Note that the sum has five bits to accommodate the possibility of a carry. me/tanmaysakpal11-----. , the value of D is such that A, B, C, and D always contain an odd number of 1’s. Review: Binary Encoding of Numbers Unsigned numbers b n-1 2n-1 + b n-2 2 n-2 + . , F(A,B,C) = ΠM(0,1,2) = Σm(3,4,5,6,7) 3. c) F′ as a min term expansion is . State a general rule for finding the expression for F1+F2 given the minterm expansions for F1 and F2. Verify that the circuits in (i) and (ii) produce the same output for the same input (use the above. 100% (27 ratings) for this solution. (a)True (b)False?? The Sum of Product (SOP) canonical form is also known as ____?? (a)Minterm expansion (b)Maxterm expansion The 1’s complement of the. Question: A combinational circuit has three inputs (A, B, C) and two outputs (X,Y). It will have four outputs (p3, p2, p1, and p0) that correspond to the four bits of the product. Task 2: Four chairs are placed in a row: А B с D Each chair may be occupied (1) or empty (0). Using the text editor, Express the each output (X, Y,Z) of the Full Adder circuit below as a minterm expansion. are the same as minterm nos. The relationships between the inputs and the outputs are shown below: x3 x2. The result is an another canonical expression for this set of variables. A: The minterms are those terms that give 1's of the function in a truth table. Expert Answer. (a) Consider the function. For example, if A = 1, B = 0, C = 0, and D = 0, then Z = 1, but if A = 0, B = 1, C = 0, and D = 0, then Z = 0. Write the maxterm expansion for Z in decimal form and in terms of A, B, C. 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. 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. . 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. General Minterm and Maxterm Expansions general function of n variables A minterm is an expression regrouping the Boolean variables, complemented or not (a or not (a)), linked by logical ANDs and with a value of 1. Solution –. Minterm = A00; We will write 1 in place of non. ) Complement the rest of the values after the kept 1. On a piece of paper, create the minterm expansion formula for this truth table. Prove your answer by using the general form of the minterm expansion. (c) (1 Points) Write down an expression for F ′ in terms of minterms. Final answer. 1-minterms = minterms for which the function F = 1. Step 1 of 3. Therefore, the minterm expansion for is . 2，Provide the minterm expansion and the maxterm expansion of F’s complement, respectively. 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. 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. There are 2^3 = 8. Question: 50 pts. A and B represent the first and second bits of a binary number N1. Question: Find the minterm expansion of f(a, b, c, d)=a'(b'+d)+acd' and then design the result. s4 s3 s2 s1 s. 64K subscribers Subscribe 1. Prove your answer by using the general form of. Step-by-step solution. 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. Random variables as functions. d) The decimal integers which are not in the min-terms list are called max-term of the function. Question: Using kmap to find the SOP format for the Boolean function below, Z, Z = (A + B' + C)(A' +B+ C') choose the closet answer from the multiple choice hint: Z expressed in POS format so find Maxterm expansion using truth table. Answered 2 years ago. C and D represent the first and second bits of a binary number N 2. Using theorems of Boolean algebra, simplify the minterm expansion of F to a form with as few occurrences of each as possible. Computer Science. Minterm Minterm is a product of all the literals (with or without complement). See solution. m2+m3+m4+m5. This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. 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. Minterm is represented by m. A Boolean expression or map may have multiple. Write the complete minimized Boolean expression in sum-of-products form. Thus for the given example: Minterm expansion will be ∑m(4,5,7,8,10,11,13,14) + ∑d (0,1,2)Using scientific means, determine… | bartleby. . 6) F (A,B,C)=m3+m4+m5+m6+m7. 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. Maxterm is the sum of N distinct literals where each literals occurs exactly once. 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. 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. Given: F (a, b, c) = abc’ + b’. Earlier, HTET Notification 2023 Out on 30th October 2023. This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. We reviewed their content and use your feedback to keep. 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. Each variable in a minterm appears exactly once, either in its normal form or complemented. On paper, create the minterm expansion formula for this truth table. Design a combinational logic circuit which has one output Z and a 4. 1) F 1 ( x, y) = x ⋅ y ′ + x ′ ⋅ y + x ⋅ y. (Use M-notation. ) (d) Express F′ as a maxterm expansion. For each variable that has a 1 in that row, write the name of the variable. When expanding the given function. 0 × 29 , b = −1. Given the truth table of F(A,B,C) on the right, determine the following: a. Minterm expansion of F to minterm expansion of F’ use minterms whose indices do not appear e. 0 × 29 and c = 1. (b) Find the maxterm expansion for F 4. Step 1 of 4. The output signals b0, b1 represent a binary number which is equal to the number of input signals which are zero. me/tanmaysakpal11-----. (a) Any Boolean expression may be expressed in terms of either minterms or maxterms. A switching circuit has three inputs (A, B, C) and one output Z. Here is a reminder of the steps: Delete all rows from the truth table where the value of the function is 0. Express F’ as a minterm expansion (Use m-notation): F’ = ∑ Express F’ as a maxterm expansion (Use M -notation): F’ = ∏ There are 2 steps to solve this one. The question is about forming Boolean expressions in the form of minterm expansion (sum of the products) and maxterm expansion. d) Are all the minterms covered by the EPI’s, if not determine the. (11 points) (b) Draw the corresponding two-level AND-OR. plus. Define ξ (G) = Σd id x d, where id is the number of vertices of degree d in G. Without using a truth table, find. 3. 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. 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. . Express F as a maxterm expansion in boolean expression. 5. d. Who are the experts? Experts are tested by Chegg as specialists in their subject area. Step-by-step solution. 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 . In other words, we are searching for ANY ON-SET minterm of f. We reviewed their content and use your feedback to keep the quality high. 100% (73 ratings) for this solution. , 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. A B |С| D 3. The circuit to implement this function. If a minterm has a single 1 and the. EENG 2710 - Digital Logic Design Assignment #4 (Due on 9/29/2023) (Include details for full credit) 1. are the same as maxterm nos. 5. Simplify further. Now download the following starter file for the circuit, saving it in your lab6 folder: lab6task3. Simplification in a Boolean algebra. Find the. Question: 36 and 37. Question: Given that F(a, b, c) = ac’ + a’c + b’ d) Express F’ as a minterm expansion (use m-notation) e) Express F’ as a maxterm expansion (use M-notation) g)Build Logisim circuits for d) and e) and show that they give same output <----- I have already figured out how to do d) and e). 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). Using K-map, determine the Boolean function that the MUX implements. Analysis: F(A, B, C) = AB + BC̅ + AC̅. 5. Find the minterm expansion of f1(a,b,c,d)=ab + b’c’ + bcd 6. 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. 2. Z = ∑ (c) Find the maxterm expansion for Z in both decimal form in terms of A, B, C. And what is minterm. Trending now This is a popular solution! Step by step Solved in 2 steps. To illustrate, we return to Example 4. Given that F (a, b, c) = ac’ + a’c + b’. Electrical Engineering questions and answers. If A = 0, the output Z is the equivalence of B AND C. 100% (73 ratings) for this solution. It is sometimes convenient to express a Boolean function in its sum of minterm form. A and B represent the first id second bits of an unsigned binary number N. (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. Question: Q3. Fundamentals of Logic Design (7th Edition) Edit edition Solutions for Chapter 4 Problem 5SG: Study Section 4. 🔗. 2. If you have difficulty with this section, ask for help before you take the readiness test. Computer Science questions and answers. Question: Fill in the blanks: . Stuck at simplifying boolean expression. Suggest. 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 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. There are 2 steps to solve this one. 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. Computer Science 3. (b) Write the minterm expansion for Z in decimal form and in terms of A,B,C. Valid excess-3 code : 0011 to 1100 Invalid excess-3 code : [0000 to 0010] and [1101 to 1111] 10. Write the maxterm expansion for Z inFind step-by-step solutions and answers to Exercise 27 from Fundamentals of Logic Design - 9781285633022, as well as thousands of textbooks so you can move forward with confidence. 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. Question: Find the minterm expansion of f(a,b,c,d)=a’(b’+d)+acd’ and then design the result. 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. Simplification in a Boolean algebra. This product is not arithmetical multiply but it is Boolean logical AND and the Sum is Boolean logical OR. Step-by-step solution. A Boolean expression generated by x1, x2,. (c) Write the maxterm expansion for Z in decimal form and in terms of. 0 × 21 . (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. 5. Each row of a logical truth table with value 1/True can therefore be. m2+m4+m6+m7. On paper, create the minterm expansion formula for this truth table. We consider in this chapter real random variables (i. If a minterm has a single 1 and the remaining cells as 0 s, it would. Simplify if desired F = (B +C)(A+C) – Typeset by FoilTEX – 29. Step 1 of 4. F = 1 if two of the inputs are 1. Indicate the essential prime applicants by putting an "*' before it. For each row with a 1 in the final column, the corresponding product to add to the minterm. Define ξ (G) = Σd id x d, where id is the number of vertices of degree d in G. Express F as a minterm expansion in boolean expression. ) (b) Express F as a maxterm expansion. Each data input should be0, 1, a, or a′. (a) Find the truth table for Z. 100% (42 ratings) for this solution. This circuit should not be built using the minterm expansion principle. See answer. Other Math questions and answers. Question: Fill in the blanks: . (Use m-notation. 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. F = 1 if two of the inputs are 1. Who are the experts? Experts have been vetted by Chegg as specialists in this subject. Write the minterm expansion for Z in decimal form and in terms of A,B,C. C and D represent the first and cond bits of an unsigned binary number N2. Given a truth table for a Boolean function, the minterm (also known as standard product) expansion could be constructed by taking an OR of products, where each product represents an instance. Question 1: For the truth table below; a. A literal is a single variable with in a term which may or may not be complemented. 4. Expert Answer. the minterm expansion) and draw the corresponding circuit. Find the truth table for Z. A combinational switching circuit has four inputs and one output as shown. A Boolean expression or map may have multiple. . Programming Logic & Design Comprehensive. the algebraic sum of the currents flowing away from any point in a circuit must equal zero. A switching circuit has four inputs as shown. are those 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. (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. Given F1= Σ m(0, 4, 5, 6) and F2= Σ m(0, 3, 6, 7) find the minterm expression for F1+F2. . Y'. Prove your answer by using the general form of the minterm expansion. You may need additional prime implicants F (a, b, c) = m (0, 1, 2, 4, 6) 2. A and B represent the first and second bits of a binary number N 1. Q3. The data inputs I0-I7 are as follows: I1=I2=I7=0;I3=I5=1;I0=I4=D; and I6=D′ where D is some Boolean variable. State a general rule for finding the expression for F1+F2 given the minterm expansions for F1 and F2. In the above truth table, the minterms will be m 2, m 5, m 6 and m. Simplifying Boolean Two Expressions. 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. 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. Next, use minterm expansion twice – once for each output bit – and create a separate formula for each of those bits. This function is still missing one variable, so. The output is to be l only if the product N, x N2 is less than or equal to 2 (a) Find the minterm expansion for F. Step 1 of 5. Show transcribed image textO 1. This expression can then be converted to decimal notation. Joyligolf8693 is waiting for your help. I am having problems finding the first four zeroes as I have a little grasp on this concept of Series solutions near an Q&A(b) (1 Points) Write down an expression for F in terms of maxterms (maxterm expansion). 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. 🔗. The general rule for finding the expression, is that all the terms present in either or will be present in . + 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. State a general rule for finding the expression for F1 F2 given the minterm expansions for F and F2. 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. To illustrate the importance of reducing the complexity of a Boolean function, consider the following function: (5. Let G = (V,E) be a graph. Computer Science questions and answers. Implement the following functions using an 4:16 decoder OR gates. If A = 1, the output is the XOR of B and C. Newton-Raphson method is used to compute a root of the equation x 2 -13=0 with 3. Given a truth table for a Boolean function, the minterm (also known as standard product) expansion could be constructed by taking an OR of products, where each product represents an instance. Express F as a minterm expansion in boolean expression. (d) Express F' as a maxterm expansion (use M-notation). 1. A = A (B + B’) = AB + AB’. 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. (use m-notation) (d) Express F' as a maxterm expansion. 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. 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. If S and T are two different trees with ξ (S) = ξ (T),then. (11 points) (b) Draw the corresponding two-level AND-OR. 아래 예를 통해 이해해봅시다. Who are the experts?A switching circuit has three inputs (A, B, C) and one output Z. (a) Find the truth table for Z. e. , the value of D is such that A, B, C, and D always contain an odd number of 1’s. . a. Last updated on Nov 11, 2023 HTET Application date extended! Now, the last date to submit applications is 11th November 2023. g. Then convert Z to minterm expansion. Minterm expansion. The significance of the minterm partition of the basic space rests in large measure on the following fact. 32. (b) Find the maxterm expansion for F (both decimal and algebraic form). 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:. simplifying boolean expression in minterm. Given the following Minterm Expansion. c) Min term expansion of the function . This widget allows to get some helpful information about an arbitrary minterm based on its number and amount of logic variables. Maxterm to Minterm conversion: rewrite maxterm shorthand using minterm shorthand replace maxterm indices with the indices not already used E. (a) Find the minterm expansion for F (both decimal and algebraic form). Minterm is represented by m. 1. Kirchhoff’s current law states that a. ) computer science This exercise concern the set of binary strings of length 8 (each character is either the digit 0 or the digit 1). Minterm expansion; No lecture on 10/10 (holiday) Lecture on 10/11 (Mon. Using postulates and theorems of Boolean algebra, simplify the minterm expansion F to a form with as occurrences of each variable as possible. ) (d) Express F' as a maxterm expansion. 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. In POS representation, a product of maxterm gives the expression. Example if we have two boolean variables X and Y then X. 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. It will have four outputs (p3, p2, p1, and p0) that correspond to the four bits of the product. ). GATE CS 2010. This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. EE/CompE 243 Digital Logic Session 10; Page 2/4 Spring 2003 (c) F A B C. 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 Electrical Engineering questions and answers. 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. b. For example if the inputs x,y,z are 1 1 0 then outputs signals b1,b0 are 01. Question: (10 Points) 4. 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。. The output is to be 1 only is the product N1*N2 is less than or equal to 2. A combinational switching circuit has four inputs and one output as shown. Minterm expansion for a function is unique. Do 4 and 5. The minterm and maxterm expansions for F in algebraic and decimal forms, and; The minterm and maxterm expansions for F' in algebraic and decimal forms. Express F as a maxterm expansion (standard product of sum). This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. The Gray Code belongs to a class of code called minimum-change. If a minterm has a single 1 and the remaining cells as 0s, it would appear to cover a minimum area of 1s. Write POS from maxterm expansion F = (A+B +C)(A+B0 +C)(A0 +B +C) 4. That is, the cell 111 corresponds to the minterm ABC above left. . simplifying boolean expression in minterm. Minterm expansion = ∑ m (0, 1, 2, 4, 8) \text{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. If A=1, the output is the equivalence of B and C. A switching circuit had 4 inputs a,b,c, and d and output f. . How to express a digital logic function in minterm (sum of products) form. Simplify boolean expression to. 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. (25 Points) 4. , xk that has the form. c. a and b represents the 1st and 2 nd bits of a binary number M. Question: 1) Given: F (a,b,c) = a'bc + (a) Express F as a minterm expansion. Minterm expansion of F to minterm expansion of F’ use minterms whose indices do not appear e. Need help with this problem . b. d) Are all the minterms covered by the EPI's, if not determine the additional prime implicants (if any) and find out the. b. Express F as a minterm expansion in boolean expression. 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. 1. Add answer 5 pts. 9. Maxterm expansion of Y: Y = (A + B')(A' + B) a. The point to review is that the address of the cell corresponds directly to the minterm being mapped. To, prove the answer, the minterms can be expanded using. Question: 3. But is it necessary to search in f x′? Remember that because of unateness of f w. ) (d) Express F as a 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. Write out the full Boolean expressions. In this lesson, we will look at one of two "standard forms" of boolean functions. 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) Find the minterm expansion for F. F(a,b,c,d) = sigma m(1,3,4,5,9,12,15) + sigmad(2,7,8). Question: 2. Find the minterm expansion of f(a,b,c,d)=a’(b’+d)+acd’ and then design the result. (Hint: Start with a minterm expansion of F and combine minterms to eliminate a and a′ where possible.