Mathematics for Computing

This unit is expiring
The expiry date of this unit is 31/07/2024.

Overview

Framework:
Access to HE
Level:
Level 3
Unit No:
QU026125
Credits:
3
Guided learning hours:
Not available

Qualification Grading Type

Graded

Grade Descriptors

  • GD3-Application of skills
  • GD7-Quality

Unit Learning Outcomes

1

Know how to represent denary integers in different formats.

Assessment Criteria

  • 1.1

    Convert denary numbers into Binary Coded Decimal format and vice versa.

  • 1.2

    Convert denary numbers into hexadecimal and vice versa.

  • 1.3

    Convert integer into Sign and Magnitude format and store them as 8-bit or 16-bit numbers.

  • 1.4

    Convert integers into One’s Complement and Two’s Complement format.

  • 1.5

    Determine whether an overflow occurs for a given format.

2

Know how to perform arithmetic on integers in binary.

Assessment Criteria

  • 2.1

    Perform simple arithmetic operations using:

    (a) binary addition of unsigned integers

    (b) binary subtraction of unsigned integers

    (c) binary multiplication of unsigned integers

    (d) binary division of unsigned integers

    (e) binary addition of signed integers

    (f) binary subtraction of signed integers.

  • 2.2.

    Explain the effect of word length on the allowable numbers on unsigned and signed formats.

  • 2.3

    Explain what the ASCII representation of data is.

  • 2.4

    Explain how to convert Hex to ASCII code.

3

Know how to represent integers and numbers with fractional parts in different formats.

Assessment Criteria

  • 3.1

    Convert into binary and vice versa:

    • simple fractions
    • decimals.
  • 3.2

    Use floating point notation to store a decimal number as a 16-bit number.

  • 3.3

    Calculate the degree of accuracy given:


    • a 1-bit sign
    • 10-bit mantissa
    • a 5-bit exponent.
  • 3.4

    Describe the limitations of representing real numbers in a computer system and how errors occur.