What is binary and why do we use it?
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The document discusses binary numbers and how to convert between binary and decimal representations. It explains that binary uses only two digits, 0 and 1, and the place value of each digit determines its weight. To convert binary to decimal, you multiply each binary digit by its place value and sum the results. It provides examples of converting individual numbers between binary and decimal formats and describes how to perform the conversions using Excel functions like SUM(), INT(), and MOD().
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Module 1 number systems and code1
Number systems - Efficiency of number system, Decimal, Binary, Octal, Hexadecimalconversion
from one to another- Binary addition, subtraction, multiplication and division,
representation of signed numbers, addition and subtraction using 2’s complement and I’s
complement.
Binary codes - BCD code, Excess 3 code, Gray code, Alphanumeric code, Error detection
codes, Error correcting code.Deepak john,SJCET-Pala
DCF QNA edited
The document provides information about different number systems used in computers, including binary, octal, hexadecimal, and decimal. It explains the characteristics of each system such as the base and digits used. Methods for converting between number systems like binary to decimal and vice versa are presented. Shortcut methods for direct conversions between binary, octal, and hexadecimal are also described. Binary arithmetic and binary-coded decimal number representation are discussed.
Lesson4.1 u4 l1 binary representation
Students will learn about binary representation. Binary uses only two digits, 0 and 1, to represent all digital data in computers. The document explains how to convert between binary and decimal numbering systems. It provides examples of converting specific numbers between bases and describes an algorithm for converting any number between binary and decimal. Students will practice conversions and learn that binary is an abstraction that computers use to represent all digital information behind the scenes.
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What is binary and why do we use it?
- 2. The first computer was NOT a binary machine .. but that was a mistake
- 5. Confident?
- 7. How binary works Units (1s) 0 2s 1 4s 1 Just two numbers, 0 and 1 8s 1 16s 1 32s 0 Place matters 64s 1 128s 0 To convert to decimal, just add them up! 0*128 + 1*64 + 0*32 + 1*16 + 1*8 + 1*4 + 1*2 + 0*1
- 8. Can you do it? Decimal number 128 64 32 16 8 4 2 1 0 0 0 0 0 1 1 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 1 0 1 1 1 1 0 1 0 0 1 0 1 0 1 1 1 1 1 1 1 1 1 1
- 9. Can you do it the other way? Decimal number 128 64 32 16 8 4 2 1 6 7 15 23 62 127 96
- 10. What’s the bottom of Excel?
- 11. Excel binary to decimal Use eight cells for the binary number Put the magic numbers below: 128,64,32,16,8,4,2,1 Multiply * Add the results =sum() Make it look good Can you do it the other way round?
- 12. Excel decimal to binary Use =div() to divide by two Keep doing it Use =mod() to find the remainder That gives you the binary digits =int(/2) Decimal number here =mod(,2)
- 13. Can you …. Write out a binary number? Convert binary to decimal? Convert decimal to binary? Use multiply in a spreadsheet? Drag-Copy in a spreadsheet? Use =SUM() in a spreadsheet? Use =INT() in a spreadsheet? Use =MOD() in a spreadsheet?