A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Please help! Design a circuit using NAND gates that detects the “above” condition for two 2-bit values. That is, given two 2-bit variables x and y, F(x,y) = 1 when the unsigned integer value of x is less than the unsigned integer value of y. a) Give a truth table for the output of the circuit, F. b) Find a minimal sum of products for F. c) use either a PLA or PAL.

  • This Question is Closed
  1. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    okay, so let's write a truth table for our F(x,y) = 1 $$\begin{array}{c|c} x&y&F\\ \hline 00 & 00 & 0 \\ 00 & 01 & 1\\ 00 & 10 & 1 \\ 00 & 11 & 1\\ 01 & 00 & 0\\ 01 & 01 & 0\\ 01 & 10 & 1 \\ 01 & 11 & 1\\ 10 & 00 & 0\\ 10 & 01 & 0\\ 10 & 10 & 0\\ 10 & 11 & 1\\ 11 & 00 & 0\\ 11 & 01 & 0\\ 11 & 10 & 0\\ 11 & 11 & 0 \end{array}$$

  2. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    we can write a sum-of-products from the truth table easily (hint: look at all the columns that yield \(F(x,y)=1\)), if we split \(x,y\) into individual inputs for each bits -- \(x_1, x_2, y_1, y_2\) so: $$(x_1'x_2'y_1'y_2)+(x_1'x_2'y_1y_2')+(x_1'x_2'y_1y_2)+(x_1'x_2y_1y_2')+(x_1'x_2y_1y_2)+\dots$$ and then minimizing the expression is easy once you have ita ll out

  3. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.