{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

EE2301Dis2F09Sol

EE2301Dis2F09Sol - Department of Electrical and Computer...

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
1 Department of Electrical and Computer Engineering University of Minnesota EE 2301 Fall 2009 Introduction to Digital System Design L. L. Kinney Discussion II Solutions Sept. 17 & 18: Topics are arithmetic with 1 and 2’s complement numbers, Boolean algebra identities, switch networks, canonical expressions and tables of combinations. 1. a) Represent the following decimal numbers as hexadecimal numbers using 15’s (1’s) complements: 45, 83, -45 and -83. b) Using the hexadecimal representations from part a) perform the following operations: 45 + (-83), (-45) + (83), (-45) + (-83). Verify that the sum is correct or else show that overflow occurs. c) Repeat Part a) using 16’s (2’s) complement numbers. d) Repeat Part b) for the 16’s complement numbers. a) 45 10 = 2D 16 , 83 10 = 53 16 , -45 10 = D2 16 , -83 10 = AC 16 b) 2D 16 + AC 16 = D9 16 = (-38 10 ), D2 16 + 53 16 = 26 16 = (38 10 ), D2 16 + AC 16 = 7F 16 = (127 10 ) = (-128 10 ) overflow c) 45 10 = 2D 16 , 83 10 = 53 16 , -45 10 = D3 16 , -83 10 = AD 16 d) 2D 16 + AD 16 = DA 16 = (-38 10 ), D3 16 + 53 16 = 26 16 = (38 10 ), D3 16 + AD 16 = 80 16 = (-128 10 ) 2. Prove the following theorems of Boolean algebra and identify the identities of Boolean
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern