Binary

• What is a bit


  A single binary digit (1 or 0)
• What is a byte


  A groups of 8 bits
• How many different values can be represented with 'n' bits


  2^n different values
• what is 2^10


  1 Kibibyte (Ki)
• what is 2^20


  1 Mebibyte (Mi)
• what is 2^30


  1 Gibibyte (Gi)
• what is 2^40


  1 Tebibyte (Ti)
• what is unsigned binary


  Binary that represents positive numbers only
• What is the minimum value for 'n' bits in unsigned binary


  0
• what is the maximum value for 'n' bits in unsigned binary


  (2^n)-1
• How do you add two unsigned binary integers (4)


  • 0+0 = 0
  • 0+1 = 1
  • 1+1 = 10 (0 carry 1)
  • 1+1+1 = 11 (1 carry 1)
• How do you multiply two unsigned binary integers (3)


  • 0 x 1 = 0
  • 0 x 0 = 0
  • 1 x 1 = 1
• What is signed binary

  binary that represents both positive and negative numbers
• explain decimal-to-binary conversion using two's complement (3)


  • write out binary equivalent of positive decmial value
  • Starting from the right-most bit, rewrite the binary value until you come to the first '1'
  • Flip the rest of the bits
• Explain how to subtract two binary numbers using two's complement (2)


  • convert the number to be subtracted -ve using two's complement
  • Add the negative number
• What is the minimum value of 'n' bits in two's complement


  -(2^n-1)
• What is the maximum value of 'n' bits in two's complement


  (2^n-1)-1
• What are fixed point numbers

  Where the decimal/binary point is fixed within a number
• Explain how to do fixed point binary to decimal conversion (2)


  • Add up the denary values of the corresponding 1s
  • The denary value after the decimal point are fractions
• How is the range and accuracy of numbers affected when the binary point is moved to the left


  • We have more accurate fractional numbers, but less range of whole numbers
• How is the range and accuracy of numbers affected when the binary point is moved to the right


  • We have more range of whole numbers, but less accurate fractional numbers