Digital Signal Representation
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Questions and Answers

What is the radix or base of the decimal number system?

  • 10 (correct)
  • 16
  • 8
  • 2
  • How many digits are there in the binary system?

  • 10
  • 2 (correct)
  • 4
  • 8
  • What is the correct term for the time required to send one bit in a digital signal?

  • Bit Interval (correct)
  • Frequency
  • Bit Rate
  • Period
  • Which number system is used by computers for their operations?

    <p>Binary</p> Signup and view all the answers

    How many basic numbers are used in the decimal number system?

    <p>10</p> Signup and view all the answers

    What is the correct definition of the term 'bit rate' in a digital signal?

    <p>The number of bit intervals per second</p> Signup and view all the answers

    How many digits and characters make up the hexadecimal system?

    <p>10 digits and 6 alphabetic characters</p> Signup and view all the answers

    What is the base value of the hexadecimal system?

    <p>16</p> Signup and view all the answers

    What is the weight of the least significant bit (LSB) in a hex number?

    <p>$160 = 1$</p> Signup and view all the answers

    How can a decimal number be converted to a hexadecimal number?

    <p>By dividing the decimal number by 16</p> Signup and view all the answers

    In BCD code, how is each decimal digit represented?

    <p>As a four-bit binary code</p> Signup and view all the answers

    What is another name for the 8-4-2-1 code used in BCD?

    <p>$8-4-2-1$ code</p> Signup and view all the answers

    What is the binary equivalent of (672)8?

    <p>110110010</p> Signup and view all the answers

    When converting (36)8 to binary, what is the correct binary representation?

    <p>100110</p> Signup and view all the answers

    How many bits are grouped together in the binary to octal conversion process?

    <p>4 bits</p> Signup and view all the answers

    What is the octal equivalent of (101111100)2?

    <p>(461)8</p> Signup and view all the answers

    Why is the hexadecimal number system used in digital systems and computers?

    <p>To handle very large numbers efficiently</p> Signup and view all the answers

    How are bits grouped when forming a hexadecimal number from a binary number?

    <p>In groups of 4 bits</p> Signup and view all the answers

    Study Notes

    Number Systems and Their Bases

    • The decimal number system operates on a base of 10.
    • The binary system consists of 2 digits: 0 and 1.
    • The hexadecimal system has a base value of 16.

    Digital Signal Terminology

    • The time required to send one bit in a digital signal is known as 'bit time.'
    • 'Bit rate' refers to the number of bits transmitted per unit of time, typically measured in bits per second (bps).

    Number Representations

    • In the decimal number system, there are 10 basic digits: 0 through 9.
    • The hexadecimal system includes 16 digits, comprising 0-9 and letters A-F (where A=10, B=11, C=12, D=13, E=14, F=15).

    Binary and Octal Conversions

    • The weight of the least significant bit (LSB) in a hexadecimal number is 1.
    • To convert a decimal number to hexadecimal, divide the number by 16 and use the remainder to denote digits from least significant to most significant.
    • Each decimal digit in Binary-Coded Decimal (BCD) representation is encoded with 4 bits.

    BCD Code

    • The 8-4-2-1 code is another term for BCD, representing decimal values with binary digits.

    Octal and Binary Relations

    • The binary equivalent of the octal number (672)8 is determined through conversion processes.
    • The octal equivalent of a binary number like (101111100)2 is found by grouping bits into sets of three from the right side.

    Grouping Bits for Conversion

    • In binary to octal conversion, bits are grouped in sets of three.
    • When forming a hexadecimal number from a binary number, bits are grouped in sets of four.

    Applications in Computing

    • The hexadecimal system is widely used in digital systems and computers due to its compact representation of binary data.

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    Quiz Team

    Description

    Learn about how data can be represented by a digital signal, encoding 1s and 0s as positive and zero voltage. Understand terms like bit interval and bit rate to describe digital signals.

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