Consider the following statements regarding Digital Multiplexer:1.A multiplexer selects one of many inputs based on select lines and routes it to a single output.2.Number of select lines required is log2 of the number of inputs.3.Multiplexer cannot implement arbitrary Boolean functions directly.Which of the above statements is/are correct?
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A multiplexer routes one of many data inputs to a single output according to select inputs. By wiring data inputs to constants/variables appropriately, a multiplexer can implement Boolean functions. Key relation: N=2^m inputs for m select lines.
Exam focus: MUX is both a selector and a logic-function building block. Common trap: Do not claim a MUX cannot implement arbitrary Boolean functions.
Formula / Key Relation
N=2^m inputs for m select lines.
Detailed Explanation
Correct Answer: C - 1 and 2 only Quick Concept Explanation A multiplexer routes one of many data inputs to a single output according to select inputs. By wiring data inputs to constants/variables appropriately, a multiplexer can implement Boolean functions. Key relation: N=2^m inputs for m select lines.Exam focus: MUX is both a selector and a logic-function building block. Common trap: Do not claim a MUX cannot implement arbitrary Boolean functions. Statement-wise Verification Statement 1 - Correct.A multiplexer selects one of many inputs based on select lines and routes it to a single output.A multiplexer routes one of many data…
Correct Answer: C - 1 and 2 only
Quick Concept Explanation
A multiplexer routes one of many data inputs to a single output according to select inputs. By wiring data inputs to constants/variables appropriately, a multiplexer can implement Boolean functions. Key relation: N=2^m inputs for m select lines.
Exam focus: MUX is both a selector and a logic-function building block. Common trap: Do not claim a MUX cannot implement arbitrary Boolean functions.
Statement-wise Verification
Statement 1 - Correct. A multiplexer selects one of many inputs based on select lines and routes it to a single output. A multiplexer routes one of many data inputs to a single output according to select inputs.
Statement 2 - Correct. Number of select lines required is log2 of the number of inputs. N=2^m inputs for m select lines.
Statement 3 - Incorrect. Multiplexer cannot implement arbitrary Boolean functions directly. A multiplexer can implement Boolean functions by suitable assignment of data inputs
Core Concept
A multiplexer routes one of many data inputs to a single output according to select inputs. An N-to-1 multiplexer needs log2N select lines when N is a power of two. By wiring data inputs to constants/variables appropriately, a multiplexer can implement Boolean functions.
Formula / Key Relationship
N=2^m inputs for m select lines.
Why the Other Options Are Wrong
Option A is incorrect because it includes incorrect statement(s) 3 and omits correct statement(s) 2. Option B is incorrect because it includes incorrect statement(s) 3 and omits correct statement(s) 1. Option D is incorrect because it includes incorrect statement(s) 3.
Exam Shortcut / Approach
MUX is both a selector and a logic-function building block.
Common Mistake
Do not claim a MUX cannot implement arbitrary Boolean functions.
Quick Revision
MUX Selection and Logic Implementation is linked with Multiplexers, Combinational Logic and Digital Electronics. MUX is both a selector and a logic-function building block.
Quick Trick
MUX is both a selector and a logic-function building block.
Why Other Options Are Wrong
Option A is incorrect because it includes incorrect statement(s) 3 and omits correct statement(s) 2. Option B is incorrect because it includes incorrect statement(s) 3 and omits correct statement(s) 1. Option D is incorrect because it includes incorrect statement(s) 3.
Common Mistake
Do not claim a MUX cannot implement arbitrary Boolean functions.
Exam Tip
MUX is both a selector and a logic-function building block.
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