Logic functions and Minimization

Question 81

Evaluate (X xor Y) xor Y?

• All 1\'s
• All 0\'s
• X
• Y

Question 82

In Boolean algebra, rule (X+Y)(X+Z) =

• Y+XZ
• X+YZ
• XY+Z
• XZ+Y

Question 83

The output expression of the following gate network is

• X. Y + X\' Y\'
• X. Y + X. Y
• X. Y
• X + Y

Question 84

When n-type semiconductor is heated?

• number of electrons increases while that of holes decreases
• number of holes increases while that of electrons decreases
• number of electrons and holes remain the same
• number of electron and holes increases equally

Question 85

Logic family popular for low power dissipation

• CMOS
• ECL
• TTL
• DTL

Question 86

The switching expression corresponding to f (A,B,C,D) = Σ(1, 4, 5, 9, 11, 12) is:

• BC\'D\' + A\'C\'D + AB\'D
• ABC\' + ACD + B\'C\'D
• ACD\' + A\'BC\' + AC\'D\'
• A\'BD + ACD\' + BCD\'

Question 87

Consider the following boolean function of four variables, f (w, x, y,z) = Σ(1, 3, 4, 6, 9, 11, 12, 14], the function is

• Independent of one variable
• Independent of two variables
• Independent of three variables
• Dependent on all variables

Question 88

What is the bandwidth of the signal that ranges from 40 kHz to 4 MHz

• 36 MHz
• 360 kHz
• 3.96 MHz
• 396 kHz

Question 89

The Boolean theorem AB + A\'C + BC = AB + A\'C corresponds to

• (A + B) ∙ (A\' + C) ∙ (B + C) = (A + B) ∙ (A\' + C)
• AB + A\'C + BC = AB + BC
• AB + A\'C + BC = (A + B) ∙ ( A \'+ C) ∙ (B + C)
• (A + B) ∙ (A\' + C) ∙ (B + C) = AB + A\'C

Question 90

In the given network of AND and OR gates, f can be written as

• X₀X₁X₂ … X_n + X₁X₂ … X_n + X₂X₃ … X_n + ⋯ + X_n
• X₀X₁ + X₂X₃ + … X_n-1 X_n
• X₀ + X₁ + X₂ + … + X_n
• X₀X₁ + X₃ … X_n−1 + X₂X₃ + X₅ … X_n−1 + ⋯ + X_n−2X_n−1 + X_n