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Question 113Asked in DSSSB TGT Computer Science, 7 Feb 2024, Shift 2 (12:30 PM)

Using K-map, simplify the Boolean function: F(x, y, z) = S (0, 2, 4, 5, 6)

Using K-map, simplify the Boolean function: F(x, y, z) = S (0, 2, 4, 5, 6) Which of the following is simplified function?
  1. AF = z + x'y'
  2. BF = z' + xy'
  3. CF = z + x'y
  4. DF = z' + xy
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Correct answer: (B) F = z' + xy'

Explanation

Minterms 0, 2, 4, 6 (all with z = 0) group into z'. Minterms 4 and 5 (x = 1, y = 0) group into xy'. So F = z' + xy'.

From DSSSB TGT Computer Science PYQ, 7 Feb 2024, Shift 2 (12:30 PM)

This is question 113 of DSSSB TGT Computer Science PYQ, 7 Feb 2024, Shift 2 (12:30 PM). See all questions of this paper with answers, or attempt the paper as a timed online test to get your score and all-India rank.