Physics · Logic gates (OR, AND, NOT, NAND and NOR)
What will be the input of and for Boolean expression \[ (\overline{A+B})(\overli
What will be the input of \( A \) and \( B \) for Boolean expression \[ (\overline{A+B})(\overline{A \cdot B})=1 \]
- A. 0,0
- B. 0,1
- C. 1,0
- D. \( 1, \)
Step-by-step solution
Evaluate the Boolean expression (A+B)⁻(A·B)⁻ = 1 for each option. For A=0, B=0: (0+0)⁻ = 1, (0·0)⁻ = 1, AND gives 1. For other options, the result is 0. Only A=0, B=0 satisfies.
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