Data Representations and Databases


Data Representations
Discrete elements of information are represented in a digital system by physical quantities called signals such as voltage and currents are the most common. The signals in all present-day electronic digital systems have only two discrete values and are said to be binary. The digital-system designer is restricted to the use of binary signals because of the lower reliability of many-valued electronic circuits. For example, to translate unsigned binary integers to decimal:
   dec = (Dn-1×2n-1) + (Dn-2×2n-2) + … +(D1×21) + (D0×20)
Each digit Dj is multiplied by 2j . For example, the decimal equivalent of the binary number (11010)2 can be found from the multiplication of the digits by powers of 2:
   (11010)2 = 

= ( )10  
Databases
A database is an organized collection of structured information, or data, typically stored electronically in a computer system. A database is usually controlled by a database management system (DBMS). Together, the data and the DBMS, along with the applications that are associated with them, are referred to as a database system, often shortened to just database.


Review: Data Representation
    What is the decimal value of the bit string: 00101101?

      23
      31
      45
      57
Result: