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- We consider a circuit having four inputs and one output. The output has the value 1 if at least half of the inputs have the value 1. In this case, the circuit is a not-a-minority circuit. 1) Build a truth table for the circuit presented in the description above. 2) Using this truth table, find a Boolean expression which represents the same function, and by using Boolean algebra, simplify it as much as possible. 3) Verify the design of the circuit.Minimize the following Equation by using Karnaugh Map, then draw the final Logic Circuit of the minimized equation. Y(A,B,C,D)= E (1,4,5,9,10,11,14,15) * 1 Add file Submit12. Construct circuits for the following expressionst a. xỹ+xy b. (x + y) +yz c. (Xz + y)z
- SHOW ALL STEPS:Use the properties and theorems of Boolean Algebra to reduce the following expression to OR-AND expressions. The expressions may not be unique, but create a truth table that is unique to the expression. ab + a’b’ (a’bc + a) a’b + ab (a+b)’+cTRUE or FALSE 11. In a Boolean equation the use of the + symbol represents the OR function. 12. A logic gate has one or more output terminals and one input terminal. 13. An inverter output is the complement of its input. 14. It is important to memorize logic symbols, Boolean equations, and truth tables for logic gates.Q1: Let F1 = x.Y, F2 A OB , F3 = F1 + F2 Implement the above Boolean expression with logic circuit giving the truth table.
- 1- Simplify the following functions using K-maps. Then build the circuit and find their truth tables. (a) F1 = A.B.C + A.B.C+ A.B.C + A.B.C (b) F2 = A.B.C+ A.B.C + A.B.C+ A.B.C (c) F3 = A + B.C + A.B.C (d) F4 = (A+B). (A+C)1. Use the 2-input version of the basic AND, OR, NOT gates to implement the following Boolean expression. Insert a drawing of your circuit here. Expression: (A + B)č. Use the 2-input version of the basic AND, OR, NOT gates to implement the following Boolean expression. Insert a drawing of your circuit here. Expression: (AB)(BC). Write the Boolean expression that is equivalent to the following circuit. D 2. Use the Word table tool to construct the truth table for this circuit. Be sure to include intermediate values. Insert columradings in the first row. Be sure to use the Insert > Equation tool so that standard Boolean logic symbols are displayed in the headings.5\ For the following finction: F(A. B.C) =(4+B).(A+B)+C) a. List the truth table. b. Draw the circuit. c. List the algebraic expressions in SOP. d. List the algebraic expressions in POS.
- Function f (A,B, C, D) is a function of prime number less than 16. The input A,B,C,D is 1 or 0. a. Make the truth table b. Simplify the function. You may use Boolean Algebra or Karnaugh Map c. Sketch a combinational circuit1. Use the 2-input version of the basic AND, OR, NOT gates to implement the following Boolean expression. Insert a drawing of your circuit here. Expression: (A + B)T Use the 2-input version of the basic AND, OR, NOT gates to implement the following Boolean expression. Insert a drawing of your circuit here. Expression: (AB)(BC) Write the Boolean expression that is equivalent to the following circuit. B. D.A B с I Out Write a boolean expression for the circuit shown above. (Note: Do not simplify it.) Write the simplified boolean expression for the circuit based on the truth table.