a layer 2 network. Step 1 of 5. Each variable in a minterm appears exactly once, either in its normal form or complemented. In general there are different Minterms and different maxterms of n variables. . 7. A logic circuit realizing the function f has four inputs A, B, C, and D. This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. 4. Computer Science questions and answers. For each row with a 1 in the final column, the corresponding product to add to the minterm expansion is. Knowledge Booster. 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. If a minterm has a single 1 and the remaining cells as 0 s, it would. 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. (a) Write the minterm expansion for F. (a) Find the minterm expansion for F. 20 A bank vault has three locks with a different key for each lock. To understand better about SOP, we need to know about min term. Write the maxterm expansion for Z in. 5. Question: Due Date: Friday, 3/31/2023 Show your complete work for each problem - Write down the algebraic expression for minterm and maxterms for the following cases. the algebraic sum of the currents entering and leaving any point in a circuit must equal zero. 27 Given f (a, b, c) = a (b + c). For each remaining row, create a minterm as follows:. 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. Step-by-step solution. Simplification in a Boolean algebra. 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. SOP representation is the sum of minterm where minterm is the function variable combination for which the output is high (1).