Given the complex numbers
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Power System Analysis & Design
- 4. Simplify the following Boolean expressions, using four-variable K-maps: (a) A′B′C′D′+AC′D′+B′CD′+A′BCD+BC′D (b) w′z+xz+x′y+wx′zarrow_forwardWhat is the value of x in the following system of equations: x = 5y – 33x – 4 = 2y x= -2 x= 3 x= 5 x= 4 x= 2arrow_forwardConsider a base 26 number system wherein the letters of the alphabet are the digits. That is, A=0, B=1, C=2, … Z=25 in base 10. Use the MAL as a number in the base 26 system, and KHA as another number in the base 26 system.Add these numbers together to obtain the sum in based 26. Example 1 — if your first name is “Peter” and your surname is “Pan”, then add up PET26 and PAN26, and show the sum in base 26.Example 2 — if your first name is “Peter” and your surname is “Pa”, then add up PET26 and PAA26, and show the sum in base 26.arrow_forward
- Let :P: Birds can fly.Q: 2+1=4.R: x is an integer.S: π is a rational number. ~ (p ⊕ ~ q) ν ~ (~r Λ s) GIVEN THE FOLLOWING PROPOSITIONS A. ILLUSTRATE THE COMBINATORIAL CIRCUIT.arrow_forwardSimplify the following equation using Boolean Identities: ~x~yz + ~xy~z + x~y~z + x~yz + xy~z + xyz Construct truth tables for the following: xyz+ x~(yz) + ~(xyz) (x + y)(x + z)(~x + z) Use the truth tables from the previous question to create equations in SOP and POS format. Develop truth tables for the following equations: a) (A+B)(B+C)b) ~A(B + C)c) (A+B)^(CD)arrow_forwardAssuming that XTAL = 11.0592 MHz. a) Find the frequency of the square wave generated on pin P2.3 in the following program b) Find the smallest frequency achievable in this program, and the TH value to do that MOV TMOD, #20H ; MOV TH1, #5; SETB TR1;BACK: JNB TF1 ,BACK ; CPL P2.3 ; CLR TF1 ; SJMP BACK ;arrow_forward
- (FOR SOME x) (FOR SOME y), with x and y as integers: x^2 + y = x.( true or false) FOR SOME x, x is any REAL number: x^2 + 1 = 0. * ( True or false) (FOR ALL x) (FOR SOME y), with x is any integer & y is any real number & both x, y must not be equal to ZERO: x.y = 1 is greater or equal x ( True or false) (FOR ALL y) (FOR SOME x), with x and y as integers: x.y = 5. ( true or false) FOR SOME y, y is any integer: y^3 - y^2 -y = -1. ( True or false)arrow_forwardUsing the laws of boolean algebra simplify these expressions and LIST the laws used to justify each step. . Each final result should be expressed as a sum of products of literals, where each product uses the smallest number of literals. a. ABC + ABC’ + A’C + A’B’C + AB’C b. A'B' + A'BC' + (A + C')' c. A' + A'B'CD' + A'B'C'D' + AB'C' + AB'CD' + ABD + BC'Darrow_forwardPlease construct the truth table of the following, thank you. a) [p→q] ꓥ [~p→q] b) [~p↔~q] ↔ [p↔q] c) [p→q] → [q→p] d) [pVq] ꚛ [pꓥq]arrow_forward
- Use a truth table to demonstrate that these two statements are logically equivalent:((p ∧ ¬q) ∨ (p ∧ q)) ∧ q and (p ∧ q).arrow_forwardit is often said 1 human-year is equivalent to 7 dog-years. however, this simple conversion fails to recognize that dogs reach adulthood in their end year of life. as a result the american kennel club suggests the following to calculate a dog's age in human-years. 15 human years are equivalent to the 1st year of a dog's life. a dog's 2nd year is equivalent to 9 human years. after a dog's 2nd year each human year is approximately 5 dogs years. please answer in python codingarrow_forwardScenario: In a biased N-bit binary number system with bias B, positive and negative numbers are represented as their value plus the bias B. For example, for 5-bit numbers with a bias of 15, the number 0 is represented as 01111, 1 as 10000, and so forth. Biased number systems are sometimes used in floating point mathematics. Consider a biased 8-bit binary number system with a bias of 12710 Question: What is the representation and value of the most negative number?arrow_forward
- C++ for Engineers and ScientistsComputer ScienceISBN:9781133187844Author:Bronson, Gary J.Publisher:Course Technology PtrProgramming Logic & Design ComprehensiveComputer ScienceISBN:9781337669405Author:FARRELLPublisher:Cengage