Boolean logic & arithmetic

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Name: _____________________ K: ____/20 I: ____/15 C: ____/10 A: ____/10
MHF4U
Criteria
Boolean logic & arithmetic
Level 1
K Binary number system
(5)
Student shows knowledge of
basics of binary number system
K Bitwise operations
(5)
Level 2
Student shows knowledge of use
of binary number system
Level 3
Level 4
Student shows knowledge of
binary number system, making
link to decimal number system
Student shows knowledge of
binary number system, making
link to decimal number system
and other number systems
Student shows basic knowledge of Student shows knowledge of
bitwise operators
bitwise operators
Student shows knowledge of
bitwise operators, illustrating
with examples
Student shows complete
knowledge of all bitwise
operators, illustrating with
examples
K Addition of binary numbers
(5)
Student shows basic knowledge of Student explains how to add
addition of binary numbers
binary numbers
Student explains how to add
Student provides complete
binary numbers, illustrating with explanation of adding binary
examples
numbers, including calculation of
carries.
K Negation and subtraction of
(5) binary numbers
Student shows basic knowledge of Student explains how to subtract
negation and subtraction of
and negate binary numbers
binary numbers
Student explains how to subtract
binary numbers as adding a
negative, illustrating with
examples
Student explains how to subtract
binary numbers as adding a
negative, and discusses different
representations of negative
numbers
I Multiplication of binary
(5) numbers
Multiplication of binary numbers
is explained, with errors
Multiplication of binary numbers
is explained with examples.
Algorithms for multiplication are
give, and a link is made to the
decimal number system.
I Other mathematical
(5) operations
One or two other mathematical Other mathematical operations on Other mathematical operations on Several other mathematical
operations on binary numbers are binary numbers are described
binary numbers are described
operations on binary numbers
mentioned
briefly
with examples
are described with examples, and
compared and contrasted with
decimal number system.
I Research
(5)
An attempt at a bibliography is
included.
Citations are not used, although a Citations and a properly
properly formatted bibliography formatted bibliography are
is included.
included.
Citations and a properly
formatted bibliography of
reliable sources are included.
C Spelling, vocabulary, and
(5) grammar
Spelling, vocabulary, and
grammar have many errors.
Spelling, vocabulary, and
grammar have some errors.
Spelling, vocabulary, and
grammar are generally correct.
Spelling, vocabulary, and
grammar are consistently correct
and polished.
C Mathematical communication Mathematical communication
(5) (symbols, graphs, diagrams, conventions have many errors.
notation, etc.)
Mathematical communication
conventions have some mistakes.
Mathematical communication
Mathematical communication
conventions are generally correct. conventions are consistently
correct.
A Compound operations
(5)
Compound operations and order
of operations are mentioned
Compound operations and order
of operations are described
Compound operations and order Compound operations and order
of operations are described clearly of operations are described
with examples
clearly with examples, including
simplifications such as
DeMorgan's rules
A Implementation
(5)
Little connection is made to
digital electronics
Link is made between modern
digital electronics and Boolean
arithmetic
Clear link is made between
modern digital electronics and
Boolean arithmetic
Multiplication of binary numbers
is explained
Clear link is made between
modern digital electronics and
Boolean arithmetic, with
examples of circuits.
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