2.4 cont.
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0:00Welcome to the stream
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0:00Welcome to the stream
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0:00Welcome to the stream
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0:22Set up to clarify the explanation of two's complement from last time, with a mention of Plato's Theory of Forms1
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0:22Set up to clarify the explanation of two's complement from last time, with a mention of Plato's Theory of Forms1
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0:22Set up to clarify the explanation of two's complement from last time, with a mention of Plato's Theory of Forms1
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4:14Representations of negative numbers
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4:14Representations of negative numbers
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4:14Representations of negative numbers
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7:17Mapping an entire signed nibble between -8 and 7 to the range 0–F
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7:17Mapping an entire signed nibble between -8 and 7 to the range 0–F
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7:17Mapping an entire signed nibble between -8 and 7 to the range 0–F
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12:59Assigning the high bit of each value to be the sign bit
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12:59Assigning the high bit of each value to be the sign bit
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12:59Assigning the high bit of each value to be the sign bit
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17:37Assigning the low bit of each value to be the sign bit (interleaved positive and negative)
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17:37Assigning the low bit of each value to be the sign bit (interleaved positive and negative)
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17:37Assigning the low bit of each value to be the sign bit (interleaved positive and negative)
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21:26Two's complement, as a shifted mapping from -8 to 7, i.e. from 0 to 7, then -8 to -1
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21:26Two's complement, as a shifted mapping from -8 to 7, i.e. from 0 to 7, then -8 to -1
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21:26Two's complement, as a shifted mapping from -8 to 7, i.e. from 0 to 7, then -8 to -1
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25:57Ones' complement, as a perfectly mirrored representation
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25:57Ones' complement, as a perfectly mirrored representation
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25:57Ones' complement, as a perfectly mirrored representation
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29:01Intuitively understanding two's complement by flipping and adjusting by one
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29:01Intuitively understanding two's complement by flipping and adjusting by one
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29:01Intuitively understanding two's complement by flipping and adjusting by one
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36:47Performing subtraction with a regular adder
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36:47Performing subtraction with a regular adder
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36:47Performing subtraction with a regular adder
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39:24Shout-out to bitwise Day 50 on two's complement and ripple carry adders2
39:24Shout-out to bitwise Day 50 on two's complement and ripple carry adders2
39:24Shout-out to bitwise Day 50 on two's complement and ripple carry adders2
43:09Counting binary representations of negative numbers in two's complement with zeroes
43:09Counting binary representations of negative numbers in two's complement with zeroes
43:09Counting binary representations of negative numbers in two's complement with zeroes
47:50Chapter 2.4 Hardware / Software Interface, signed loads3
47:50Chapter 2.4 Hardware / Software Interface, signed loads3
47:50Chapter 2.4 Hardware / Software Interface, signed loads3
50:16Chapter 2.4 Hardware / Software Interface, memory addresses starting at 04
50:16Chapter 2.4 Hardware / Software Interface, memory addresses starting at 04
50:16Chapter 2.4 Hardware / Software Interface, memory addresses starting at 04
52:06Chapter 2.4 Hardware / Software Interface, continued5
52:06Chapter 2.4 Hardware / Software Interface, continued5
52:06Chapter 2.4 Hardware / Software Interface, continued5
54:03Chapter 2.4 Example 2 - Negation Shortcut6
54:03Chapter 2.4 Example 2 - Negation Shortcut6
54:03Chapter 2.4 Example 2 - Negation Shortcut6
55:06Negation by flipping the bits and adding one
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55:06Negation by flipping the bits and adding one
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55:06Negation by flipping the bits and adding one
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56:24Compare our answer to Chapter 2.4 Example 2 with the book7
56:24Compare our answer to Chapter 2.4 Example 2 with the book7
56:24Compare our answer to Chapter 2.4 Example 2 with the book7
57:18Chapter 2.4 Example 3 - Sign Extension Shortcut8
57:18Chapter 2.4 Example 3 - Sign Extension Shortcut8
57:18Chapter 2.4 Example 3 - Sign Extension Shortcut8
58:00Sign extend 2 and -2 from 4-bits to 8-bits
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58:00Sign extend 2 and -2 from 4-bits to 8-bits
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58:00Sign extend 2 and -2 from 4-bits to 8-bits
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59:43Compare our answer to Chapter 2.4 Example 3 with the book9
59:43Compare our answer to Chapter 2.4 Example 3 with the book9
59:43Compare our answer to Chapter 2.4 Example 3 with the book9
1:02:20Chapter 2.4 Summary10
1:02:20Chapter 2.4 Summary10
1:02:20Chapter 2.4 Summary10
1:02:44Chapter 2.4 Elaboration, on the unanimity of two's complement for representations of both negative and positive numbers11
1:02:44Chapter 2.4 Elaboration, on the unanimity of two's complement for representations of both negative and positive numbers11
1:02:44Chapter 2.4 Elaboration, on the unanimity of two's complement for representations of both negative and positive numbers11
1:03:09Chapter 2.4 Check Yourself12
1:03:09Chapter 2.4 Check Yourself12
1:03:09Chapter 2.4 Check Yourself12
1:04:25Chapter 2.4 Check Yourself Answers13
1:04:25Chapter 2.4 Check Yourself Answers13
1:04:25Chapter 2.4 Check Yourself Answers13
1:04:46Chapter 2.4 Elaboration, on the etymology of "two's complement"14
1:04:46Chapter 2.4 Elaboration, on the etymology of "two's complement"14
1:04:46Chapter 2.4 Elaboration, on the etymology of "two's complement"14
1:05:44Chapter 2.4 continued, on ones' complement15
1:05:44Chapter 2.4 continued, on ones' complement15
1:05:44Chapter 2.4 continued, on ones' complement15
1:07:42Biased notation
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1:07:42Biased notation
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1:07:42Biased notation
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1:08:31Chapter 2.4 continued, on biased notation16
1:08:31Chapter 2.4 continued, on biased notation16
1:08:31Chapter 2.4 continued, on biased notation16
1:09:09Chapter 2.4, one's complement17
1:09:09Chapter 2.4, one's complement17
1:09:09Chapter 2.4, one's complement17
1:09:50Chapter 2.4, biased notation18
1:09:50Chapter 2.4, biased notation18
1:09:50Chapter 2.4, biased notation18
1:10:15Look forward to learning how biased notation ties in to floating point
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1:10:15Look forward to learning how biased notation ties in to floating point
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1:10:15Look forward to learning how biased notation ties in to floating point
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1:11:55That's the end of Chapter 2.4
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1:11:55That's the end of Chapter 2.4
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1:11:55That's the end of Chapter 2.4
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1:12:44Determine to do a series of short, prepared educational videos on integers and adders
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1:12:44Determine to do a series of short, prepared educational videos on integers and adders
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1:12:44Determine to do a series of short, prepared educational videos on integers and adders
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1:22:28Thank you for tuning in and to everyone who supports the series
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1:22:28Thank you for tuning in and to everyone who supports the series
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1:22:28Thank you for tuning in and to everyone who supports the series
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