f = w1w2 + w1w3 + w2w3 We wish to implement this function using
only 2-to-1 multiplexers. Shannon’s expansion
using w1 yields
f = w1(w2w3) + w1(w2 + w3 + w2w3) Can you show me the
simplification w1
= w1(w2w3) + w1(w2 + w3) How we get this?
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f = w1w2 + w1w3 + w2w3 We wish to implement this function using only 2-to-1...
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.
2. Implement the function F in textbook problem 4.10 using *only* 2-to-1 multiplexers. 4.10
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...
Use only 2-to-1 multiplexers to implement the circuit for the following function: F(A, B, C) = Pi M (1, 2, 4, 5) Assume the inverse of each input variable is available, (i.e., you can directly use the inverse of each input variable A, B, or C, in your answer.) Repeat P7, but this time using only one 4-to-1 multiplexer.
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. ?(?,?,?,?) = ??? + ??? + ??? + ???
Implement the function R = ab'h' + bch' + eg'h + fgh using *only* 2-to-1 multiplexers. Use the 2-to-1 multiplexer VHDL description from Problem 1 as a component to write VHDL code for the circuit design of function R. Perform CAD simulation of your design. (60)
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 logic function f given in the truth table below, using only NOT gates and one 4-to-1 multiplexer. wi W2 w3f 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 1 1 0 0 1 1 0 1 0 1 1 0 1 1 1 1 1
Implement function F(A,B,C,D) = Sum(0,1,7,13,15) +Don’t Cares(2,6,8,9,10) by only using EDAPlayground. Your completed report should include: (2) Function table for the above function (3) K-map simplification (4) A printout of the both Verilog codes, followed by (5) A printout of the timing diagram
please explain all rhanks
Search 19:24 If the probability that head is 1/2 and the probability that the back is 1/2, coin is repeatedly throws twice w1 (H,H) w2=(T,H) w3 (H,T) w4= (T,T) The sample space is {w1,w2,w3,w4} The random variable X: R and the random variable Y: R for all we, the probability P is and is defined P ((w)) X (w) 0 for we{w1,w3} X(w)=1, for w e (w2, w4} Y (w) 0, for we{w1,w2} Y(w)1, for w{w3,...