What is Binary (Computer Science)
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The document explains the concept of binary and decimal number systems, emphasizing that binary uses a base of 2 while decimal uses a base of 10. It provides examples of number conversions and operations in binary, including addition and subtraction, as well as practical applications in programming languages like JavaScript. Additionally, it mentions the widespread use of UTF-8 encoding for special characters on the web.
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What is Binary (Computer Science)
- 1. What is Binary? Presented by developerX
- 2. BI * NA * RY Relating to, using, or expressed in system of numerical notation that has 2 rather than 10 as a base.
- 5. DEC * I * MAL Relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.
- 6. Decimal Symbols 0 - 1 - 2 - 3 - 4 - 5 - 6 - 7 - 8 - 9
- 7. Positional Notation A system of expressing numbers in which the digits are arranged in succession, the position of each digit has a place value, and the number is equal to the sum of the products of each digital by its place value https://www.merriam-webster.com/dictionary/positional%20notation
- 10. Binary System 0010111 = (1 * 64) + (1 * 32) + (1 * 16) + (1 * 4) = 116 Alternative: 0010111 = (1 * 2^6) + (1 * 2^5) + ( 1 * 2^4) + (1 * 2^2) = 116
- 11. Practice What numbers are these? 00000111 10100011 01001101
- 12. Adding What is 10010101 + 11110010? What is 10010101 + 11110010? 10010101 + 11110010 = 128 * 2 + 64 * 1 + 32 * 1 + 16 * 2 + 4 * 1 + 1 * 1 10010101 + 11110010 = 256 + 64 + 32 + 32 + 4 + 1 10010101 + 11110010 = 391
- 13. Subtracting Solve this puzzle 10010101 - 11110010
- 14. Translate: 01100111 0110001 0110000 0110001 UTF-8: Because more special characters are needed most of the web is using (87%) UTF-8.
- 15. Seeing Binary in Javascript Binary ---> Decimal parseInt(‘01001000’, 2) // => 72 Decimal ---> Binary (45).toString(2)// => '101101' Binary ---> String String.fromCodePoint(parseInt('11111010010111110', 2)) // => "💾" String ---> Binary "💾".codePointAt().toString(2) //=> ‘11111010010111110’
- 16. Questions? Thank you for learning about Binary