Question

Consider a simple Turing machine, tadd, that only does addition on two inputs to produce the sum as its output. What is the purpose of the Turing machine tadd?

1) To perform subtraction
2) To perform multiplication
3) To perform addition
4) To perform division

Answer 1

The Turing machine named 'tadd' is designed to perform addition on two inputs, following the basic principles of combining values and observing the commutative property of addition, which applies to whole numbers.

Step-by-step explanation:

The purpose of the simple Turing machine tadd is to perform addition on two inputs to produce the sum as its output. The basic principle to use in working with addition is to combine the values of the numbers to get an increased value or a total. When two positive numbers are added together, the answer has a positive sign, for example, 3+2 equals 5. The commutative property of addition, A+B=B+A, indicates that the order in which we add numbers does not affect the sum; whether you add 2+3 or 3+2, the result is the same. When working with whole numbers, it is important to line up the digits properly according to their place value before performing the addition.