module 4

• What is the decimal system?


  The decimal system is a positional numeral system.
• How does the position of each digit in the decimal system affect its value?


  Each position has a value ten times that of the position to its right.
• What symbols are used in decimal notation?


  Digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
• What is the purpose of a decimal separator in decimal notation?


  It indicates the start of a fractional part.
• What is the radix of a number system?


  The total number of unique symbols available in that system.
• What is the value of the largest symbol in a number system?


  It has a magnitude of one less than the radix.
• Why is the study of number systems important for understanding computers?


  It helps us gain a better understanding of how computers perform computation.
• What is the binary number system?


  It is the true language of computers, operating in two states.
• How does the place value in the binary system work?


  Its place value is based on the number two.
• What are the places in the binary system?


  One's place, two's place, four's place, eight's place, sixteen's place, and so on.
• How does each place in the binary number system relate to the places to its right?


  Each place represents two times the place to its right.
• What is the base of the binary number system?


  The base, or radix, of the binary number system is 2.
• What symbols are used in the binary number system?


  Binary numbers are composed of two symbols: 0 and 1.
• What is the octal number system?


  • Base or radix of 8
  • Composed of eight symbols: 0, 1, 2, 3, 4, 5, 6, and 7
• What is the hexadecimal number system?


  • Base or radix of 16
  • Composed of sixteen symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, and F
• What do the symbols A to F represent in the hexadecimal system?


  They correspond to decimal numbers 10 to 15.
• How do you convert binary digits to octal?


  Group three binary digits starting from the least significant bit.
• What should you do if the grouping of binary digits does not form three digits when converting to octal?


  Append 0 to the most significant bit if necessary.
• How do you convert binary digits to hexadecimal?


  Group four binary digits starting from the least significant bit.
• What should you do if the grouping of binary digits does not form four digits when converting to hexadecimal?


  Append 0 to the most significant bit if necessary.
• What are the steps in converting binary to decimal?


  Place a number marker on the top of the digits and multiply the 1s by powers of 2.
• What is the process for converting a decimal number to binary?


  Successively divide the decimal number by 2.
• What should you do if you have a fractional part when converting a decimal to binary?


  Successively multiply the decimal number by 2.
• What are the steps in converting decimal to octal?


  Divide the decimal number by 8 until you cannot divide anymore.
• What should you do if you have a fractional part when converting a decimal to octal?


  Successively multiply the decimal number by 8.
• What are the steps in converting decimal to hexadecimal?


  Divide the decimal number by 16 until you cannot divide anymore.
• What should you do if you have a fractional part when converting a decimal to hexadecimal?


  Successively multiply the decimal number by 16.
• How do you convert octal to binary?


  Convert each octal digit into three binary digits.
• What is the process for converting a decimal number to a binary number?


  Successively divide the decimal number by 2.
• What is the process for converting a decimal number to an octal number?


  Successively divide the decimal number by 8.
• What is the process for converting a decimal number to a hexadecimal number?


  Successively divide the decimal number by 16.
• How do you convert a decimal number to binary?


  By successively dividing the decimal number by 2.
• How do you convert a decimal number to octal?


  By successively dividing the decimal number by 8.
• How do you convert a decimal number to hexadecimal?


  By successively dividing the decimal number by 16.
• What is the significance of the value 14 in hexadecimal conversion?

  It should be converted to its corresponding hexadecimal symbol.
• How do you read the answer when converting decimal to binary?


  You should read it upward.
• How do you read the answer when converting decimal to octal?


  You should read it upward.
• How do you read the answer when converting decimal to hexadecimal?


  You should read it upward.
• What is the process for converting a decimal number to binary?


  By successively dividing the decimal number by 2.
• What is the process for converting a decimal number to octal?


  By successively dividing the decimal number by 8.