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Converting Binary to Decimal

@thelearningloops

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Why it worked

The content is highly educational and directly addresses a common point of confusion in computer science, making it valuable for students and learners. The clear, step-by-step visual explanation simplifies a complex topic, increasing its shareability among those seeking to understand number systems.

Summary

This slideshow explains how to convert binary numbers to decimal numbers. It breaks down the process into three steps: writing out powers of 2, calculating those powers where the binary digit is 1, and summing the results. A table of common binary to decimal conversions is also provided.

Structure

1Title slide: Converting Binary to Decimal
2Introduction with example: 0111 -> 7
3Step 1: Write out powers of 2
4Step 2: Calculate powers of 2 for '1' digits
5Step 3: Sum the results
6Table of binary to decimal conversions
7Branding slide: The Learning Loops

On-screen text

Converting Binary to Decimal Binary to Decimal 0111 -> 7 1. Write Out Powers of 2 from right to left write out the powers of 2 for each digit 1 0 0 1 2³ 2² 2¹ 2⁰ Start from the power of 0 and keep counting up until your binary number has no more digits 2. Calculate Powers of 2 Calculate the powers of 2 where the binary digit is 1 1 0 0 1 2³ / / 2⁰ 8 1 We don't need to calculate the power of 2 where the digit is 0 because when we multiply it with it's binary digit, the result is 0 ex: (2² x 0) = 0 3. Sum the results Add up the result of each power previously calculated 1 0 0 1 2³ / / 2⁰ 8 1 + 9 The decimal form of the binary number 1001 is 9 Binary to Decimal Binary | Decimal 0000 | 0 0001 | 1 0010 | 2 0011 | 3 0100 | 4 0101 | 5 0110 | 6 0111 | 7 1000 | 8 1001 | 9 1010 | 10 1011 | 11 1100 | 12 1101 | 13 1110 | 14 1111 | 15 The Learning_Loops; @thelearningloops

Original caption

How to Convert Binary to Decimal #binary #numbersystems #computerscience #cs #thelearningloops