Implement the following Boolean function with an 8xl multiplexer F(A,B,C,D) B'C A'BD + AB'
1. Q(A,B,C,D) = ABC'+ A'BC+C'D'+AB'+B'C a) Implement the previous function using logic gates. b) implement the same function using a 16 input multiplexer (74150) only. (Hint: draw the truth table for Q)
Simplify the following Boolean function: F(A,B,C) = B'C' + A'C + AB'C with don't care terms = ABC + A'BC: O A'+C AB+C O AC O AC O A'(B'C)
7. (24 pts.) Implement the following Boolean function with an 8-to-1 multiplexer, a 2-to-4-line decoder, 3 x inverters and a OR-gate. (20 pts.) F(A, B, C, D, E) -2 (0,1,2,3,5,6,7,8,9,10,13,14,16,19,23,24) 7. (24 pts.) Implement the following Boolean function with an 8-to-1 multiplexer, a 2-to-4-line decoder, 3 x inverters and a OR-gate. (20 pts.) F(A, B, C, D, E) -2 (0,1,2,3,5,6,7,8,9,10,13,14,16,19,23,24)
Implement the following Boolean function with an 8 x 1 multiplexer and with variable D as its input. F(A, B, C, D) = ∑m(2, 4, 6, 9, 10, 11, 15)
using a 16x1 multiplexer 3. Implement the function F using a multiplexer. F(A, B, C, D)=BC + BD + ABC
6. Implement (draw logic diagram) the following Boolean function F = ab/c + a'd' + ab (a) With AND and inverter gates (b) With OR and inverter gates
Multiplexer Example Implement the following Boolean function using a 4x1 Mux; F(x,y,z) = Σ (1,2,6,7) Decoder Example Implement the following functions for a full adder using decoder; S(x,y,z) = Σ (1,2,4,7) C(x,y,z) = Σ (3,5,6,7) Implement the following Boolean function; F(x,y,z) = Σ (0,2,3,7): Using; 1. Two 2x4 decoders and logic gates 2. One 4x1 multiplexer Decoder . Draw the truth table for the function to be implemented. . Pick the terms for output. . Derive appropriate logic to combine terms. . Use two 2x4 decoders to make one3x8 decoder. . Pay attention to fact...
2. [15pt] Implement the following Boolean function using a multiplexer. f(xy.zw) m(0,2,5,8,10,14.15) Carefully label all the inputs and outputs of your multiplexer and justify your design.
Find the complement of the following expressions b) (AB+C)0%E 2. Given the Boolean function F -xy + x'y' y'z 1. Implement it with AND, OR, and inverter 2. Implement it with OR and inverter gates, and 3. Implement it with AND and inverter gate 3. Express the following function in sum of minterms and product of maxterms: a) F(A,B,C,D) - B'DA'D BD b) F (AB+C)(B+C'D) 4.Express the complement of the following function in sum of minterms a) F (A,B,C,D)-2 (0,2,6,11,13,14)...
Convert the following Boolean equation to canonical sum-of-minterms form: F(a,b,c) = b'c' Convert the following Boolean equation to canonical sum-of-minterms form: F(a,b,c) = abc' + a'c