A logic circuit realizing the function f has four inputs A, B, C and D. The thre

Question

A logic circuit realizing the function f has four inputs A, B, C and D. The three inputs A, B, 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, ie the value of D is such that A, B, C and D allways contain an odd number of 1's. (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 a prime number. (A number is prime if it divisible only by itself and 1; 2 is considered to be prime but 0 and 1 are not)

A list of the minterms and don't care minterms of f is :

Question 23 options:

f = ?m(4,7,11,14) + d(0,3,5,6,9,10,12,15)

f = ?m(2,3,5,7) + d(0,1,4,6,8,9,10,11,12,14,15)

f = ?m(2,3,5,7,11,13) + d(0,1,2,4,6,8,9,10,12,14,15)

None of the above

f = ?m(4,7,11,14) + d(0,3,5,6,9,10,12,15)

f = ?m(2,3,5,7) + d(0,1,4,6,8,9,10,11,12,14,15)

f = ?m(2,3,5,7,11,13) + d(0,1,2,4,6,8,9,10,12,14,15)

None of the above

Explanation / Answer

f = ?m(2,3,5,7) + d(0,1,4,6,8,9,10,11,12,14,15)

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.