Use Shannon’s expansion to implement the following function with a 4-1 multiplexer, using A and B as the control signals. You may also use any additional basic gates needed.
?(?,?,?,?) = ??? + ??? + ??? + ???
Use Shannon’s expansion to implement the following function with a 4-1 multiplexer, using A and B...
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.
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.
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...
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.
You are asked to implement the function fw, w using a 4:1 multiplexer and as much logic as you need, but minimizing the extra logic as much as possible. You should use the following variables as the control variable of the 4:1 multiplexer and determine the combination that leads to the most cost-efficient implementation. i. wi and w2 ii. W2 and w3 W3, W4, W5)W1+w3W4 + W2W4 + W2W4 + W2w3W5 You are asked to implement the function fw, w...
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
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.
1) Implement the function given below using each of the following methods: ?(?, ?, ?, ?) = P (0,1,3,4,7,9,13,15) ∙ ?(5,14) As few 16-1 multiplexers as possible. One 8-1 multiplexer, inverters, and a few 2-1 multiplexers. One 4-1 multiplexer and a few 2-1 multiplexers As few 2-1 multiplexers and inverters as possible. 2) Write a Verilog module and testbench for a 3:1 multiplexer that implements the following function. You can use “case”, “if” or “assign” statements. Grades will be agnostic...
Implement the following function using the given circuit elements: ?(?, ?, ?) = ∑ ?(1, 2, 3, 6, 7) c. A 2-1 mux and any basic gates needed d. Only 2-1 muxes
Digital logic design Question 2 [4+6=10Marks] I. Implement following function using 16 x 1 multiplexer? F(A,B,C,D) = I l.ec.(D1, D2, D3, D4,10,11,13,15) II. Implement function F given above using 8 x 1 multiplexer?