Question: A logic circuit realizing the function f has four inputs A, B, C, and D. The three inputs A, B, and C are the binary

A logic circuit realizing the function f has four inputs A, B, C, and D. The three inputs A, B, and C are the binary representation of the digits 0 through 7 with A being the most-significant bit. The input D is an odd-parity bit, i.e., the value of D is such that A, B, C, and D always contain an odd number of 1s. (For example, the digit 1 is represented by ABC = 001 and D = 0, and the digit 3 is represented by ABCD = 0111.) The function f has value 1 if the input digit is an odd number and value 0 if the input digit is an even number.'

(a) List the minterms and dont-care minterms of f in algebraic form.

(b) List the maxterms and dont-care maxterms of f in algebraic form.

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!

A bank vault has three locks with a different key for each lock. Each key is owned by a different person. To open the door, at least two people must insert their keys into the assignated lock. The...

A logic circuit realizing the function f has four inputs a , b , c , d . The three inputs a , b , and c are the binary representation of the digits 0 through 7 with a being the most significant bit....

Question 6 (4 points) A logic circuit realizing the function F has four inputs A, B, C and D. The inputs A and B represent a two-bit number N1 and the inputs C and D represents another two-bit number...

3. A logic circuit realizing the function f has 4 inputs a,b,c, and d. The 3 inputs a,b, and c are the binary representation of the digits 0 through 7 with a being the most significant bit. The input...

Please help and explain which input gate could be used for the implementation Consider the design of two logic circuits that both have four inputs: A, B, C and D; and one output: X. Each circuit is...

Consider the design of two logic circuits that both have four inputs: A, B, C and D; and one output: X. Each circuit is implemented using 4-input AND gates (with negated inputs) and each circuit has...

Consider the design of two logic circuits that both have four inputs: A, B, C and D; and one output: X. Each circuit is implemented using 4-input AND gates (with negated inputs) and an OR gate to...

P1 (10 points): Using the expression for 2-1 multiplexers and 4-1 multiplexers, show that the expression for T in the following circuit is T=(W+X)(Y + Z)(W+T) 01 10 Multiplexer P2 (14 points): Given...

Class 6 1. (50 points) Design the simplest circuit that has four inputs, a, b, c, and d, which produces an output value of 1 whenever three or more of the input variables have the value 1; otherwise,...

Given the information below, determine the radius of the steel shaft such that the external reaction R = R/3. Ra a 2 in-k * aluminum. 18 in b steel 21 in R.g solid shaft ab: Ga= 4000 ksi, radius=...

Distinguish between corporate-level, business-level and functional-level strategies.

sorusunu nas l zerim 3 - 5 1 . Cables A B and A C can sustain a maximum tension of 5 0 0 N , and the pole can support a maximum compression of 3 0 0 N . Determine the maximum weight of the lamp that...

5. Develop a scenario comparing two PH programs and involving the use of a CBA.

(Appendices) INCOME EFFECTS OF UNCOLLECTIBLE ACCOUNTS. The credit manager and the accountant for Goldsmith Company are attempting to assess the effect on net income of writing off $100,000 of...

(Appendices) ERRORS IN ENDING INVENTORY. From time to time, business newspapers report that the management of a company has misstated its profits by knowingly establishing an incorrect amount for its...

(Appendices) AVERAGE UNCOLLECTIBLE ACCOUNT LOSSES AND UNCOLLECTIBLE ACCOUNT EXPENSE. The accountant for Porile Company prepared the following data for sales and uncollectible account losses: LO8...