Figure gives a system of logic gates. From the study of truth table it can be found that to produce a high output (1) at $R,$ we must have [image:14_image85.png]

Question

Dr. Abubacker · Accepted Answer

(c) [image:14_image232.png]
The truth table can be written as
[table] $\mathbf{X}$ | $\mathbf{Y}$ | $\overline{\mathbf{X}}$ | $\overline{\mathbf{Y}}$ | $\mathbf{P}\mathbf{=}\overline{\mathbf{X}}\mathbf{+}\mathbf{Y}$ | $\mathbf{Q}\mathbf{=}\overline{\mathbf{X}\mathbf{.}\overline{\mathbf{Y}}}$ | $\mathbf{R}\mathbf{=}\overline{\mathbf{P}\mathbf{+}\mathbf{Q}}$ ; 0 | 1 | 1 | 0 | 1 | 1 | 0 ; 1 | 1 | 0 | 0 | 1 | 1 | 0 ; 1 | 0 | 0 | 1 | 0 | 0 | 1 ; 0 | 0 | 1 | 1 | 1 | 1 | 0 [/table]
Hence $X = 1,\ Y = 0$ gives output $R = 1$

Q. Figure gives a system of logic gates. From the study of truth table it can be found that to produce a high output (1) at $R,$ we must have

Explanation

Reviewed by Dr. Abubacker

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