In the circuit shown below, Y is a 2-bit (Y\(_1\)Y\(_0\)) output of the combinational logic. What is the maximum value of Y for any given digital inputs, A\(_1\)A\(_0\) and B\(_1\)B\(_0\)?
In the circuit shown below, Y is a 2-bit (Y\(_1\)Y\(_0\)) output of the combinational logic. What is the maximum value of Y for any given digital inputs, A\(_1\)A\(_0\) and B\(_1\)B\(_0\)?
Show Hint
- 01
- 10
- 00
- 11
The Correct Option is A
Solution and Explanation
- The maximum value of Y occurs when both Y\(_1\) and Y\(_0\) are at their highest possible values, i.e., when the outputs of the NAND gates are both 1. - Since the output of a NAND gate is high when at least one of the inputs is 0, the maximum value for Y = (Y\(_1\), Y\(_0\)) is achieved when all inputs are at their lowest possible values (0). Thus, for inputs A\(_1\) = 0, A\(_0\) = 0, B\(_1\) = 0, and B\(_0\) = 0, the output Y = 01. Final Answer: 01
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