g= abc+abd+bc'd' 2term 5literal
minimum sum of product
For Minimization of Sum of Products the best way is K-Map.
g=abc+abd+bc'd'
Putting the given expression in K-Map and reducing it.
In the quadrable, the expression ab in common in all the 4 literals. In the duplex bc'd is common in both literals. So, the expression is ab+bc'd'.
simplify to obtain sum of products (SOP) (A+B)(A+C')(A+D)(BC'D+E)
G1 = (A’+C’+D) (B’+A) (A+C’+D’) G2 = (ABC’) + (A’BC) + (ABD) G3 = (A+C) (A+D) (A’+B+0) G4 = (G1) (A+C) G5 = (G1) (G2) G6 = (G1) (G2) Determine the simplest product-of-sums (POS) expressions for G1 and G2. Determine the simplest sum-of-products (SOP) expressions for G3 and G4. Find the maxterm list forms of G1 and G2 using the product-of-sums expressions. Find the minterm list forms of G3 and G4 using the sum-of-products expression. Find the minterm list forms...
Ray BD bisects angle ABC. The measure of angle ABD is represented by 4x-4 and the measure of angle ABC is represented by 7x+4. Find the measures of angle DBC
2. Find the minimum sum of products and the minimum product of sums for the following function fla, b, c, d) Il M(0, 1, 6, 8, 11, 12). Il D(3, 7, 14, 15)
(1) [POS] Factor to obtain a product of sums. (Simplify where possible) A'C'D' + ABD' + A'CD+B'D [SOP] Factor to obtain a sum of product. (Simplify where possible) (K'+M'+N)(K'+M)(L+M+N')(K'+L+M)(M+N)
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
11. Simplify the following Boolean expressions to a minimum number of literals: c) abcd + abc 'd + a'bd btain the truth table for the following functions and express each function in sum-of minterms and product-of-maxterms form: a) (x y')y'+2) c) (xy +yz+xz(x 2)
Simplify the following expressions by means of a four- variable K-Map (a) AD+BD+BC ABD (b) ABC+CD+BOD+BC
The minimum sum of products for F(A,B,C) = m1 + m5 + m7 is: A'B'C + AB'C + ABC none of these AC + B'C AB + AC AC + B'C'
Find two non-negative numbers whose sum is 59 and whose product is a minimum. (If an answer does not exist, enter DNE.) smaller number: larger number: