Consider the construction of a vending machine's logic. Assume that every soda costs a quarter, and that the machine accepts only quarters. E = True indicates the machine is empty, it has no more sodas S = True indicates the user has made a selection P = True indicates the user has paid a quarter The machine may send two control commands to its machinery: V = True indicates machine will give the user a soda (i.e. "vend") R = True indicates machine will return the user's quarter The machine should return a user's quarter only when they have paid and the machine is empty. The machine should give a soda only when a user has paid, made a selection and the machine is not empty.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the construction of a vending machine's logic. Assume that every soda costs a quarter, and that the machine accepts only quarters.

  • E = True indicates the machine is empty, it has no more sodas
  • S = True indicates the user has made a selection
  • P = True indicates the user has paid a quarter

The machine may send two control commands to its machinery:

  • V = True indicates machine will give the user a soda (i.e. "vend")
  • R = True indicates machine will return the user's quarter

The machine should return a user's quarter only when they have paid and the machine is empty. The machine should give a soda only when a user has paid, made a selection and the machine is not empty.

i Write a truth table for V and R in terms of E,S, P
ii Write an expression for V in terms of E, S, P using boolean operators V, A, -
iii Write an expression for R in terms of E, S, P using boolean operators V, A, -
Transcribed Image Text:i Write a truth table for V and R in terms of E,S, P ii Write an expression for V in terms of E, S, P using boolean operators V, A, - iii Write an expression for R in terms of E, S, P using boolean operators V, A, -
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