Quiz: Boolean Algebra, Functions and Implementation

A city traffic controller uses a 3-input logic set: P (pedestrian request), V (vehicle sensor), N (night mode). The controller must give WALK signal when a pedestrian has requested and it is safe: either (a) vehicle sensor is OFF, or (b) it is night mode (which uses reduced vehicle flow). The WALK output should not activate if there is an active emergency override E (active = 1) that forces STOP regardless. Boolean expression for WALK (ignore E) that is true when P=1 and (V=0 or N=1) is:

A city traffic controller uses a 3-input logic set: P (pedestrian request), V (vehicle sensor), N (night mode). The controller must give WALK signal when a pedestrian has requested and it is safe: either (a) vehicle sensor is OFF, or (b) it is night mode (which uses reduced vehicle flow). The WALK output should not activate if there is an active emergency override E (active = 1) that forces STOP regardless. If emergency override E must force WALK = 0 (i.e., inhibit walk when E=1), the combined expression is:

Which Boolean theorem justifies factoring P(V̅ + N) into sum-of-products for K-map minimization?

Convert F=PV̅+PN to a minimal SOP using algebraic simplification — what is minimal?

A city traffic controller uses a 3-input logic set: P (pedestrian request), V (vehicle sensor), N (night mode). The controller must give WALK signal when a pedestrian has requested and it is safe: either (a) vehicle sensor is OFF, or (b) it is night mode (which uses reduced vehicle flow). The WALK output should not activate if there is an active emergency override E (active = 1) that forces STOP regardless. Suppose you must implement F=PV̅+PN using only NAND gates. The minimal number of two-input NAND gates required to realize the function (without using multi-input NANDs) is:

(a)  

If P=1, V=1, N=0, E=0 what is WALK?

An elevator has card reader (C), overload sensor (O), and floor selector valid (F). Door unlock U only when C=1 AND F=1 AND O=0.

An elevator has card reader (C), overload sensor (O), and floor selector valid (F). Door unlock U only when C=1 AND F=1 AND O=0. Using De Morgan, express U̅:

An elevator has card reader (C), overload sensor (O), and floor selector valid (F). Door unlock U only when C=1 AND F=1 AND O=0. 9. The designer wants a fail-safe using NAND only; tying inputs appropriately, a NAND that receives C and F and O' (inverter on O) yields U directly. True or false?

An elevator has card reader (C), overload sensor (O), and floor selector valid (F). Door unlock U only when C=1 AND F=1 AND O=0. If the minimization yields U=CF O̅, the canonical minterm form (three variables) is: