. Design Turing machines to compute the following functions for x and y positive integers represented in unary. (a) f (x) = 3x.

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11. Design Turing machines to compute the following functions for x and y positive integers
represented in unary.
(a) f (x) = 3x.
(b) f (x, y) = x - y,
= 0,
x> y,
(c) f (x, y) = 2x + 3y.
(d) f (2) = ,
= 1,
if æ is even,
%3D
if x is odd.
%3D
(e) f (x) = x mod 5.
%3D
Transcribed Image Text:11. Design Turing machines to compute the following functions for x and y positive integers represented in unary. (a) f (x) = 3x. (b) f (x, y) = x - y, = 0, x> y, (c) f (x, y) = 2x + 3y. (d) f (2) = , = 1, if æ is even, %3D if x is odd. %3D (e) f (x) = x mod 5. %3D
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