Encoding Schemes and Number System

Topics in this chapter

• Number Systems and Radix Concepts
• Interconversion Between Number Systems
• Binary Arithmetic and Bitwise Operations
• Signed Integer Representation and Two's Complement
• Binary Coded Decimal (8421 BCD)
• Character Encoding Schemes (ASCII, ISCII, and Unicode)

Cheat sheet

Practice questions

1. Question 1Q-6C2E77

   Which 8-bit binary representation is equivalent to the decimal number 45?

   1. A.00101101
   2. B.00110101
   3. C.00101110
   4. D.00110110
   See the answer and solution
2. Question 2Q-3D339B

   Which statement correctly distinguishes ASCII from Unicode?

   1. A.ASCII can represent characters from every writing system using exactly 7 bits.
   2. B.ASCII represents a limited set of characters, while Unicode supports characters from many writing systems.
   3. C.Unicode is used only for numbers, whereas ASCII is used only for alphabets.
   4. D.ASCII and Unicode are positional number systems used for arithmetic calculations.
   See the answer and solution
3. Question 3Q-6942F3

   Convert the hexadecimal number (2F)16 into its decimal equivalent and its 8-bit binary equivalent. Also state why hexadecimal notation is convenient for representing binary data.

   See the answer and solution
4. Question 4Q-C2F375

   What is the decimal equivalent of the octal number (157)₈?

   1. A.95
   2. B.111
   3. C.127
   4. D.157
   See the answer and solution
5. Question 5Q-0AC430

   Which statement about UTF-8 is correct?

   1. A.Every character is always stored using exactly 2 bytes.
   2. B.It can represent only the 128 characters of basic ASCII.
   3. C.It uses a variable number of bytes, from 1 to 4, for a character.
   4. D.It is a number system having base 8.
   See the answer and solution