1 / 6

Homework 1

Homework 1. Due 21 st May 2014. Prove the Dual of the following Consensus Theorem. x.y + x’.z + y.z = x.y + x’.z. Marks = 6. Prove whether the following Associativity Relationships are correct or incorrect?. a ^ (b ^ c) = (a ^ b) ^ c . a (b c) = (a b) c.

yaphet
Download Presentation

Homework 1

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Homework 1 Due 21st May 2014

  2. Prove the Dual of the following Consensus Theorem x.y + x’.z + y.z = x.y + x’.z Marks = 6

  3. Prove whether the following Associativity Relationships are correct or incorrect? a ^ (b ^ c) = (a ^ b) ^ c a (b c) = (a b) c a (b c) = (a b) c Note: The legend for the aforementioned symbols is as follows ^ XOR NAND NOR Marks = 3 + 3 + 3

  4. Convert the following SOP expression into a POS expression • f = x.y + x’.y.z’ + y’.z’ Convert the following POS expression into a SOP expression • f = ( x + y ).( x’ + y + z’ ).( y’ + z’ ) Marks = 3 + 3

  5. Convert the following SOP expression into a C-SOP expression • f = x.y + x’.y.z’ + y’.z’ Convert the following POS expression into a C-POS expression • f = ( x + y ).( x’ + y + z’ ).( y’ + z’ ) Marks = 3 + 3

  6. Implement This Function using • two 8-to-1 Line Multiplexers • two 4-to-1 Line Multiplexers • two 2-to-1 Line Multiplexers • two 8-to-1 Line Multiplexer s (where the Multiplexers are tree structures of smaller multiplexers) Marks = 3 + 3 + 3 + 4

More Related