For each of these functions, determine its domain, codomain, and range.    f: Z → R, f(n) = 7

Determine whether each of the following functions f : {a,b,c,d} -> {a,b,c,d} is one-to-one and/or onto.  (a) f(a) = b, f(b) = a, f(c) = b, f(d) = c (b)  f(a) = b, f(b) = b, f(c) = d, f(d) = c (c)  f(a) = b, f(b) = a, f(c) = c, f(d) = d (d)  f(a) = d, f(b) = a, f(c) = c, f(d) = b (e)  f(a) = c, f(b) = d, f(c) = a

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Standard and Canonical Forms | Verilog | K-Map Consider the following Boolean Function: F(p,q,r) = p'q' + p'r' + qr On a separate sheet of paper complete the truth table for the function then transcribe the information requested below. Express the function in three canonical forms F(p,q,r) = F(p,q,r) = F(p,q,r) = Minimized function р q r Notation Designation F On a separate sheet of paper prepare and complete a K-Map for the function and use it to minimize the function X yz 0 1 F (p, q, r): = 00 1 mo 0 x'y'z' C r Minterm 1 1 01 C C r r 1 1 11 C C r r 1 1 10 C C r r