Implement the function f (A,B,C,D) summation(m(0,2,5,8,12,13,14,15)) using:
a. A 4-to-1 multiplexer, and external gates. Choose inputs A and B as the select lines.
b. A 4-to-16 decoder and OR gate
c. A PLA
Implement the function f (A,B,C,D) summation(m(0,2,5,8,12,13,14,15)) using: a. A 4-to-1 multiplexer, and external gates. Choose inputs...
Class 24 1. Given the shorthand POS expression F(a,b,c,d) П M (0,6,7,8) (b + c + d)(a + D+ ē): a. (25 points) Implement F using one 4-to-16 decoder and one OR gate of any size. b. (25 points) Implement F using four 2-40-4 decoders and one OR gate of any size. c. (25 points) Implement F using just two 8-to-3 encoders, NOT gates, and one AND gate of any size. Hint: given NOT gates and an AND gate to...
Problem 1. Sequential Circuit Design Using a decoder and AND gates, implement a 4-input multiplexer. . Using D-FFs, implement a 4-bit register. If using circuit verse, connect the Din signals to inputs blocks and connect Power to the enable lines. Do not forget the clock.
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)
Design a 6 to 1 multiplexer (inputs A,B,C,D,E,F,S[2:0] and output Z) (a) Implement the 6 to 1 multiplexer using only CMOS NORs, NANDs and inverters. ( b) Implement the 6 to 1 multiplexer using only CMOS transmission gates and inverters. (c) Which approach is better and why?
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...
(a) The truth table below shows a certain function F(P,Q,R,S). Implement the function F using an 8:1 multiplexer, without any other logic gate. Only the constants 0 and 1, and the literals (but not their complements) are available. Fill in the inputs in the multiplexer diagram. (b). Implement the function F using a 24 decoder and a 4:1 multiplexer, and at most one logic gate. Only the constants 0 and 1, and the literals (but not their complements) are available....
Implement the function F (x,y,z)= (not x)(not z)+ xy using a. One 4-to-1 multiplexer and any additional inverters. Show your truth-table and justify your choice of select inputs. b. One 2-to-1 multiplexer and the minimal number of gates. Show the truth table used to derive your circuit.
need explain... 5. Implement the function f(a,b,c,d) = 2 m(0,1,3,4,5,7,9,10,11,13) a. (3 points) using an 8-to-1 multiplexer and as few inverters as possible, and b. (4 points) using a 4-to-1 multiplexer and as few additional gates as possible.
using a 16x1 multiplexer 3. Implement the function F using a multiplexer. F(A, B, C, D)=BC + BD + ABC
we want to implement the function ?(?3,?2,?1,?0)=∑?(1,4,5,8,11,12,13). Assume complemented inputs are available at no cost. c. Use Shannon’s Expansion Theorem to implement H using a 2-to-1 multiplexer with z3 as the select line, AND gates, and OR gates. Also, show the expression for H that uses Shannon’s Expansion Theorem. d. Use Shannon’s Expansion Theorem to implement H using a 4-to-1 multiplexer with z2 and z1 as the select lines. Also, show the expression for H that uses Shannon’s Expansion Theorem.