Binary and Octal Number Systems

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Questions and Answers

In the binary number system, how many bits make a byte?

  • 8 bits (correct)
  • 4 bits
  • 16 bits
  • 10 bits

Which number system uses 8 digits with a base of 8?

  • Binary number system
  • Decimal number system
  • Octal number system (correct)
  • Hexadecimal number system

What is the base of the hexadecimal number system?

  • 16 (correct)
  • 8
  • 12
  • 10

Which number system is commonly used to represent numbers in real life?

<p>Decimal number system (C)</p> Signup and view all the answers

In the hexadecimal system, what numbers do A-F represent in the decimal number system?

<p>10-15 (C)</p> Signup and view all the answers

Why is the hexadecimal system used in computers?

<p>To reduce the large-sized strings of the binary system (C)</p> Signup and view all the answers

What is the equivalent decimal number of (6F)16?

<p>97 (D)</p> Signup and view all the answers

Which steps are involved in converting a number from binary to the decimal system?

<p>Multiply digits with base exponents and add them (D)</p> Signup and view all the answers

How is the decimal equivalent of a binary number found?

<p>By multiplying each digit by base exponents and adding them (C)</p> Signup and view all the answers

What is the decimal equivalent of 1001112?

<p>39 (A)</p> Signup and view all the answers

What are the two digits used in the binary number system?

<p>0 and 1</p> Signup and view all the answers

How many digits make up a byte in the binary number system?

<p>8</p> Signup and view all the answers

What are the digits used in the octal number system?

<p>0, 1, 2, 3, 4, 5, 6, 7</p> Signup and view all the answers

How many digits does the hexadecimal number system use?

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

Explain the steps involved in converting a number from binary to decimal system.

<p>Multiply each digit by the exponents of the base (starting from the rightmost digit), then simplify and add the products.</p> Signup and view all the answers

How would you convert the binary number 1001112 into the decimal system?

<p>1001112 = 3910</p> Signup and view all the answers

Why is the hexadecimal system used in computers?

<p>The hexadecimal system is used to reduce large-sized strings of the binary system.</p> Signup and view all the answers

What is the equivalent decimal number of (4B2A)16 in the hexadecimal system?

<p>The equivalent decimal number of (4B2A)16 is 19242.</p> Signup and view all the answers

Explain the process of converting a decimal number to binary.

<p>Divide the given number by 2 repeatedly until the quotient is 0, then write the remainders from bottom to top.</p> Signup and view all the answers

Which number system uses 8 digits with a base of 8?

<p>The octal number system uses 8 digits with a base of 8.</p> Signup and view all the answers

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