Quiz: Boolean Algebra, Functions and Implementation

Quiz: Boolean Algebra, Functions and Implementation

University

48 Qs

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Quiz: Boolean Algebra, Functions and Implementation

Quiz: Boolean Algebra, Functions and Implementation

Assessment

Quiz

Engineering

University

Practice Problem

Hard

Created by

Alden Gabuya

Used 1+ times

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48 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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. P(V̅ + N)

B. PV' + PN'

C. P(V + N)

D. P(V + N)

2.

MULTIPLE CHOICE QUESTION

30 sec • 2 pts

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:

A. P(V̅ + N) + E'

B. P(V̅ + N) . E̅

C. P(V̅ + N) + E

D. P(V̅ + N) ⊕ E

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

A. De Morgan’s theorem

B. Distributive law

C. Consensus theorem

D. Absorption law

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

P(V̅ + N) (already minimal)

P

P(V̅N)

V̅ + N

5.

FILL IN THE BLANK QUESTION

30 sec • 1 pt

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:

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

1

0

Undefined

Oscillating

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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.

CF'O

C + F + O'

(C + F)O'

C(F + O')

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