How many select lines are needed for a 16-to-1 multiplexer?

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Question: How many select lines are needed for a 16-to-1 multiplexer?

Options:

Correct Answer: 4

Solution:

A 16-to-1 multiplexer requires 4 select lines because 2^4 = 16.

How many select lines are needed for a 16-to-1 multiplexer?

How many select lines are needed for a 16-to-1 multiplexer?

Step 1: Understand what a multiplexer is. A multiplexer (MUX) is a device that selects one of many input signals and forwards the selected input to a single output line.
Step 2: Identify the type of multiplexer in the question. We have a 16-to-1 multiplexer, which means it can select from 16 different input signals.
Step 3: Determine how many select lines are needed. Each select line can represent two states (0 or 1).
Step 4: Use the formula 2^n = number of inputs, where n is the number of select lines. We need to find n such that 2^n = 16.
Step 5: Calculate the value of n. Since 2^4 = 16, we find that n = 4.
Step 6: Conclude that a 16-to-1 multiplexer requires 4 select lines.

Multiplexer Functionality – A multiplexer is a device that selects one of many input signals and forwards the selected input into a single line. The number of select lines determines how many inputs can be managed.
Binary Representation – The number of select lines is determined by the formula 2^n = number of inputs, where n is the number of select lines.