A product term containing all K variables of the function in
either complemented or uncomplemented form is called a
__________
a) Minterm
b) Maxterm
c) Midleterm
d) ∑ term
Answer: Option A: Minterm
Explanation:
A product term containing all K variables of the function in either complemented or un-complemented form is called a Minterm. whereas
A sum term containing all K variables of the function in either complemented or un-complemented form is called a Maxterm.
A product term containing all K variables of the function in either complemented or uncomplemented form...
Looping on a K-map always results in the elimination of __________. A. Variables within the loop that appear only in their complemented form B. Variables that remain unchanged within the loop C. Variables within the loop that appear in both complemented and uncomplemented form D. Variables within the loop that appear only in their uncomplemented form
About logic diagram, boolean algebra, computer organization
Draw the logic diagram for function F as a 2‐level AND‐OR
circuit.
Background
F(a,b,c) --> F output 1 if abc is interpreted as 3-bit
unsigned integer is a prime number. Output is 0 for other
numbers.
The Simplified SOP Expression of F = a'b +
ac
F (a, b, c) =
m (2, 3, 5, 7)
Note:
i) complemented inputs (a', b', c') are not available;
ii) Use a fan‐in of 2 only....
Please solve all the problems with full steps.
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5) Four chairs are placed in a row and labeled A, B, C, D. Each chair is either occupied (0) or empty (1). Generate the minterm and maxterm expansion in algebraic form for each of the following logic functions. Include don't care terms if appropriate. a) f(A, B, C, D) = 1 if and only if there are no adjacent empty chairs. b) f(A, B, C, D) = 1 if...
1. Consider the Boolean function F(x, y) = x + y, how many cells in the Kmap representing this function have value of “1”? A. 3 B. 2 C. 4 D. 1 2.Using Kmap for simplification, we can select multiple smaller groups (instead of a larger group) as long as all “1” are selected. A. False B. True 3 In Kmap representation, how many values of “0” and “1” two neighboring minterms can differ?2. Using Kmap for simplification, we can...
Minimize the function in sum-of-product form and Minimize the complement of the function in Sum-of-product form. f(A,B,C) = A'B'C'+A'BC+AB'C+ABC'+ABC
Using truth tables, determine whether the following expressions are the same or not. Do not simplify equations. a'b + a'c + ac b(a'c' + c) + b'c c + a'b' Simplify the following expressions using algebraic rules: (a+b+c)(a’+b+c)(a+b’+c’)(a’+b’+c’) (2 terms, 4 literals – POS form) The rest will be SOP form: ab'c + bd + bcd'+ ab'c' + abc'd (3 terms, 6 literals) xyz’ + x’yz’ + x’yz + xyz (1 terms, 1 literal) a’b’c’ + a’bc’ + a’bc +...
digital logic design
1. (15 points) Minimize the following function using the K-map. f(A,B,C,D) = m(0,1,2,5,12,13,14,15) 2. (15 Points) Plot the following function on the K-map and determine the minterm list. f(A,B,C,D) = BCD + ABC + ACD + BCD + ABC
1. (15 points) Minimize the following function using the K-map. f(A.B.C.D) = m(0.1,2,5,12,13,14,15) 2. (15 Points) Plot the following function on the K-map and determine the minterm list. f(A,B,C,D) = BCD + ABC + ACD + BCD + ABC
1. A production function is given by f(K, L) = L/2+ v K. Given this form, MPL = 1/2 and MPK-2 K (a) Are there constant returns to scale, decreasing returns to scale, or increasing returns to scale? (b) In the short run, capital is fixed at -4 while labor is variable. On the same graph, draw the 2. A production function is f(LK)-(L" + Ka)", where a > 0 and b > 0, For what values of a and...
(a) List all seven product term implicants of F(a, b, c) = Σ m(0, 1, 5, 7) Which of these implicants are prime? Why is a′c not an implicant? (b) Defne a prime implicant. (c) Why must every term in a minimum sum-of-products expression be a prime implicant? Check your answer using a Karnaugh map. 170 Unit 6 (d) Given that F(A, B, C, D) = Σ m(0, 1, 4, 5, 7, 10, 15), which of the following terms are...