Divide Two Integers without Multiplication or Division
Interview Problems DSA practice problem on Onlearn.
Difficulty: medium.
Topics: How can you divide two integers without using multiplication, division, or modulus operators?, Mathematical Algorithms, Basic Arithmetic, Bitwise Operations, Loops, Conditional Statements, Time Complexity, Space Complexity, Big O Notation, Optimization, Range Checking, bit manipulation, edge cases, mathematical operations, error handling, binary search, Bitwise Operations.
Problem Statement Given two integers, dividend and divisor, divide two integers without using multiplication, division, and modulo operators. The integer division should truncate toward zero, which means fractional part is truncated. For example, 8.345 would be truncated to 8, and 2.7335 would be truncated to 2. Return the quotient. Assume we are dealing with an environment that could only store integers within the 32 bit signed integer range: [−2^31, 2^31 − 1]. For this problem, assume that your function returns 2^31 − 1 when the division result overflows (e.g., dividend = 2^31, divisor = 1). Input Specification The input will consist of two integers: dividend: An integer within the range [−2^31, 2^31 − 1] divisor: An integer within the range [−2^31, 2^31 − 1], and divisor != 0 Output Specification Return the integer quotient of the division. Constraints −2^31 <= dividend, divisor <= 2^31 − 1 divisor != 0 Sample Test Cases Sample Input 1: Sample Output 1: Explanation 1: 10 / 3 = 3.333..., which is truncated to 3. Sample Input 2: Sample Output 2: Explanation 2: 7 / 3 = 2.333..., which is truncated to 2. Sample Input 3: Sample Output 3: Explanation 3: 2147483648 / 1 would normally be 2147483648, which overflows the 32 bit signed integer range. According to the problem statement, in such a case, 2^31 1 should be returned.