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Problem 21

Write a grammar that generates the strings having the given property. Exponential numbers (numbers including floating-point numbers and numbers such as \(6.9 \mathrm{E} 3,8 \mathrm{E} 12,9.6 \mathrm{E}-4,9 \mathrm{E}-10)\)

Problem 21

Design nondeterministic finite-state automata that accept the strings over \(\\{a, b\\}\) having the properties specified. Starting either \(a b b\) or \(b a\)

Problem 21

Draw the transition diagram of a finite-state automaton that accepts the given set of strings over \(\\{a, b\\}\). Even number of \(a\) 's

Problem 21

In Exercises \(21-26,\) design a finite-state machine having the given properties. The input is always a bit string. Outputs 1 if an even number of 1 's have been input; otherwise, outputs 0

Problem 22

Draw the transition diagram of a finite-state automaton that accepts the given set of strings over \(\\{a, b\\}\). At least one \(b\)

Problem 22

Write a grammar that generates the strings having the given property. All strings over \(\\{a, b\\}\)

Problem 22

Design a finite-state machine having the given properties. The input is always a bit string. Outputs 1 if two or more 1 's are input; otherwise, outputs 0

Problem 22

Design nondeterministic finite-state automata that accept the strings over \(\\{a, b\\}\) having the properties specified. Containing either \(a b b\) or \(b a\)

Problem 23

Draw the transition diagram of a finite-state automaton that accepts the given set of strings over \(\\{a, b\\}\). Exactly one \(b\)

Problem 23

Design a finite-state machine having the given properties. The input is always a bit string. Outputs 1 if \(k\) 1's have been input, where \(k\) is a multiple of 3 ; otherwise, outputs 0

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