Select the correct alternative from the given choices. For a...

Select the correct alternative from the given choices. For a MUX to function as a full adder what should be the input provided to the $I_{0}, I_{1}, I_{2}, I_{3}$ if the $A$ and $B$ are the select lines? (A) $I_{0}=I_{1}=C_{\text {in }} ; I_{2}=I_{3}=\overline{C_{\text {in }}}$ (B) $I_{0}=I_{1}=\overline{C_{\text {in }}} ; I_{2}=I_{3}=C_{\text {in }}$ (C) $I_{0}=I_{3}=C_{\text {in }} ; I_{1}=I_{2}=\overline{C_{\text {in }}}$ (D) $I_{0}=I_{3}=\overline{C_{\text {in }}} ; I_{1}=I_{2}=C_{\text {in }}$

Select the correct alternative from the given choices.
For a MUX to function as a full adder what should be the input provided to the $I_{0}, I_{1}, I_{2}, I_{3}$ if the $A$ and $B$ are the select lines?
(A) $I_{0}=I_{1}=C_{\text {in }} ; I_{2}=I_{3}=\overline{C_{\text {in }}}$
(B) $I_{0}=I_{1}=\overline{C_{\text {in }}} ; I_{2}=I_{3}=C_{\text {in }}$
(C) $I_{0}=I_{3}=C_{\text {in }} ; I_{1}=I_{2}=\overline{C_{\text {in }}}$
(D) $I_{0}=I_{3}=\overline{C_{\text {in }}} ; I_{1}=I_{2}=C_{\text {in }}$

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Key Concepts

Multiplexer (MUX)

A multiplexer is a digital device that selects one of multiple input signals and forwards the chosen input to a single output line. It uses control signals, known as select lines, to determine which input to pass along, making it a versatile component for implementing various digital functions.

Full Adder

A full adder is a fundamental digital circuit that adds three binary digits (usually two operand bits and a carry-in) to produce a sum and a carry-out. It is a key building block in digital arithmetic circuits, enabling the construction of adder units for multi-bit binary addition.

Select Lines

Select lines are control inputs used by multiplexers to determine which data input is output based on their binary value. Their configuration is critical when mapping logical functions (such as those in a full adder) onto multiplexers, ensuring that the correct input is chosen for each combination of control signals.

Boolean Function Realization

Boolean function realization involves implementing a specific logic function using available digital logic components. By properly assigning inputs to a multiplexer, one can encode the truth table of a target function, such as a full adder, thereby realizing the desired Boolean expression through hardware.

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