The value corresponding to 1 or true is chosen as the minterm. As nouns the difference between maxterm and minterm is that maxterm is. A sum term containing all the input variables of the function in either complemented or uncomplemented form is called a maxterm. Maxterms using three variables. if we have. A maxterm is a Boolean expression resulting in a 0 for the output of a single cell expression, and 1s for all other cells in the Karnaugh map, or truth table. , ), there are 2n minterms for n variables. In the above truth table, the minterms will be m 2, m 5, m 6 and. I have an expression I'm not sure if i got right. To find the POS expression with the help of a truth table (figure 2. Minterm is product of boolean variables either in normal form or complemented form. Minterms and Maxterms Examples- The examples of minterms and maxterms are- Example-01: For any function consisting of 2 Boolean variables A and B, we have-Number of minterms possible = 2 2 = 4. In this tutorial we will learning about Minterm and Maxterm. A product is called a minterm because it has minimum-satisfiability where as a sum is called a maxterm because it has maximum-satisfiability among all practically interesting boolean functions. Each maxterm has a value of zero for exactly one combination of values of A, B, and C. Boolean Algebra 1. in a product of Maxterm form. Draw the circuit using basic gates: (a + b)(c + a'd'). Min-Terms and Max-Terms in boolean algebra. In the case of POS, the Maxterms are defined as ‘M’ 5: It gives HIGH(1) output. a b c + a b c ′ + a c ′ b + a c ′ b ′. Multiple-choice. For example, the Wikipedia article posits. A minterm is a product of all literals of a function, a maxterm is a sum of all literals of a function. 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. That is the binary representation or value. "This form is composed of two groups of three. 2],. Sprat. A minterm is any product of n literals where each of the n variable appears once in the product. Define Minterm and Maxterm. [4 marks] (b) The truth table of the function X is shown in Table 1 Table 1 A|B|C 0 0 0 (i) Write the Boolean expression for function X in maxterms. A minterm is a Boolean expression resulting in 1 for the output of a single cell, and 0 s for all other cells in a Karnaugh map, or truth table. 3 Answers. (Without using Karnaugh Map) A: Introduction of Maxterms and Minterms: In digital logic, the output of any function is either 0 or 1…Why is minterm called 'minterm' and why is maxterm called 'maxterm' in Boolean algebra? - Quora. Example: On 2 variables x and y, the maxterms are: x'+y', x'+y, x+y' and x+yEach maxterm has a value of zero for exactly one combination of values of A, B, and C. If a function has n variables, then it has 2 n minterms. A product is called a minterm because it has minimum-satisfiability where as a sum is called a maxterm because it has maximum-satisfiability among. We can introduce a very convenient method of shorthand notations to express logical functions with the help of the minterms and maxterms. . The name ‘minterm’ derives from the fact that it is represented by the smallest possible distinguishable area on the map. 1 pt. Indexing maxterms. If you replace the combinations from the previous bracket to the terms in the last bracket, all of them will produce 1 (or TRUE). The convention for calling these terms "minterms" and "maxterms" does not correspond to 1 being greater than 0. Maxterm Also known as the standard sum or canonic sum term. What is the number in the output for the Maxterms? 1. In Boolean terms, these combinations correspond to the terms {X'YZ',X'YZ,XYZ',XYZ}. • A maxterm is the sum of N distinct literals where each literal occurs exactly once. Sprat. xy is not a minterm because z is missing. Now, we will write 0 in place of complement variable B'. , minterm) of n variables [x. Express F as a minterm expansion in boolean expression. What if instead of representing truth tables, we arranged in a grid format. Difference Between Minterm and Maxterm Minterm noun In Boolean algebra, a product term in which each variable appears once (in either its complemented or uncomplemented form). Sorted by: 1. Sardine vs. Question 4: Consider the following truth table for the function z: w w х y Z 0 О о о 0 1 0 1 0 O 1 1 1 1 1 0 1 1 0 0 0 O O O O O 1 НО 1 1 01 1 1 1 1 (a) Find both the minterm and maxterm lists for z. Finding minterms from a boolean expression. In boolean algebra, some boolean functions are stated in Canonical Disjunctive Normal form known as minterm and others in Canonical Conjunctive Normal form known as maxterm. A minterm is the product of N distinct literals where each literal occurs exactly once. If a minterm has a single 1 and the remaining cells as 0 s, it would appear to cover a minimum area of 1 s. A maxterm, such as A ¯ + B + C ¯, from section 3. • A maxterm is the sum of N distinct literals where each literal occurs exactly once. 2) Canonical to minima. boolean function. Dijital devre tasarımda kullanılan Maxterm ve Minterm kavramlarını inceledik. To find the simplified boolean expression in the SOP form, we combine the product-terms of all individual groups. ) Draw the logic gates of the simplified function X. Canonical Product or Product of Maxterms (PoM) A product of sums in which each sum term is a maxterm. Minterms and Maxterms are the each individual term of SOP and POS form respectively. 모든 불 함수는 민텀들의 논리합으로 표현할 수 있다. Farewell vs. In boolean algebra, some boolean functions are stated in Canonical Disjunctive Normal form known as minterm and others in Canonical Conjunctive Normal form known as maxterm. Comparison of one minterm (a) versus one maxterm (b) on a Karnaugh map. This widget allows to get some helpful information about an arbitrary minterm based on its number and amount of logic variables. Example: On 2 variables x and y, the minterms are: x'∙y', x'∙y, x∙y' and x∙y • A maxterm of n variables is a sum term that contains n literals from all the variables. 1k points) basics of boolean algebra; 0 votes. Source for information on maxterm: A Dictionary of Computing dictionary. You can correct this omission, if. Goodbye. (a) Define minterm and Maxterm with an example. 0. For the output, maxterm is a combination of the input variables that produces a 0 at the output. SOP is formed by considering all the minterms, whose output is HIGH(1) POS is formed by considering all the maxterms, whose output is LOW. 5. Maxterms correspond to a “0” on the cube. Best answer A minterm is a product! AND) of all variables taken either in their direct or complemented form. 1], [x. Embed this widget ». 1. 7k points) class-12; 0 votes. . answer: minterm :. e 2 n / 2 = 2 n-1. 자세하게 알아보자. BOOLEAN ALGEBRA •STANDARD FORMS-SUM OF MINTERMS-MAXTERMS-PRODUCT OF MAXTERMS • Given an arbitrary Boolean function, such as how do we form the canonical form for: • sum-of-minterms • Expand the Boolean function into a sum of products. Define and draw the logical symbol of demultiplexer. What is the difference between a minterm and a maxterm? 3. A minterm is a special product of literals, in which each input variable appears exactly once. Definitions of Minterms and Maxterms: Suppose we’re dealing with n Boolean variables. Initially multiplying out to. 3 Answers Sorted by: 1 The underlying goal of using minterms is to simplify the logic used to reach a defined output. Multiple-choice. First fill the cells with 1’s in SOP and 0’s in POS. 1. e. . Sprat. 7. e. Given a truth table, write the function (or its complement) as both a minterm expansion (standard sum of products) and a maxterm expansion (standard product of sums). 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. In general, a minterm of n variables is a product of n literals in which each variable appears exactly once in either true or complemented form, but not both. Digital Electronics: SOP and POS Form Examples. A maxterm, such as A ¯ + B + C ¯, from section 3. Source for information on maxterm: A Dictionary of Computing dictionary. (b) Express F and F’ in the sum of minterms in algebraic form. Definition of minterm: A standard product term, also called a minterm, is a product term that includes each variable of the problem, either uncomplemented or complemented. Terminology for Maxterms. y. Each variable in the maxterm is primed if the corresponding bit in the equivalent binary number is a 1 and unprimed if it is a 0. ∑ (sum) and Π (product) notation 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. All the maxterms in a product of maxterms should have the same variables, although each maxterm should differ from every other one by the pattern of complementation of those variables. 3. Definition of minterm in the Definitions. Write the minterm and Maxterm for a function F(x,y,z) when x =1, y = 0, z = 0. So, the shorthand notation of A+B' is. 3-inputs = 3-D = cube. Other product terms correspond to larger and larger subspaces as they have fewer and fewer variables. (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. The maxterm for each combination of the variables that produce a 0 in the function and then taking the AND of all those terms. The full subtractor is used to subtract three 1-bit numbers A, B, and C, which are minuend,. A Maxterm is a term that includes all the variables of a Boolean function in either their complemented or uncomplemented form. Maxterm – sum of two or more literal using ORing of each literal. ΠM indicates product of maxterms. 1 answer. D. Electrical Engineering. In the minterm, each uncomplemented term is assigned ‘1’, and. int reverse( int ) and void check( ). a) Find its minterm and maxterm expansions. Question: EXPERIMENT 2 IMPLEMENTATION OF BOOLEAN FUNCTIONS WITH DIGITAL GATES 2. Bir örnek üzerinden anlatılanları pekiştirdik. Given an algebraic expression for a function, expand it algebraically to obtain the minterm or maxterm form. The following truth-table corresponds to the given function: 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. A maxterm, such as A ¯ + B + C ¯, from section 3. For the output, maxterm is a combination of the input variables that produces a 0 at the output. VDOM DHTML tml>. 3, Minterm and Maxterm Expansions. combined by an OR operation, they are called maxterms or standard sums. (algebra) A sum that is a logical OR of a set of variables. Advertisement Hacket Hacket Each row of a truth table can be associated with a minterm and a maxterm. With n variables, 2n different maxterms are possible. In maxterm, each uncomplemented term is indicated by ‘0’ and each complemented term is indicated. The augent and addent bits are two input states, and 'carry ' and 'sum 'are two output states of the half adder. In the minterm, each uncomplemented term is indicated by ‘1’, and each complemented term is indicated by ‘0’. A maxterm, such as A ¯ + B + C ¯, from section 3. Tabel kebenaran. . Truth table representing minterm and maxterm Minterms Maxterms X Y Z Product Terms Sum Terms 0 0 0 m 0= ! ⋅$⋅% = min(!,$,%) MWhat is a Minterm? Is an AND function with all the variables. g. . 1. Sardine vs. net dictionary. Caranya adalah membangun gerbang dengan cara mendesain lebih dahulu tabel kebanarannya, baru dialihkan ke dalam bentuk gerbang. Maxterms are represented as ‘M’ 4. By 'simplify' the logic I mean that there could be at least 3 possible goals. A Don’t Care cell can be represented by a cross (X) or minus (-) or phi (Φ) in K-Maps representing an invalid combination. A Boolean function can be expressed, canonically, as a sum of minterms, where each minterm corresponds to a. 1-maxterms = maxterms for which the function F = 1. Multiple-choice. Also, Boolean functions can be simplified using Karnaugh map ( K - map) without using Boolean theorems, by transferring a function to K-map and reading simplified function from K-map. 16 Practical Ninjas 77. The binary number of the maxterm A+B' is 10. That means a maxterm is a sum of variables and the variables may be with complement or without complement. (5 pts) Define sequential circuit in a. Disjunctive Normal Forms or Sum of Products or (SOP): A Boolean expression over ( {0, 1}, ∨,∧,') is said to be in disjunctive normal form if it is a join of minterms. 민텀을가진다. The given Boolean function is in canonical PoS form. The Boolean equation description of unsimplified logic, is replaced by a list of maxterms. That means that if you determine either one of the lists, you can determine. In a truth table a maxterm or a minterm matches only one row. A minterm is a Boolean expression resulting in 1 for. Maxterm=B'+C Shorthand notation for maxterm We know that, when Boolean variables are in the form of maxterm, the variables will appear in sum. These. Boolean Algebra. Forum. Any Boolean function can be expressed as a sum of its 1- minterms and the inverse of the function can be expressed as a sum of its 0- minterms. For a paid solution, you can contact me on dhiman. x’+ y’, x’+ y, x + y’, x + y Each of these four OR terms represents one of the distinct areas in the Venn diagram and is called a maxterm or standard sum. For y= f (a,b), two variables (n=2), what is mi. , where each variable is used once and once only. I'm sure there is something wrong. Example: (x 1 '∧x 2 '∧x 3 ')∨ ( x 1 '∧x 2 ∧x 3 ' )∨ (x 1 ∧x 2 ∧x 3) is a Boolean expression in disjunctive normal form. Half Adder. Any Boolean function can be expressed as a product of its 0-Principle Conjunctive Normal Form (PCNF) : An equivalent formula consisting of conjunctions of maxterms only is called the principle conjunctive normal form of the formula. These concepts are dual because of their complementary-symmetry relationship as expressed by De Morgan's laws . Topics: How to Find Minterm and Maxtermat 5:55 I have written wrong symbol. 1 answer. (Also known as a standard product term) – Each minterm has value 1 for exactly one combination of values of variables. Any Boolean function can be expressed as a sum of its 1- minterms and the inverse of the function can be expressed as a sum of its 0- minterms. in which each appears exactly once in true or complemented form. Each variable in the maxterm is primed if the corresponding bit in the equivalent binary number is a 1 and unprimed if it is a 0. What are minterms and maxterms in digital electronics?A minterm is a Boolean expression resulting in 1 for the output of a single cell, and 0 s for all other cells in a Karnaugh map, or truth table. Also, Boolean functions can be simplified using Karnaugh map ( K - map) without using Boolean theorems, by transferring a function to K-map and reading simplified function from K-map. define minterm and maxterm - 53755922. Define the main( ) function to create an object and call the functions accordingly to enable the task. If there are n variables for a given boolean function then, the K-map will have 2. , 0) for just one combination of the input variables. This video series starts at the very beginning and shows each step in the design of modern computing hardware. Name any two of the three major classes of instructions in RISC-VISA. Electrical Engineering. 2진. Umarım yararlı olmuştur. Assuming the function is f(x,y,z), what is an example of a minterm? 4. Minterm and Maxterm Expansions Canonicity Minterm and maxterm expansions are canonical representations, that is, two functions are equivalent iff they have the same minterm and maxterm expansions Recall truth tables are also a canonical representation of Boolean functions 12 Minterm and Maxterm Expansions Complementation f' = m0 +. as a sum of minterms. g. Other product terms correspond to larger and larger subspaces as they have fewer and fewer variables. Wichtig @ 1:25Minterm: Erstelle Term aus allen Eingaengen, die am. Source for information on minterm: A Dictionary of Computing dictionary. queenaishusharu queenaishusharu 25. If a minterm has a single 1 and the remaining cells as 0 s, it would appear to cover a minimum area of 1 s. Maxterms are also referred to as standard sums or canonical sums. 3 (p. If a minterm has a single 1 and the. a single variable or logical sum of several variable is called as maxterm. a. Karnaugh Map is a two-dimensional graphical representation of the input and output conditions which can minimize the Boolean expression involving 2, 3, 4 and 5 variables. Since there are three min-terms x 1. For. Minterms are represented as ‘m’ It is product of maxterms. minterm or standard product. 1k points) basics of boolean algebra; 0 votes. which gave me. Solution: F' = (x + y z)' = (x + (y z))'= x' (y' + z')= (x' y') + (x' z')= x' y' (z AND (multiply) has a higher precedence than OR (add) use dual or De Morgan’s Law use distributive law to change to sum of AND terms combined by an OR operation, they are called maxterms or standard sums. 6: In SOP, we can get the final term by adding the product terms. I need to do minterm and maxterm expansion. - Each minterm = 1 for only one combination of values of the variables, = 0 otherwise Definition: a maxterm of n variables is a sum of the variables in which each appears exactly once in true or. A minterm is a Boolean expression resulting in 1 for the output of a single cell, and 0 s for all other cells in a Karnaugh map, or truth table. 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. What does minterm mean?. A minterm is a product of all literals of a function, a maxterm is a sum of all literals of a function. Minterm | Maxterm 1. Example: a OR b OR !c = 1 or (a AND NOT (b)) OR (NOT (c) AND d) = 1 are minterms. It has been seen earlier that each individual term (Ā, B,. z)… A: Min-term is the product of boolean variables either in normal form or complement form. (4 points) (b) Find both the minterm and maxterm lists for the. Simplify function X. In POS representation, a product of maxterm gives the expression. Thus A = B = C = 0 A + B + C = 0 and is designated M 0 Note: The maxterm is the complement of the corresponding minterm f = (A + B + C) (A + B + C' ) (A + B' + C) is an example of a function written as a product of maxterms. Terdapat 2 macam bentuk gerbang, yaitu : Bentuk Minor (Minterm) / Sum of Product (SOP) Bentuk Maximum (Maxterm) / Product of Sum (POS) Gambar 1. The underlying goal of using minterms is to simplify the logic used to reach a defined output. Since maximum number of terms possible = 2 n, so we choose half of the terms i. Winter 2010 CSE370 - IV - Canonical Forms 7 Regular logic Need to make design faster Need to make engineering changes easier to make Simpler for designers to understand and map to functionality harder to think in terms of specific gates easier to think in terms of larger multi-purpose blocks Winter 2010 CSE370 - IV - Canonical Forms 8a Minterm is a single field with an entry '1', a Maxterm is a single field with an entry '0'. combined by an OR operation, they are called maxterms or standard sums. i. A Boolean function can be represented in two forms: 1) POS (Product of sum) 2) SOP (Sum of products) SOP representation is the sum of minterm where minterm is the function variable combination for which the output is high (1). The steps for the maxterm are same as minterm: In the first step, we will write the term consisting of all the variables Next, we will write 0 in place of all the complement variables such as ~A or A'. Consider two binary variables x and y combined with an OR operation. maxterm (standard sum term) A sum (OR) of n Boolean variables, uncomplemented or complemented but not repeated, in a Boolean function of n variables. A minterm is any product of n literals where each of the n variable appears once in the product. 2. n. Fundamentals of Logic Design (6th Edition) Edit edition Solutions for Chapter 4 Problem 3SG: Study Section 4. For the output, maxterm is a combination of the input variables that produces a 0 at the output. g. Definition: a maxterm of n variables is a sum of the variables. 3), record the binary values having the output 0. I assume. A function in the form of the " sum " (OR) of minterms, e. If A = 0, then does A or A′ appear in the minterm? In the maxterm? Definitions of Minterms and Maxterms: Suppose we’re dealing with n Boolean variables. You can correct this omission, if. What is the difference between a variable and literal? 2. a single variable or logical product of several variables is called as minterms variables may be or may not be changed. Fundamentals of Logic Design (6th Edition) Edit edition Solutions for Chapter 4 Problem 3SG: Study Section 4. Every minterm would be the complement of their corresponding maxterm. I simplified the given function into a single minterm and a single maxtermQ: 5) Write the maxterm function F1 = M1. We demonstrate the main results for the case of generalized parallel dynamical systems induced by a minterm, what assure the same results in the case induced by maxterm thanks to the duality principle. 1) Canonical to minimal SOP form conversion. Identify minterms or maxterms as given in problem. Maxterm can also be represented using binary numbers where each non-complemented variable is represented using 0 and complemented variable using 1, and the decimal equivalent of this binary word is represented as a subscript of M as M0, M2, M2, etc. Meaning of minterm. This is an introductory video on K-maps in digital electronics series. Finding minterms of a 5-var Boolean Expression having 10 terms. As nouns the difference between maxterm and minterm is that maxterm is a sum that is a logical OR of a set of variables while minterm is in Boolean algebra, a product term in which each variable appears once (in either its complemented or uncomplemented form). o Example, where n=3 and the variables are x, y and z: Then, xyz, xy’z, xy’z’ are all miterms. If the inputs are A and B, then maxterms are A’+B’, A’+B, A+B’, A+B. A minterm l is a product (AND) of all variables in the function, in direct or complemented form. ©2004 Brooks/Cole 4. a. The missing minterms of the POS form are written as maxterms of the POS form. Each minterm has the truth value T for exactly one combination of the truth values of the variables X and Y. A minterm is a product of all literals of a function, a maxterm is a sum of all literals of a function. . The truth table for Boolean expression F is as follows: Inputs. ABC (111) => m 7 – A function can be written as a sum ofEach maxterm has a value of zero for exactly one combination of values of A, B, and C. Step 5: Lastly, we find the boolean expression for the Output. 625 = 600 + 20 + 5. Before we can talk about constructing the SOP and POS forms from the Truth Table, we need to define a couple of more fundamental concepts, namely minterms and maxterms. Question 3 (20 marks) (a) Define minterm and maxterm in Boolean functions. Looking for online definition of MINTERM or what MINTERM stands for? MINTERM is listed in the World's largest and most authoritative dictionary database of abbreviations and acronyms. The formula to calculate the maxterms is described as follows:About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright. Important Note – In a minterm, the binary variable is un-primed if the variable is 1 and it is primed if the variable is 0 i. " Minterm: In the context of Boolean algebra and digital logic, a minterm refers to a product term that includes all the variables of a Boolean function, where each variable appears either complimented or uncomplemented. A Maxterm must contain every variable in the function exactly once, and it must evaluate to 0 for a specific set of inputs. 0. Example 1: Minimize f = m(1,5,6,12,13,14) + d(4) in. For the equation Out=(A+B+C)=0, all three variables (A, B, C) must individually be equal to 0. 2is the complement of the corresponding minterm AB¯CPlotting a maxterm on a Karnaugh map requires further consideration. A minterm is a product of all variables taken either in their direct or complemented form. We just want to establish a formal procedure for minterms for comparison to the new procedure for maxterms. [4 marksj (b) The truth table of the function X is shown in Table 1 Table 1 A|B|C 0 1 1 0. If the logic function is true at row i of the standard truth table, that minterm exists and is designated by m i. Sol: In the given. variables is a product/sum of . Steps to solve expression using K-map-. Literal. The Half-Adder is a basic building block of adding two numbers as two inputs and produce out two outputs. Express F as a minterm expansion in m-notation. Canonical forms may or may not contain the least numbers of literals because by definition, each maxterm or minterm must contain all variables, complemented or uncomplemented. g. , [x. Minterm vs. Maxterm Difference Between Minterm and Maxterm Minterm In Boolean algebra, a product term, with a value of 1, in which each variable appears once (in either its complemented or uncomplemented form, so that the value of the product term becomes 1). Minterm and Maxterm in Computer ArchitectureSOP and POS form in Computer ArchitectureCOA lectureSubscribe for latest Job in CS ITJob Alert with Hasan click h. While grouping in SOP don’t care ‘X’ is considered as ‘1’ and in POS ‘X’ is considered as ‘0’. The Boolean function F is defined on two variables X and Y. I just don't know how. 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. 2 is the complement of the corresponding minterm A B ¯ C Plotting a maxterm on a Karnaugh map requires further consideration. import java. It is apparent that maxterm n gives a false value (i. Maxterms correspond to a “0” on the cube. pmd Author: vmware 98 Created Date: 1/29/2020 5:48:30 PMThis problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Minterm number. Note that, if the number of variables is n, then the possible number of maxterms is 2n. #Convert_Expression_to_Minterm#Convert_Boolean_Expression_to_Maxterm#Define_Minterms#Define_Maxterms#CAnonical_Forms#Canonical_Form#Standard_FormsStart studying Maxterm vs Minterm. In canonical form, a Boolean function is expressed as sum of minterms or product of maxterms and is obtained by reading a function from the truth table. combined by an OR operation, they are called maxterms or standard sums. 2 is the complement of the corresponding minterm A B ¯ C Plotting a maxterm on a Karnaugh map requires further consideration. Title: 01. A maxterm, denoted as Mi, where 0 ≤ i < 2n, is a sum (OR) of the n variables (literals) in which each variable is complemented if the value assigned to it is 1, and uncomplemented if it is 0. Added Aug 1, 2010 by alexkrivilev in Mathematics. Goodbye. x = x. Minterm. For 2 inputs, a 2-D square is used. Minterm and maxterm for 3 variables Variables Minterm (mi) Maxterm (Mi) A B C 0 0 0 𝐴 𝐶 =m0 A+B+C=M0 0 0 C1 𝐴. F(list of variables) = Σ (list of 1 -minterm indices) and F'(list of variables) = Σ (list of 0-minterm indices) General example: F = Σ(1, 2, 4, 7) A maxterm is an addition(OR) of all variables taken either in their direct or . 5. For SOP put 1’s in blocks of K-map respective to the minterms (0’s elsewhere). That is why the function F can be re-written as the sum of its minterms: F=X'YZ'+X'YZ+XYZ'+XYZ. com-----. 3-inputs = 3-D = cube. Something went wrong. Boolean Algebra and Logic Gates.