Due: Friday, July 12 at 11:59PM
Submission: On Courseworks
Complete the following assignment and submit on courseworks in either doc, docx, or pdf format. If you complete the assignment on pen/paper, please create a word or pdf document using clear images or scans of your physical copy.
What are the values, in decimal, of the bytes:
10011001
01110110
if they are interpreted as 8-bit:
Show your work for all calculations.
Show how to compute:
5 - 9
using 5 bit:
Show your work for all calculations.
Fill in the following truth table
a = (X + Y̅)(X + Y + Z)(X̅ + Z̅)
b = XZ̅ + XY + X̅ Y̅ Z̅
| X | Y | Z | a | b | |
|---|---|---|---|---|---|
| 0 | 0 | 0 | |||
| 0 | 0 | 1 | |||
| 0 | 1 | 0 | |||
| 0 | 1 | 1 | |||
| 1 | 0 | 0 | |||
| 1 | 0 | 1 | |||
| 1 | 1 | 0 | |||
| 1 | 1 | 1 |
Show all intermediate terms (e.g. (X + Y̅), etc).
Convert (3a) to its minterm representation
Convert (3b) to its maxterm representation
Convert (3a) to minimal sum-of-products (kmap, show work)
Convert (3b) to minimal product-of-sums (kmap, show work)
Implement (3a) using only 3-input NAND gates (NAND3)
Write the Karnaugh map and minimal sum-of-products representation for the 7 segment display section e