[video member=miotatsu stream_platform=twitch project=book title="2.4" vod_platform=youtube id=dzZl1zpp8XA annotator=Miblo] [0:12][Shout-out to [@microcode Wasim] with a note on the stream organisation][:speech] [2:55][Plug the new RISCY BUSINESS and Book Club Early Access site[ref site="RISCY BUSINESS and Book Club \[Early Access\]" url=https://guide.riscy.tv/]] [7:03][Thoughts on LTR vs RTL languages][:language :speech] [9:25][[@microcode Wasim]'s perspective on numbers in RTL languages][:language :authored] [11:49][Set up to dive into Chapter 2.4, noting the two's complement adder we described on [~riscy RISCY BUSINESS][ref site="RISCY BUSINESS Annotated Episode Guide" page="two's complement" url=https://riscy.handmade.network/episode/riscy#two's%20complement]] [17:43][Chapter 2.4 Signed and Unsigned Numbers[ref title="Computer Organization and Design RISC-V Edition" author="David Patterson & John Hennessy" publisher="Morgan Kaufmann" isbn=9780128122754 url=https://www.elsevier.com/books/computer-organization-and-design-risc-v-edition/patterson/978-0-12-812275-4]] [19:20][Information theory and the "bit" as the fundamental unit of data][:speech] [20:57][Chapter 2.4 continued[ref title="Computer Organization and Design RISC-V Edition" author="David Patterson & John Hennessy" publisher="Morgan Kaufmann" isbn=9780128122754 url=https://www.elsevier.com/books/computer-organization-and-design-risc-v-edition/patterson/978-0-12-812275-4]] [21:25][Numerical base][:blackboard :mathematics] [29:30][Plug pcalc, in-development but already available to backers at $5 or more][:speech] [30:35][Understanding bases of unsigned numbers][:blackboard :mathematics] [32:51][Chapter 2.4 continued[ref title="Computer Organization and Design RISC-V Edition" author="David Patterson & John Hennessy" publisher="Morgan Kaufmann" isbn=9780128122754 url=https://www.elsevier.com/books/computer-organization-and-design-risc-v-edition/patterson/978-0-12-812275-4]] [37:33][Bytes split into nibbles][:blackboard] [44:25][Why 64-bits? Because that's the register width of the HiFive Unleashed][:blackboard] [49:06][Chapter 2.4 continued, including bit significance and the RISC-V doubleword bit length[ref title="Computer Organization and Design RISC-V Edition" author="David Patterson & John Hennessy" publisher="Morgan Kaufmann" isbn=9780128122754 url=https://www.elsevier.com/books/computer-organization-and-design-risc-v-edition/patterson/978-0-12-812275-4]][:mathematics] [52:28][Understanding sums of powers][:blackboard :mathematics] [57:11][Chapter 2.4 continued, 64-bit unsigned number representations[ref title="Computer Organization and Design RISC-V Edition" author="David Patterson & John Hennessy" publisher="Morgan Kaufmann" isbn=9780128122754 url=https://www.elsevier.com/books/computer-organization-and-design-risc-v-edition/patterson/978-0-12-812275-4]][:mathematics] [57:53][Tip of the day: Counting binary numbers on your hand][:mathematics :speech] [1:03:21][Chapter 2.4 continued, 64-bit unsigned number representations[ref title="Computer Organization and Design RISC-V Edition" author="David Patterson & John Hennessy" publisher="Morgan Kaufmann" isbn=9780128122754 url=https://www.elsevier.com/books/computer-organization-and-design-risc-v-edition/patterson/978-0-12-812275-4]][:mathematics] [1:05:20][Representing negative numbers][:blackboard :mathematics] [1:07:10][Chapter 2.4 continued, 64-bit unsigned number representations[ref title="Computer Organization and Design RISC-V Edition" author="David Patterson & John Hennessy" publisher="Morgan Kaufmann" isbn=9780128122754 url=https://www.elsevier.com/books/computer-organization-and-design-risc-v-edition/patterson/978-0-12-812275-4]][:mathematics] [1:07:53][Chapter 2.4 :Hardware / Software Interface[ref title="Computer Organization and Design RISC-V Edition" author="David Patterson & John Hennessy" publisher="Morgan Kaufmann" isbn=9780128122754 url=https://www.elsevier.com/books/computer-organization-and-design-risc-v-edition/patterson/978-0-12-812275-4]][:mathematics] [1:08:08]["Natural" bases in human history][:mathematics :speech] [1:11:31][Chapter 2.4 :Hardware / Software Interface, continued[ref title="Computer Organization and Design RISC-V Edition" author="David Patterson & John Hennessy" publisher="Morgan Kaufmann" isbn=9780128122754 url=https://www.elsevier.com/books/computer-organization-and-design-risc-v-edition/patterson/978-0-12-812275-4]][:mathematics] [1:11:39][Tidbit: Various bases in computer history][:mathematics :speech] [1:13:02][Chapter 2.4 :Hardware / Software Interface, continued[ref title="Computer Organization and Design RISC-V Edition" author="David Patterson & John Hennessy" publisher="Morgan Kaufmann" isbn=9780128122754 url=https://www.elsevier.com/books/computer-organization-and-design-risc-v-edition/patterson/978-0-12-812275-4]][:mathematics] [1:14:19][On the physical constraints of computers in terms of their numerical representation][:mathematics :speech] [1:18:54][Chapter 2.4 continued, on overflow[ref title="Computer Organization and Design RISC-V Edition" author="David Patterson & John Hennessy" publisher="Morgan Kaufmann" isbn=9780128122754 url=https://www.elsevier.com/books/computer-organization-and-design-risc-v-edition/patterson/978-0-12-812275-4]][:mathematics] [1:19:21][Thoughts on overflow / underflow, and programming for machines][:speech] [1:22:00][Chapter 2.4 continued, on sign and magnitude[ref title="Computer Organization and Design RISC-V Edition" author="David Patterson & John Hennessy" publisher="Morgan Kaufmann" isbn=9780128122754 url=https://www.elsevier.com/books/computer-organization-and-design-risc-v-edition/patterson/978-0-12-812275-4]][:mathematics] [1:22:26][Two's complement as a way to represent both positive and negative numbers on the same :hardware[ref site="RISCY BUSINESS Annotated Episode Guide" page="two's complement" url=https://riscy.handmade.network/episode/riscy#two's%20complement]][:mathematics :speech] [1:23:58][Chapter 2.4 continued, shortcomings of sign and magnitude[ref title="Computer Organization and Design RISC-V Edition" author="David Patterson & John Hennessy" publisher="Morgan Kaufmann" isbn=9780128122754 url=https://www.elsevier.com/books/computer-organization-and-design-risc-v-edition/patterson/978-0-12-812275-4]][:mathematics] [1:25:23][Positive and negative 0][:blackboard :mathematics] [1:28:14][Chapter 2.4 continued, two's complement[ref title="Computer Organization and Design RISC-V Edition" author="David Patterson & John Hennessy" publisher="Morgan Kaufmann" isbn=9780128122754 url=https://www.elsevier.com/books/computer-organization-and-design-risc-v-edition/patterson/978-0-12-812275-4]][:mathematics] [1:34:10][Understanding negative numbers in two's complement, by counting with 0s][:mathematics :speech] [1:39:00][Chapter 2.4 continued, positive and negative numbers in two's complement[ref title="Computer Organization and Design RISC-V Edition" author="David Patterson & John Hennessy" publisher="Morgan Kaufmann" isbn=9780128122754 url=https://www.elsevier.com/books/computer-organization-and-design-risc-v-edition/patterson/978-0-12-812275-4]][:mathematics] [1:43:54][On two's complement being good for :hardware designers[ref site="RISCY BUSINESS Annotated Episode Guide" page="Ripple Carry Adders & Two's Complement" url=https://riscy.handmade.network/episode/riscy/riscy012/#596]][:mathematics :speech] [1:46:56][Chapter 2.4 continued, two's complement[ref title="Computer Organization and Design RISC-V Edition" author="David Patterson & John Hennessy" publisher="Morgan Kaufmann" isbn=9780128122754 url=https://www.elsevier.com/books/computer-organization-and-design-risc-v-edition/patterson/978-0-12-812275-4]][:mathematics] [1:47:30][Efficient sign-checking in two's complement][:mathematics :speech] [1:50:11][Chapter 2.4 continued, two's complement[ref title="Computer Organization and Design RISC-V Edition" author="David Patterson & John Hennessy" publisher="Morgan Kaufmann" isbn=9780128122754 url=https://www.elsevier.com/books/computer-organization-and-design-risc-v-edition/patterson/978-0-12-812275-4]][:mathematics] [1:52:35][Chapter 2.4 Example 1 - Binary to Decimal Conversion[ref title="Computer Organization and Design RISC-V Edition" author="David Patterson & John Hennessy" publisher="Morgan Kaufmann" isbn=9780128122754 url=https://www.elsevier.com/books/computer-organization-and-design-risc-v-edition/patterson/978-0-12-812275-4]][:mathematics] [1:59:30][End it here with a glimpse into the next episode, thoughts on it all tying in to [~riscy RISCY BUSINESS] and thanks for all the support][:mathematics :speech] [/video]