AS Computer Science ASCC3F31 - F Progress Check 2

1.     A university consists of a number of departments. Each department offers several courses. A number of modules make up each course. Students enroll on a particular course and take modules for that course.

Select the entity relationship diagram to represent this situation.

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Give the simplest Boolean Expression for each truth table.

• C=A AND NOT B

• A = C NOT NOT B

• C = A NOT AND B

• C = B AND NOT A

1.     Give the simplest Boolean Expression for each truth table.

• P = NOT ( P OR Q ) or R = NOT P AND NOT R

• R = ( P AND Q ) or R = NOT P AND NOT Q

• R = NOT ( P OR Q ) or R = NOT P AND NOT Q

• Q = NOT ( P OR Q ) or R = NOT P AND NOT Q

• Z = NOT (X OR Y)

• a.       Z = NOT (X NOT Y)

• Z = AND (X XOR Y)

• Z = NOT (X XOR Y)

Different primitive data types are used in computer systems.

Using the denary example 108₁₀ calculate the minimum storage requirements for an integer data type within a range of 0₁₀ to 127₁₀.

Mathematical Equivalence

ON

Convert 31₁₆ into binary

Mathematical Equivalence

OFF

Convert 6D₁₆ into binary

Mathematical Equivalence

ON

Add together
 00110001₂

 01101101₂

Mathematical Equivalence

ON

In a certain computer system, real numbers are stored in floating point form using two’s complementation, a 12-bit mantissa and a 4 bit exponent. Convert the number 16.125₁₀ into this floating-point form.

Mathematical Equivalence

ON

a.     In a certain computer system, real numbers are stored in floating point form using two’s complementation, an 8-bit mantissa and a 4-bit exponent.

 

The following is a floating-point representation of a real number.

 

Mantissa Exponent

0. 0. 1 1 0 1 0 0 0 0 0 1 1

 

Calculate the denary value of the mantissa and exponent and convert this floating-point number into a denary number.

Mathematical Equivalence

OFF