1. Let f(x, y, z) = (x XOR y) AND z and g(x, y, z) =...

Question

Question

1. Let f(x, y, z) = (x XOR y) AND z and g(x, y, z) = (x AND y) XOR (y AND z)

a) Determine if f = g is true using a truth table..

b) Give the CPOS of g.

c) Give the CSOP of f.

engineering Computer-Science

Answer 1

Answer #1

a)

x	y	z	(x XOR y)	f	x AND y	y AND z	g
0	0	0	0	0	0	0	0
0	0	1	0	0	0	0	0
0	1	0	1	0	0	0	0
0	1	1	1	1	0	1	1
1	0	0	1	0	0	0	0
1	0	1	1	1	0	0	0
1	1	0	0	0	1	0	1
1	1	1	0	0	1	1	0

b)
POS of g = (x+y+z) (x+y+z') (x+y'+z) (x'+y+z) (x'+y+z') (x'+y'+z')

c)
SOP of f = x'yz + xy'z

Answer 2

Similar Homework Help Questions

12. Let g(x), h(y) and p(z) be functions and define f(x, y, z) = g(x)h(y)p(2). Let...

12. Let g(x), h(y) and p(z) be functions and define f(x, y, z) = g(x)h(y)p(2). Let R= = {(x, y, z) E R3: a < x <b,c sy <d, eszsf} where a, b, c, d, e and f are constants. Prove the following result SS1, 5100,2)AV = L*()dx ["Mwdy ['Plzdz.
(a) Is this boolean equation valid or invalid for all possible values of x,y and z?...

(a) Is this boolean equation valid or invalid for all possible values of x,y and z? x XOR (y OR z) = (x XOR y) OR (x XOR z) (b) Prove your answer, by using a truth table
I need help on this question Thanks 1. Let g(x) = x2 and h(x, y, z) =x+ y + z, and let f(x, y) be the function defined...

I need help on this question Thanks 1. Let g(x) = x2 and h(x, y, z) =x+ y + z, and let f(x, y) be the function defined from g and f by primitive recursion. Compute the values f(1, 0), f(1, 1), f(1, 2) and f(5, 0). f(5, ). f(5, 2) 1. Let g(x) = x2 and h(x, y, z) =x+ y + z, and let f(x, y) be the function defined from g and f by primitive recursion. Compute...

Boolean Logic A. Show the truth table for this expression: X AND (Y XOR X) B....

Boolean Logic A. Show the truth table for this expression: X AND (Y XOR X) B. Show the truth table for this expression: Y OR (Y AND NOT X) C. Show the truth table for this expression: X NOR (Y NAND X) D. Draw a digital logic circuit for the expression used in 3A. E. Draw a digital logic circuit for the expression used in 3B. F. Draw a digital logic circuit for the expression used in 3C.
3. a) Simplify the expression (ab + a’b’)(cd + c’d’) + (ab)’ b). Prove that the...

3. a) Simplify the expression (ab + a’b’)(cd + c’d’) + (ab)’ b). Prove that the expression x’y XOR xy’ = x XOR y is true. c). Simplify the function f(x, y, z) = xyz’ + xy’z’ + x’y as much as possible and give the CPOS and CSOP of f
3. Let f(x, y, ). g(y,z) and h(x,y,z) be C2 scalar functions. Prove the following identity: (a) B...

Please solve all parts in this problem neatly 3. Let f(x, y, ). g(y,z) and h(x,y,z) be C2 scalar functions. Prove the following identity: (a) By direct calculation (without using the vector identities) ( b) Using the vector identities. Clearly state which identities you have used . 3. Let f(x, y, ). g(y,z) and h(x,y,z) be C2 scalar functions. Prove the following identity: (a) By direct calculation (without using the vector identities) ( b) Using the vector identities. Clearly state...

Problem 4. (15 points each) Let F(x, y, z) = (0, x, y) G(x, y, z)...

Problem 4. (15 points each) Let F(x, y, z) = (0, x, y) G(x, y, z) = (2x, z, y) + (x, y, z) = (3y, 2x, z). (a) For each field, either find a scalar potential function or prove that none exists. (b) For each field, either find a vector potential function or prove that none exists. (c) Let F(t) = (2, 2t, t2). For which of these vector fields is ñ a flow line? Justify your answer.
Derive backward from S = (x XOR y) XOR z to ~x~yz + ~xy~z + xyz...

Derive backward from S = (x XOR y) XOR z to ~x~yz + ~xy~z + xyz + x~y~z
Implement the function F (x,y,z)= (not x)(not z)+ xy using a. One 4-to-1 multiplexer and any...

Implement the function F (x,y,z)= (not x)(not z)+ xy using a. One 4-to-1 multiplexer and any additional inverters. Show your truth-table and justify your choice of select inputs. b. One 2-to-1 multiplexer and the minimal number of gates. Show the truth table used to derive your circuit.

(1 point) Let F = xi+ (x + y) 3+ (x – y+z) k. Let the...

(1 point) Let F = xi+ (x + y) 3+ (x – y+z) k. Let the line l be x = 4t – 3, y = — (5 + 4t), z = 2 + 4t. = (20, Yo, zo) where F is parallel to l. (a) Find a point P P= Find a point Q = (x1, Yı, z1) at which F and I are perpendicular. Q - Give an equation for the set of all points at which F...

x	y	z	(x XOR y)	f	x AND y	y AND z	g
0	0	0	0	0	0	0	0
0	0	1	0	0	0	0	0
0	1	0	1	0	0	0	0
0	1	1	1	1	0	1	1
1	0	0	1	0	0	0	0
1	0	1	1	1	0	0	0
1	1	0	0	0	1	0	1
1	1	1	0	0	1	1	0

x	y	z	(x XOR y)	f	x AND y	y AND z	g
0	0	0	0	0	0	0	0
0	0	1	0	0	0	0	0
0	1	0	1	0	0	0	0
0	1	1	1	1	0	1	1
1	0	0	1	0	0	0	0
1	0	1	1	1	0	0	0
1	1	0	0	0	1	0	1
1	1	1	0	0	1	1	0

x	y	z	(x XOR y)	f	x AND y	y AND z	g
0	0	0	0	0	0	0	0
0	0	1	0	0	0	0	0
0	1	0	1	0	0	0	0
0	1	1	1	1	0	1	1
1	0	0	1	0	0	0	0
1	0	1	1	1	0	0	0
1	1	0	0	0	1	0	1
1	1	1	0	0	1	1	0