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CSE 20% Problem Set 1. (a) Let p, q, and r denote the following statements: p =

ID: 3879732 • Letter: C

Question

CSE 20% Problem Set 1. (a) Let p, q, and r denote the following statements: p = "computer is out of memory (COM) flag is off" "disk error has occurred (DEO) flag is off" r"ZIP disk has not enough memory left (ZIP) flag is off" Write the five statements below in symbolic form. a. COM is off and DEO is off and ZIP is off. b. COM is off but DEO is on. c. There is enough memory in the computer. However, either a disk error has occurred or the ZIP disk is out of memory. d. The computer is out of memory and no disk error has occurred, but the ZIP disk is out of memory. e. Either the computer is out of memory or both COM and DEO are off.

Explanation / Answer

Here are i am providing the symbolic forms of the following above staements

a)(p^q^r)-----COM is off and DEO is off and ZIP is off

b)pV(~q)-----COM is off but DEO is on thats the reason we go with negation q

c)(~p)^(q^r)------here enough space memory in computer,either disk error has occured or zip disk is out of memory

d) (p^~q)Vr-----computer is out of memory and no diskerror has occured but the Zip is out of memory

e)(pvq)-----Either the computer is out of memory or both COM and DEO are off