# 2-F - 1 Two-level logic minimization(10 pts Consider the...

This preview shows pages 1–4. Sign up to view the full content.

1) Two-level logic minimization (10 pts) Consider the logic diagram shown below. A B C OR F 0 1 0 1 0 1 B D B C D a) Please fill out the following K-map for F as a function of A , B , C , and D . 00 01 11 10 CD F 00 01 AB 11 10 b) For the K-map derived in part (a) for F , specify all the primes and essential primes. Prime Essential c) Find the minimum two-level logic implementation for F . F = 2

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

View Full Document
2) Number representation (10 pts) a) For each binary vector below, what does it represent as an Octal number and a Hexadecimal number? Binary Octal Hexadecimal 00111110 10100001 00111001 b) Given X and Y below that are 5-bit numbers in 2’s complement form, fill in the table of what S should be bit-vector form ( even if the result causes an overﬂow ). Indicate whether or not there is an overﬂow and what S is as a number (if S results in an overﬂow, then just put an ”x” under the “ S as a number” column). (First two rows provide examples.) X Y S = X Y S as a x 4 x 3 x 2 x 1 x 0 y 4 y 3 y 2 y 1 y 0 s 4 s 3 s 2 s 1 s 0 Overﬂow? number 11101 00011 11010 no -6 00001 00111 11010 no -6 11100 11001 01000 10101 10110 00011 11000 01011 3
3) Timing analysis (10 pts) Consider the following sequential logic diagram. Assume the gate delay is 1 ns for 2-AND and 2 ns for 2-XOR. Assume the positive edge-trigged ﬂip-ﬂop delay is

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• 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.

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

• 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.

Dana University of Pennsylvania ‘17, Course Hero Intern

• 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.

Jill Tulane University ‘16, Course Hero Intern