Build a decoder based on the following equation
f(A,B,C,D) = AB’D + A’CD + BC'D + A'BC
Build a decoder based on the following equation f(A,B,C,D) = AB’D + A’CD + BC'D +...
Simplify F(A,B,C,D) = (1,3,4,6,9,11,12,15) algebraically. The result is B'D' + A'BD + BC'D + ACD'. Show how to obtain this result with detailed steps explaining which axioms/theorems were used. NO K-MAPS!!! Thank you!
simplify to obtain sum of products (SOP) (A+B)(A+C')(A+D)(BC'D+E)
2. Implement the following Boolean function with a decoder. Use block diagrams. (5 points) F(A,B,C,D) = (0,2,6,7,8,9,10, 12, 14, 15)
Q2: Implement F(A,B,C)=(A+B+C)(A’+C’)(B’+C’) using: (5 pts each) A. A 3x8 active high decoder B. A 3x8 active low decoder C. A 2x1 multiplexer. D. A 4x1 multiplexer.
Enter the following expression into a K-map: F(a,b,c,d) = Sum-of-minterms(1,3,4,5,7,8,12,15) Which of the following is not an essential prime implicant of the K-map? bcd All of the other answers are essential prime implicants bc'd' O a'd O ac'd'
What is the sum-of-products expression for the following function. F(a,b,c)=∑m(1,2,3,5,7) Which one of the following choices shown below is the correct answer? A.) a'b'c'+a'b'c+ab'c+abc B.) a'b'c+a'bc'+a'bc+ab'c+abc C.) a'b'c+ab'c'+ab'c+abc D.) a'b'c'+a'b'c+ab'c'+ab'c E.) a'b'c'+a'b'c+a'bc+ab'c'+ab'c+abc F.) a'b'c'+a'b'c+a'bc'+ab'c'+ab'c+abc
Q# 7 (3 marks) Implement the Boolean function F(K,A,B,C,D) shown below using a single decoder of a suitable size and multi- input OR gate and inverter. Note the order of the variables in the function F and use the same order when implementing input to the decoder. + (4-1) MUX (2-1) FIK.A,BC,D) MUX + 0 + - Si So BUD
(i) Given the following Boolean function F(A,B,C) = m(0,3,4,7) together with the don't care conditions d(A,B,C)= £d(1,6) Implement the function F with a 3-to-8 active low decoder (use a block diagram for the decoder) and AND gate (with required number of inputs) only.
Q3: Implement a Full Adder using: (5 pts each) F(A,B,C)=(A+B+C)(A’+C’)(B’+C’) A. A 3x8 active high decoder B. A 3x8 active low decoder C. With two 2x4 Active high decoders.
Solve the following questions using DECODER Y = (A • B • C) + [A • B • (~C)] using DECODER and other gates.