DIGILOG - 10/08/2025

The truth table represents the Boolean function

• A.    X

• B.    X+Y

• C.    X xor Y

• D.    Y

What is the Boolean expression for the output f of the combinational logic circuit of NOR gates given below?

• A.    (Q+R)'

• B.    (P+Q)'

• C.    (P+R)

• D.    (P+Q+R)'

What is the minimal form of the Karnaugh map shown below? Assume that X denotes a don’t care term.

• A.    b'd'

• B.    b'd' + b'c'

• C.    b'd' + a'b'c'd'

• D.    b'd' + b'c' + c'd'

In the Karnaugh map shown below, X denotes a don't care term. What is the minimal form of the function represented by the Karnaugh map?

• b'd'+a'd'
  
  

• a'b'+b'd'+a'b'd'
  
  

• b'd'+a'b'd'

• a'b'+b'd'+a'd'

The Boolean function x'y' + xy + x'y is equivalent to

• A. x' + y'

• B. x + y

• C. x + y'

• D. x' + y

Minimum sum of product expression for f(w, x, y, z) shown in Karnaugh-map below is 

• A.    xz + y'z

• A.    xz' + zx'

• A.    x'y + zx'

• A.    None of these

The number of min-terms after minimizing the following Boolean expression is _________.

[D′ + AB′ + A′C + AC′D + A′C′D]′

• 1

• 2

• 3

• 4

Consider the following Boolean expression for F:

F(P, Q, R, S) = PQ + P'QR + P'QR'S

• PQ + QR + QS

• P + Q + R + S

• P' + Q' + R' + S'

• P'R + P'R'S + P

The number (123456)₈ is equivalent to

• A. (A72E)16 and (22130232)4

• B. (A72E)16 and (22131122)4

• C. (A73E)16 and (22130232)4

• D. (A62E)16 and (22120232)4

Which of the following function implements the Karnaugh map shown below?

• A

• B

• C

• D