Question: A device accepts natural binary numbers in the range 0000 to 1111 that represent 0 to 15. The output of the circuit is True if

A device accepts natural binary numbers in the range 0000 to 1111 that represent 0 to 15. The output of the circuit is True if the input to the circuit represents a prime and odd number. Cant occur (dont care) if the input to the circuit represents a prime and even number. False otherwise. A prime number is an integer that is greater than 1 and is divisible only by itself and 1. Zero and one are not prime numbers.

a) Draw a truth table to represent the problem and use it to construct a Karnaugh map.

b) Use the Karnaugh map to obtain a simplified expression for the function.

c) Construct a circuit to implement the function using AND, OR and NOT gates.

d) Construct a circuit to implement the function using NAND gates only.

e) Construct a circuit to implement the function using NOR gates only.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

1. A device accepts natural binary numbers in the range 0000 to 1111 that represent 0 to 15. The output of the circuit is True if the input to the circuit represents a prime and odd number. Can't...

A device accepts natural binary numbers in the rang 0000 to 1111 which represent 0 to 15. The output of the circuit is true if the input to the circuit represents a prime number and is false...

2.15 A circuit has four inputs, P, Q, R, and S,representing the natural binary numbers 0000 0, to 1111 15. P is the most-significant bit. The circuit has one output, X, which is true if the number...

2.5 --> you can skip the part about drawing a circuit using NAND gates only Thank You :) A circuit has four inputs, P, Q, R and S, representing the natural binary numbers 0000 = 0, to 1111 = 15. P is...

2.15 A circuit has four inputs, P. Q, R, and S, representing the natural binary numbers 0000 0, to 1111- 15. P is the most-significant bit. The circuit has one output, X, which is true if the number...

Extend your design from Part V code below so that is uses all 7-segment displays on your DE-series board. Your circuit needs to display a three- or four-letter word, corresponding to Table 2, using...

2.15 A circuit has four inputs, P, Q, R, and S, representing the natural binary numbers 0000= 0, to 1111= 15. P is the most-significant bit.The circuit has one output, X, which is true if the number...

Please make sure to answer each part. & design first and second circuit implementation. As well as truth table! 2.15 A circuit has four inputs, P, Q, R, and S, representing the natural binary numbers...

2.15 A circuit has four inputs, P, Q, R, and S, representing the natural binary numbers 0000 = 0, to 1111 = 15.P is the most-significant bit. The circuit has one output, X, which is true if the...

1. Dave earns $6,000 per month and is covered through his employer for Workers Compensation. Dave also has a private disability insurance policy with a benefit of $4,200 per month. The policy...

A locally owned department store samples two customers in each of five geo-graphic areas to estimate consumer spending in its home appliances department. It is estimated that these customers are a...

The degree of sensitivity has to changes in interest rates decreases the shorter time period to maturity I longer the time period to maturity lower the coupon IV higher the coupon coup

5.1. Ash County's organizational structure includes one county manager and three deputy county managers. Each of the deputies oversees a handful of departments and provides human resource support and...

Were all members comfortable brainstorming in front of each other?

4. What will the team agreement contain?

Did team members feel like they had autonomy and ownership of the project?