A multiplexer with 16 inputs requires ___ select lines. Hint: The answer must be

Question

A multiplexer with 16 inputs requires ___ select lines. Hint: The answer must be a number. Use decimal (base 10), not binary (base 2) nor hexadecimal (base 16).

A multiplexer with 128 inputs requires ___ select lines. Hint: The answer must be a number. Use decimal (base 10), not binary (base 2) nor hexadecimal (base 16).

A multiplexer with ___ inputs requires 16 select lines. Hint: The answer must be a number. Use decimal (base 10), not binary (base 2) nor hexadecimal (base 16).

A multiplexer with ___ inputs requires 2 select lines. Hint: The answer must be a number. Use decimal (base 10), not binary (base 2) nor hexadecimal (base 16).

A decoder with 4 input lines will have ___ output lines. Hint: The answer must be a number. Use decimal (base 10), not binary (base 2) nor hexadecimal (base 16)

A decoder with 2 input lines will have ___ output lines. Hint: The answer must be a number. Use decimal (base 10), not binary (base 2) nor hexadecimal (base 16).

A decoder with ___ input lines will have 64 output lines. Hint: The answer must be a number. Use decimal (base 10), not binary (base 2) nor hexadecimal (base 16)

How many inputs does a function have, given that its truth table has 64 input combinations? Hint: The answer is not 64. One thing are "inputs" and something else are "input combinations".

Explanation / Answer

a multiplexer with 2^n inputs requires n select lines.so

A multiplexer with 16 inputs requires _4__ select lines.16=2^4 so 4 lines

A multiplexer with 128 inputs requires _7__ select lines.128=2^7 7 lines

A multiplexer with __2^16_ inputs requires 16 select lines 2^16

A multiplexer with _4__ inputs requires 2 select lines ->2^2=4

A decoder with 4 input lines will have _16__ output lines 2^4

A decoder with 2 input lines will have _4__ output lines 2^2

A decoder with _6__ input lines will have 64 output lines 2^6=64

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