Higher Computer Systems

State which of the following denary numbers is represented as 10010111 using two's complement.

• -105

• 151

• -151

• 105

State which of the following denary numbers is represented as 11100110 using two's complement.

• -26

• 26

• 230

• -230

State which of the following 8-bit two's complement numbers represent the denary number -100.

• 10011100

• 00011100

• 01100100

• 11100100

State which of the following 8-bit two's complement numbers represent the denary number 60.

• 00111100

• 10111100

• 01100100

• 00111110

State the range of numbers that can be represented using 6 bit two's complement.

• -32 to 31

• -31 to 32

• -16 to 15

• -15 to 16

State the range of numbers that can be represented using 10 bit two's complement.

• -512 to 511

• -511 to 512

• -1024 to 1023

• -1023 to 1024

A floating point representation is assigned 16 bits. The mantissa is assigned 12 bits and the exponent is assigned 4 bits. State which of the following answers correctly represent -0.1101 x 2^101

• Sign: 1

  Mantissa: 11010000000

  Exponent: 0101

• Sign: 1

  Mantissa: 00000001101

  Exponent: 0101

• Sign: 0

  Mantissa: 11010000000

  Exponent: 0101

• Sign: 1

  Mantissa: 110100000000

  Exponent: 0101

A floating point representation is assigned 8 bits. The mantissa is assigned 4 bits and the exponent is assigned 4 bits. State which of the following answers correctly represent 0.0000110

• Sign: 0

  Mantissa: 110

  Exponent: 1100

• Sign: 1

  Mantissa: 110

  Exponent: 1100

• Sign: 0

  Mantissa: 110

  Exponent: 0100

• Sign: 1

  Mantissa: 110

  Exponent: 0100

State which statement describes the effect of changing the number of bits assigned to the mantissa.

• Increase the number of bits: Precision increases

  Decrease the number of bits: Precision decreases

• Increase the number of bits: Precision decreases

  Decrease the number of bits: Precision increases

• Increase the number of bits: Range increases

  Decrease the number of bits: Range decreases

• Increase the number of bits: Range decreases

  Decrease the number of bits: Range increases

State which statement describes the effect of changing the number of bits assigned to the exponent.

• Increase the number of bits: Precision increases

  Decrease the number of bits: Precision decreases

• Increase the number of bits: Precision decreases

  Decrease the number of bits: Precision increases

• Increase the number of bits: Range increases

  Decrease the number of bits: Range decreases

• Increase the number of bits: Range decreases

  Decrease the number of bits: Range increases