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The simultaneous equations on the Boolean variables x, y, z and w,
have the following solution for x, y, z and w, respectively:
  • a)
    0 1 0 0
  • b)
    1 1 0 1
  • c)
    1 0 1 1
  • d)
    1 0 0 0
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The simultaneous equations on the Boolean variables x, y, z and w,have...
Statement 1 :  x + y + z = 1

OPTION    x  y  z  w    LHS     LHS=1
-------------------------------------- 
  A       0  1  0  0     1       Yes
  B       1  1  0  1     1       Yes
  C       1  0  1  1     1       Yes
  D       1  0  0  0     1       Yes

Statement 2 : x y = 0

OPTION    x  y  z  w    LHS     LHS=0
-------------------------------------- 
  A       0  1  0  0     0       Yes
  B       1  1  0  1     1       No
  C       1  0  1  1     0       Yes
  D       1  0  0  0     0       Yes
Since LHS ≠ 0, B is not possible.

 

Statement 3 : x z + w = 1

OPTION    x  y  z  w    LHS     LHS=1
-------------------------------------- 
  A       0  1  0  0     0       No
  C       1  0  1  1     1       Yes
  D       1  0  0  0     0       No
Since LHS ≠ 1, A and D are not possible.

 

Statement 4 : x y + z’ w’ = 0

OPTION    x  y  z  w    LHS    LHS=0
-------------------------------------- 
  C       1  0  1  1     0      Yes

Thus, C is the correct option.
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Most Upvoted Answer
The simultaneous equations on the Boolean variables x, y, z and w,have...
Statement 1 :  x + y + z = 1
Till now, all the options are possible.
Statement 2 : x y = 0
Since LHS ≠ 0, B is not possible.
Statement 3 : x z + w = 1
Since LHS ≠ 1, A and D are not possible.
Statement 4 : x y + z’ w’ = 0
Thus, C is the correct option.
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The simultaneous equations on the Boolean variables x, y, z and w,have the following solution for x, y, z and w, respectively:a)0 1 0 0b)1 1 0 1c)1 0 1 1d)1 0 0 0Correct answer is option 'C'. Can you explain this answer?
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