7.5 KiB
| title | TARGET DECK | FILE TAGS | tags | ||
|---|---|---|---|---|---|
| Boolean Algebra | Obsidian::STEM | logic::boolean |
|
Overview
Boolean algebra refers to an algebraic system characterised by a set of axioms. This is something I'll explore further, probably after reading more on abstract algebra. The basic operations of Boolean algebra are negation (\neg), conjunction (\land), and disjunction (\lor).
%%ANKI
Basic
What name is given to \land operands?
Back: Conjuncts
Reference: Gries, David. The Science of Programming. Texts and Monographs in Computer Science. New York: Springer-Verlag, 1981.
END%%
%%ANKI
Basic
What set operation parallels conjunction?
Back: \cap
Reference: Gries, David. The Science of Programming. Texts and Monographs in Computer Science. New York: Springer-Verlag, 1981.
END%%
%%ANKI
Basic
What name is given to \lor operands?
Back: Disjuncts
Reference: Gries, David. The Science of Programming. Texts and Monographs in Computer Science. New York: Springer-Verlag, 1981.
END%%
%%ANKI
Basic
What set operation parallels disjunction?
Back: \cup
Reference: Gries, David. The Science of Programming. Texts and Monographs in Computer Science. New York: Springer-Verlag, 1981.
END%%
%%ANKI
Basic
What C logical operator corresponds to \neg?
Back: !
Reference: Gries, David. The Science of Programming. Texts and Monographs in Computer Science. New York: Springer-Verlag, 1981.
Tags: c17
END%%
%%ANKI
Basic
What C logical operator corresponds to \land?
Back: There isn't one.
Reference: Gries, David. The Science of Programming. Texts and Monographs in Computer Science. New York: Springer-Verlag, 1981.
Tags: c17
END%%
%%ANKI
Basic
What C logical operator corresponds to \lor?
Back: There isn't one.
Reference: Gries, David. The Science of Programming. Texts and Monographs in Computer Science. New York: Springer-Verlag, 1981.
Tags: c17
END%%
%%ANKI
Basic
What C logical operator corresponds to \Rightarrow?
Back: There isn't one.
Reference: Gries, David. The Science of Programming. Texts and Monographs in Computer Science. New York: Springer-Verlag, 1981.
Tags: c17
END%%
%%ANKI
Basic
What C logical operator corresponds to \Leftrightarrow?
Back: ==
Reference: Gries, David. The Science of Programming. Texts and Monographs in Computer Science. New York: Springer-Verlag, 1981.
Tags: c17
END%%
%%ANKI
Basic
What C bit-level operator corresponds to \neg?
Back: ~
Reference: Bryant, Randal E., and David O'Hallaron. Computer Systems: A Programmer's Perspective. Third edition, Global edition. Always Learning. Pearson, 2016.
Tags: binary c
END%%
%%ANKI
Basic
What C bit-level operator corresponds to \land?
Back: &
Reference: Bryant, Randal E., and David O'Hallaron. Computer Systems: A Programmer's Perspective. Third edition, Global edition. Always Learning. Pearson, 2016.
Tags: binary c
END%%
%%ANKI
Basic
What C bit-level operator corresponds to \lor?
Back: |
Reference: Bryant, Randal E., and David O'Hallaron. Computer Systems: A Programmer's Perspective. Third edition, Global edition. Always Learning. Pearson, 2016.
Tags: binary c
END%%
%%ANKI
Basic
What C bit-level operator corresponds to \oplus?
Back: ^
Reference: Bryant, Randal E., and David O'Hallaron. Computer Systems: A Programmer's Perspective. Third edition, Global edition. Always Learning. Pearson, 2016.
Tags: binary c
END%%
%%ANKI
Basic
What is the value of ~0b00001111?
Back: 0b11110000
Reference: Bryant, Randal E., and David O'Hallaron. Computer Systems: A Programmer's Perspective. Third edition, Global edition. Always Learning. Pearson, 2016.
Tags: binary c
END%%
%%ANKI
Basic
What is the value of 0b00001111 & 0b11111111?
Back: 0b00001111
Reference: Bryant, Randal E., and David O'Hallaron. Computer Systems: A Programmer's Perspective. Third edition, Global edition. Always Learning. Pearson, 2016.
Tags: binary c
END%%
%%ANKI
Basic
What is the value of 0b00001111 | 0b11111111? Back: 0b11111111`
Reference: Bryant, Randal E., and David O'Hallaron. Computer Systems: A Programmer's Perspective. Third edition, Global edition. Always Learning. Pearson, 2016.
Tags: binary c
END%%
%%ANKI
Basic
What is the value of 0b00001111 ^ 0b11111111?
Back: 0b11110000
Reference: Bryant, Randal E., and David O'Hallaron. Computer Systems: A Programmer's Perspective. Third edition, Global edition. Always Learning. Pearson, 2016.
Tags: binary c
END%%
%%ANKI
Basic
How do bit vectors represent finite sets?
Back: A 1 bit-value indicates membership at the given index.
Reference: Bryant, Randal E., and David O'Hallaron. Computer Systems: A Programmer's Perspective. Third edition, Global edition. Always Learning. Pearson, 2016.
Tags: binary
END%%
%%ANKI
Basic
What C bit-level operator corresponds to set complement?
Back: ~
Reference: Bryant, Randal E., and David O'Hallaron. Computer Systems: A Programmer's Perspective. Third edition, Global edition. Always Learning. Pearson, 2016.
Tags: binary c set
END%%
%%ANKI
Basic
What C bit-level operator corresponds to \cup?
Back: |
Reference: Bryant, Randal E., and David O'Hallaron. Computer Systems: A Programmer's Perspective. Third edition, Global edition. Always Learning. Pearson, 2016.
Tags: binary c set
END%%
%%ANKI
Basic
What C bit-level operator corresponds to \cap?
Back: &
Reference: Bryant, Randal E., and David O'Hallaron. Computer Systems: A Programmer's Perspective. Third edition, Global edition. Always Learning. Pearson, 2016.
Tags: binary c set
END%%
%%ANKI Basic What is a bit mask? Back: A bit pattern that selects certain bits of a data type. Reference: Bryant, Randal E., and David O'Hallaron. Computer Systems: A Programmer's Perspective. Third edition, Global edition. Always Learning. Pearson, 2016.
END%%
%%ANKI
Basic
What hexadecimal bit mask returns the least significant byte of a word?
Back: 0xFF
Reference: Bryant, Randal E., and David O'Hallaron. Computer Systems: A Programmer's Perspective. Third edition, Global edition. Always Learning. Pearson, 2016.
END%%
%%ANKI
Basic
What portable expression yields a mask of all ones, regardless of data type?
Back: ~0
Reference: Bryant, Randal E., and David O'Hallaron. Computer Systems: A Programmer's Perspective. Third edition, Global edition. Always Learning. Pearson, 2016.
END%%
%%ANKI
Basic
Why might you prefer ~0 over e.g. 0xFFFFFFFF?
Back: The former is independent of data type.
Reference: Bryant, Randal E., and David O'Hallaron. Computer Systems: A Programmer's Perspective. Third edition, Global edition. Always Learning. Pearson, 2016.
END%%
%%ANKI
Basic
Given int32_t x = 0x89ABCDEF, what is the value of x & 0xFF?
Back: 0x000000EF
Reference: Bryant, Randal E., and David O'Hallaron. Computer Systems: A Programmer's Perspective. Third edition, Global edition. Always Learning. Pearson, 2016.
END%%
References
- Bryant, Randal E., and David O'Hallaron. Computer Systems: A Programmer's Perspective. Third edition, Global edition. Always Learning. Pearson, 2016.