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.
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
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? 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 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. 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.
Please solve all parts in this problem neatly
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