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notebook/notes/binary/hexadecimal.md

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title TARGET DECK FILE TAGS tags
Hexadecimal Obsidian::STEM binary::hex
binary
hexadecimal

Overview

Hexadecimal encoding refers to the 16-base representation of binary numbers. Distinguish potentially ambiguous values like 32 with the base as a subscript, e.g. 32_{10} vs 32_{16}.

%%ANKI Cloze A byte consists of {8} bits. Reference: Bryant, Randal E., and David O'Hallaron. Computer Systems: A Programmer's Perspective. Third edition, Global edition. Always Learning. Pearson, 2016.

END%%

%%ANKI Cloze A byte consists of {2} nibbles. Reference: Bryant, Randal E., and David O'Hallaron. Computer Systems: A Programmer's Perspective. Third edition, Global edition. Always Learning. Pearson, 2016.

END%%

%%ANKI Cloze A nibble consists of {4} bits. Reference: Bryant, Randal E., and David O'Hallaron. Computer Systems: A Programmer's Perspective. Third edition, Global edition. Always Learning. Pearson, 2016.

END%%

%%ANKI Cloze A byte consists of {2} hexadecimal digits. Reference: Bryant, Randal E., and David O'Hallaron. Computer Systems: A Programmer's Perspective. Third edition, Global edition. Always Learning. Pearson, 2016.

END%%

%%ANKI A nibble consists of {1} hexadecimal digits. 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 Hexadecimal digits are represented by what characters? Back: a to f, A to F, and 0 to 9. 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 How does C denote a hexadecimal numeric constant? Back: With 0x or 0X. 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 is the decimal equivalent of hex A, C, and F? Back: 10, 12, and 15 respectively. 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 is the hexadecimal equivalent of decimal 11, 12, and 14? Back: B, C, and E respectively. 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 When should padding be introduced on converting binary to hexadecimal? Back: When the number of bits is not a multiple of 4. 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 Where is padding introduced on binary to hexadecimal conversion? Back: To the left of the binary sequence. 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 How is 2^n written in binary? Back: As 1 followed by n zeros. 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 How is 2^n written using bitwise shift operators? Back: 1 << n Reference: Bryant, Randal E., and David O'Hallaron. Computer Systems: A Programmer's Perspective. Third edition, Global edition. Always Learning. Pearson, 2016. Tag: c

END%%

%%ANKI Basic What decimal value does 1 << n translate to? Back: 2^n Reference: Bryant, Randal E., and David O'Hallaron. Computer Systems: A Programmer's Perspective. Third edition, Global edition. Always Learning. Pearson, 2016. Tag: c

END%%

%%ANKI Basic What are the possible hex values the first digit of 2^n can take on? Back: 1, 2, 4, and 8. 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 are the possible values the first nibble of 2^n can take on? Back: 0001, 0010, 0100, and 1000. 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 How is j interpreted in the hex representation of 2^{i + 4j}? As the number of 0s in the encoding. 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 How is the 0 in 2^{0 + 4j} translated to hex? Back: As hex digit 1. 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 How is the 1 in 2^{1 + 4j} translated to hex? Back: As hex digit 2. 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 How is the 2 (power) in 2^{2 + 4j} translated to hex? Back: As hex digit 4. 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 How is the 3 in 2^{3 + 4j} translated to hex? Back: As hex digit 8. 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 How is n in 2^n factored to quickly write the decimal value's hex representation? Back: n = i + 4j where 0 \leq i \leq 3. 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 process is used to convert from e.g. decimal to another base? Back: Divide repeatedly by the base. Maintain remainders right to left. 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 does converting from e.g. decimal to another base involve repeated division? Back: The position of a digit corresponds to the base raised to the position. 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 How is the remainder of e.g. 158 / 16 managed in decimal to hex conversion? Back: As the next least significant bit of our conversion. 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 How is the quotient of e.g. 158 / 16 managed in decimal to hex conversion? Back: As the next value to divide by 16. 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 How is e.g. 0xAC32 expressed as a sum of decimal values? Back: (16^3 \times 10) + (16^2 \times 12) + (16^1 \times 3) + (16^0 \times 2) 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.