Multiplexer

Question 1

Consider the circuit in below figure. f implements

A
B
A + B + C
C
A ⊕ B ⊕ C
D
AB + BC + CA
Question 1 Explanation: 
Question 2

A logic network has two data inputs A and B, and two control inputs C0 and C1. It implements the function F according to the following table.

Implement the circuit using one 4 to 1 Multiplexer, one 2-input Exclusive OR gate, one 2-input AND gate, one 2-input OR gate and one Inverter.

A
Theory Explanation.
Question 3

A multiplexor with a 4 bit data select input is a

A
4:1 multiplexor
B
2:1 multiplexor
C
16:1 multiplexor
D
8:1 multiplexor
Question 3 Explanation: 
For 'n' bit data it selects 2n : 1 input
For 4 bit data it selects 24 : 1 = 16: 1 input
Question 4

The maximum gate delay for any output to appear in an array multiplier for multiplying two n bit number is

A
On2
B
O(n)
C
O(log n)
D
O(1)
Question 4 Explanation: 
Total no. of gates being used for 'n' bit multiplication in an array multiplier (n*n) = (2n-1)
Total delay = 1 * 2n - 1 = O(2n - 1) = n
There are 4 questions to complete.

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