How to Convert Binary Number to Decimal Number Using a Stack
How can we convert a binary number into an equivalent decimal number using a stack?
Do you know the process involved in converting binary to decimal using a stack?
Converting Binary to Decimal Using a Stack
Yes, we can convert a binary number into a decimal number using a stack. The process involves pushing each binary digit onto the stack, then popping them off while calculating the equivalent decimal value.
Converting a binary number to a decimal number using a stack is a fascinating process. By leveraging the stack data structure, we can efficiently convert binary digits to their decimal counterparts. Here's how the process works:
Step 1: Push Binary Digits onto the Stack
First, we initialize a stack to store the binary digits. We loop through each digit of the binary number and convert it to an integer, then push it onto the stack.
Step 2: Calculate Decimal Value
Next, we initialize variables for the decimal value and the power of 2. We then enter a loop that continues until the stack is empty.
Step 3: Pop Digits and Perform Calculations
Within the loop, we pop the top digit off the stack, multiply it by 2 raised to the current power, and add it to the decimal value. We increment the power variable for the next digit.
Step 4: Return the Decimal Value
Once the loop completes, we return the final decimal value, which is the equivalent of the original binary number.
By following these steps and utilizing a stack, we can easily convert binary numbers to decimal numbers in a recursive manner. This technique showcases the power and versatility of stacks in programming.