Q2. You are to design a circuit that takes a 4-bit number as input (A, A2, A,, A) and generates an output which is 1 if the input number is one of the Fibonacci numbers between 2 and 15 and 0 otherwise. You may assume that the input is never 0 or 1. The most significant bit of the input is A,. Please use the Karnaugh map below for this problem. A1A0 A3A2 The Fibonacci numbers are 0, 1, 1, 2, 3, 5, 8, 13, 21, . . .. a) Write this function as a list of minterms (Em(...) notation). Indicate don't cares if you have any. b) Simplify the function using the Karnaugh map. c) Draw a circuit diagram for the minimized function using only AND, OR, and NOT gates.

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Q2. You are to design a circuit that takes a 4-bit number as input (A3, A2, A,, A,) and generates an output
which is 1 if the input number is one of the Fibonacci numbers between 2 and 15 and 0 otherwise. You may
assume that the input is never 0 or 1. The most significant bit of the input is A,. Please use the Karnaugh map
below for this problem.
A1A0
A3A2
The Fibonacci numbers are 0, 1, 1, 2, 3, 5, 8, 13, 21, . . ..
a) Write this function as a list of minterms (Em(...) notation). Indicate don't cares if you have any.
b) Simplify the function using the Karnaugh map.
c) Draw a circuit diagram for the minimized function using only AND, OR, and NOT gates.
Transcribed Image Text:Q2. You are to design a circuit that takes a 4-bit number as input (A3, A2, A,, A,) and generates an output which is 1 if the input number is one of the Fibonacci numbers between 2 and 15 and 0 otherwise. You may assume that the input is never 0 or 1. The most significant bit of the input is A,. Please use the Karnaugh map below for this problem. A1A0 A3A2 The Fibonacci numbers are 0, 1, 1, 2, 3, 5, 8, 13, 21, . . .. a) Write this function as a list of minterms (Em(...) notation). Indicate don't cares if you have any. b) Simplify the function using the Karnaugh map. c) Draw a circuit diagram for the minimized function using only AND, OR, and NOT gates.
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