 Computer Science
De Anza College Creating a Program for Algorithm that Converts Decimal to Binary

De Anza College

### Question Description

I’m trying to study for my Computer Science course and I need some help to understand this question.

Project 1

The following algorithm converts decimal to binary using repeated division by 2.

Write a program using any programming language to execute repeated division by 2.

Project 2

The following algorithm is division algorithm. Write a program using any programming language for division algorithm.

### Unformatted Attachment Preview

The following algorithm converts decimal to binary using repeated division by 2. Write a program using any programming language to execute repeated division by 2. Input: n [a nonnegative integer] Algorithm Body: q := n, i := 0 [Repeatedly perform the integer division of q by 2 until q becomes 0. Store successive remainders in a one-dimensional array r , r , r , . . . , r [k]. Even if the initialvalue of q equals 0, the loop should execute one time (so that r  is computed ). Thus the guard condition for the while loop is i = 0 or q  = 0.] while (i = 0 or q  = 0) r [i] := q mod 2 q := q div 2 [r [i] and q can be obtained by calling the division algorithm.] i := i + 1 end while [After execution of this step, the values of r , r , . . . , r [i − 1] are all 0’s and 1’s, and a = (r [i − 1]r [i − 2] · · · r r r )2 .] Output: r , r , r , . . . , r [i − 1] [a sequence of integers] The following algorithm is division algorithm. Write a program using any programming language for division algorithm. Division Algorithm [Given a nonnegative integer a and a positive integer d, the aim of the algorithm is to ﬁnd integers q and r that satisfy the conditions a = dq + r and 0 ≤ r < d. This is done by subtracting d repeatedly from a until the result is less than d but is still nonnegative. 0 ≤ a − d − d − d − · · · − d = a − dq < d. The total number of d’s that are subtracted is the quotient q. The quantity a − dq equals the remainder r .] Input: a [a nonnegative integer], d [a positive integer] Algorithm Body: r := a, q := 0 [Repeatedly subtract d from r until a number less than d is obtained. Add 1 to q each time d is subtracted.] while (r ≥ d) r := r − d q := q + 1 end while [After execution of the while loop, a = dq + r .] Output: q, r [nonnegative integers] ...
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