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.