MCS-177 Homework 1, Spring 2005

Due: February 14, 2005

Do exercise 1.12, p. 18.
Exercise 1.x1: Write a Scheme expression with no multidigit numbers in it that has 271 as its value.
Do exercise 1.14, p. 19.
Do exercise 1.15, p. 19.
Do exercise 1.16, p. 19.
Exercise 2.x1: The following definition makes use of quotient, which is a procedure built in to Scheme. The quotient procedure divides one integer by another, but returns only the quotient, ignoring the remainder. For example, (quotient 2718 10) evaluates to 271, because 271 is the number of times 10 goes into 2718. Your task is to list the steps in evaluating (round-down 2718), using the same format as at the bottom of page 26 in your textbook.
```
(define round-down
  (lambda (n)
    (if (< n 10)
        n
        (* (round-down (quotient n 10))
           10))))
```