From 19ddc6805978a5d5cf61c2c8761a068b51c5e143 Mon Sep 17 00:00:00 2001 From: EdmanCoding <164445630+EdmanCoding@users.noreply.github.com> Date: Thu, 15 May 2025 08:45:48 +0900 Subject: [PATCH 1/5] Update chapter-05 exercise 33 Each iteration of the loop x3002 - x3008 R6 doubles beginning from 0000 0000 0000 0001 (next iteration - 0000 0000 0000 0001 + 0000 0000 0000 0001 = 0000 0000 0000 0010, then 0000 0000 0000 0100 and so on). Also each iteration of the loop x3002 - x3008 R0 incremented beginning from x0000. Branch in x3003 will start jump when R6 = 0000 0000 0010 0000 because at the end of the program R0 = 5. This mean that R5 = 0000 0000 0001 1111 because only in this condition the result of R5 AND R6 can be 0000 0000 0000 0000 when R0=5. Following doubles of R6 in x3005 (0000 0000 0100 0000, 0000 0000 1000 0000...) won't influent the result of R5 AND R6, it still will be 0. So in this case x3004 wouldn't be executed and R0 would stop increment at R0 = 5. --- solutions/chapter-05.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/solutions/chapter-05.md b/solutions/chapter-05.md index fe8823a..63befd6 100644 --- a/solutions/chapter-05.md +++ b/solutions/chapter-05.md @@ -136,7 +136,7 @@ 5. ADD R0 -1 6. RESULT: N=1, Z=0, P=0 --- -33. R5 is 1. +33. R5 is 0000 0000 0001 1111. --- 34. 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z?#wx&$@b(;f_eYI>J%a{SyYeN`EU$C1B1s;UIH5(uu{mNj!u3I=)|j0BmvHy?i}Eo z5jd7VDINO`T*M~w)_b-4w^Ufgg*!h;R&*+kf3sWT@I7rU{B0R!Wn=eSWI@NOW>O4Ippb+c^Kp&`Z0OxJpx@x`-wHeS8eB85j8fjZbtt7`+v&tqtN zXy40AZ~JRe9_bz4$Ev-q@+BK9alg1*c_L0Fzi2r|&tOyx*7?1*ASgetUB^=k^?z+z z=>o2l?(1p(kpY3;^{Y?wFg)6PhWW7mqy9%VGTzooz}dUie~neI*&8O?gwMa&pE^>(lG{n{TLxO4LB!sEQxEtlknX{>yCT-E>B#E)@Y_qht=Ed2ib zny3GH|J=VR$FtV%P(CRC;_>vW9Kh{VzqE{AS+!g%i1aPinO3&+?Apz{O#&r(V~(|a z^h+;)WT(T$cV%v-U1o&M*3zf9cNg0T-F2@{v|oAn)pbUnqV00JuXHX<=-D&5TgkKM zuao&X@xy;T|3(0>PCfqm%ZFc6a{T8%vVTAESN;ssT&rXMP91xEY3o(xi2TJ5dSAIM zpVYN!v)=P>Tu)SV0-q+uzqFgu+xzuS{W5pg=le}vtCz*AzWDX5m;dUPm$xJ&A9r^K zY)!HG(PqOl=cawSN{XlYnpW?R|9-!6&0%+_n53yP$y3TxVo#s9wd_fiE0c;87&MGj zCa2b}y?S=(k#e)mwtJ7bPYHH8DjQLvb=rwfAYuZ)sgbA3vfsEmmj-S&}ThiiK|KX(VlK$`2ZIwJ-^kz&p(@!;^HCg<=o!?b54Bx z&pY;Cx+Ptt_Qm%f**{m_TYlHI((2tITXyZ8SMBkna`CoF?ite}ePge3K3enSj}QCN z2?9(jYL!9Pj(?7vDdhRD5O~Amgi19%q9ze>&w2xg`(P(JU+Vt(`P9Gg+2^8;Y_2@+ zzisNfCHi^ac1<=CsynHfbt3bhcglnb{~22L0C#r=ADa!#`Lovlos_f=c%^uy`@iMA z=Km&|#{X718v9S^Q~zIosr3DfO=^F4w;l4h3E{?Gt+cp}q$2V7rgYfYUf?tASS@&se?xP+TBz zFU@1%r1=ux@P8)_!|O*KG8!VIX=F6ljFuy#CF^KiGxTfU@BJ60-2cYw?td!&rGDqG Zf3Jb(dHlV8<3EG)@B2U21CK1b2>@WklbHYj literal 0 HcmV?d00001 From 08ebae46a7627663ed2bbd72750314a5d72e5e5d Mon Sep 17 00:00:00 2001 From: EdmanCoding <164445630+EdmanCoding@users.noreply.github.com> Date: Thu, 15 May 2025 22:30:42 +0900 Subject: [PATCH 3/5] Update chapter-05 exercise 33 --- solutions/chapter-05.md | 21 +++++++++++++++++++++ 1 file changed, 21 insertions(+) diff --git a/solutions/chapter-05.md b/solutions/chapter-05.md index 63befd6..61f712b 100644 --- a/solutions/chapter-05.md +++ b/solutions/chapter-05.md @@ -137,6 +137,27 @@ 6. RESULT: N=1, Z=0, P=0 --- 33. R5 is 0000 0000 0001 1111. + ![Solution](_attachments/5.33%20R5%20bits.jpg) + Behavior of the loop (x3002–x3008): +1. R6 Doubling Sequence: +o Starts at 0000 0000 0000 0001 (1). +o Each iteration: + x3005: R6 ← R6 + R6 (left-shift by 1 → 0000 0000 0000 0010, 0000 0000 0000 0100, etc.). +2. R0 Increment: +o Begins at x0000, increments by 1 at x3004 (ADD R0, R0, #1) when the AND result is non-zero. +3. Branch Condition (x3003): +o Branches to x3005 only when R5 AND R6 = 0. +o This occurs when R6’s set bit (e.g., 0010 0000) does not overlap with R5’s bits. + If R5 = 0000 0000 0001 1111 (31), the AND yields zero only when R6 =0000 0000 0010 0000 (32). + Thus, R0 increments only 5 times (for R6 = 1, 2, 4, 8, 16), stopping when R6 = 32 (since AND results in zero, skipping x3004). +4. Later Iterations: +o For R6 = 0100 0000 (64), 1000 0000 (128), etc., R5 AND R6 remains zero (no further R0 increments). +________________________________________ +Key Conclusions +• Final R0 = 5: Matches the count of non-zero AND results before R6 reaches 0010 0000. +• R5 Value: Must be 0001 1111 (31) to ensure: +o AND is non-zero for R6 = 1, 2, 4, 8, 16. +o AND is zero for R6 ≥ 32. --- 34. NOT ![Solution](_attachments/Pasted%20image%2020241229181429.png) From 672bc2016609f94e55d252e832d6f5bfeaddf756 Mon Sep 17 00:00:00 2001 From: EdmanCoding <164445630+EdmanCoding@users.noreply.github.com> Date: Thu, 15 May 2025 22:31:32 +0900 Subject: [PATCH 4/5] Update chapter-05 exercise 33 --- solutions/chapter-05.md | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/solutions/chapter-05.md b/solutions/chapter-05.md index 61f712b..d2eccef 100644 --- a/solutions/chapter-05.md +++ b/solutions/chapter-05.md @@ -139,18 +139,18 @@ 33. R5 is 0000 0000 0001 1111. ![Solution](_attachments/5.33%20R5%20bits.jpg) Behavior of the loop (x3002–x3008): -1. R6 Doubling Sequence: + R6 Doubling Sequence: o Starts at 0000 0000 0000 0001 (1). o Each iteration:  x3005: R6 ← R6 + R6 (left-shift by 1 → 0000 0000 0000 0010, 0000 0000 0000 0100, etc.). -2. R0 Increment: + R0 Increment: o Begins at x0000, increments by 1 at x3004 (ADD R0, R0, #1) when the AND result is non-zero. -3. Branch Condition (x3003): + Branch Condition (x3003): o Branches to x3005 only when R5 AND R6 = 0. o This occurs when R6’s set bit (e.g., 0010 0000) does not overlap with R5’s bits.  If R5 = 0000 0000 0001 1111 (31), the AND yields zero only when R6 =0000 0000 0010 0000 (32).  Thus, R0 increments only 5 times (for R6 = 1, 2, 4, 8, 16), stopping when R6 = 32 (since AND results in zero, skipping x3004). -4. Later Iterations: + Later Iterations: o For R6 = 0100 0000 (64), 1000 0000 (128), etc., R5 AND R6 remains zero (no further R0 increments). ________________________________________ Key Conclusions From 7dba2203c9d06176768f9d7ce3778eb83ceaa78d Mon Sep 17 00:00:00 2001 From: EdmanCoding <164445630+EdmanCoding@users.noreply.github.com> Date: Thu, 15 May 2025 22:32:43 +0900 Subject: [PATCH 5/5] Update chapter-05 exercise 33 --- solutions/chapter-05.md | 22 +++++++++++----------- 1 file changed, 11 insertions(+), 11 deletions(-) diff --git a/solutions/chapter-05.md b/solutions/chapter-05.md index d2eccef..019ae62 100644 --- a/solutions/chapter-05.md +++ b/solutions/chapter-05.md @@ -140,24 +140,24 @@ ![Solution](_attachments/5.33%20R5%20bits.jpg) Behavior of the loop (x3002–x3008): R6 Doubling Sequence: -o Starts at 0000 0000 0000 0001 (1). -o Each iteration: - x3005: R6 ← R6 + R6 (left-shift by 1 → 0000 0000 0000 0010, 0000 0000 0000 0100, etc.). +• Starts at 0000 0000 0000 0001 (1). +• Each iteration: +• x3005: R6 ← R6 + R6 (left-shift by 1 → 0000 0000 0000 0010, 0000 0000 0000 0100, etc.). R0 Increment: -o Begins at x0000, increments by 1 at x3004 (ADD R0, R0, #1) when the AND result is non-zero. +• Begins at x0000, increments by 1 at x3004 (ADD R0, R0, #1) when the AND result is non-zero. Branch Condition (x3003): -o Branches to x3005 only when R5 AND R6 = 0. -o This occurs when R6’s set bit (e.g., 0010 0000) does not overlap with R5’s bits. - If R5 = 0000 0000 0001 1111 (31), the AND yields zero only when R6 =0000 0000 0010 0000 (32). - Thus, R0 increments only 5 times (for R6 = 1, 2, 4, 8, 16), stopping when R6 = 32 (since AND results in zero, skipping x3004). +• Branches to x3005 only when R5 AND R6 = 0. +• This occurs when R6’s set bit (e.g., 0010 0000) does not overlap with R5’s bits. +• If R5 = 0000 0000 0001 1111 (31), the AND yields zero only when R6 =0000 0000 0010 0000 (32). +• Thus, R0 increments only 5 times (for R6 = 1, 2, 4, 8, 16), stopping when R6 = 32 (since AND results in zero, skipping x3004). Later Iterations: -o For R6 = 0100 0000 (64), 1000 0000 (128), etc., R5 AND R6 remains zero (no further R0 increments). +• For R6 = 0100 0000 (64), 1000 0000 (128), etc., R5 AND R6 remains zero (no further R0 increments). ________________________________________ Key Conclusions • Final R0 = 5: Matches the count of non-zero AND results before R6 reaches 0010 0000. • R5 Value: Must be 0001 1111 (31) to ensure: -o AND is non-zero for R6 = 1, 2, 4, 8, 16. -o AND is zero for R6 ≥ 32. +• AND is non-zero for R6 = 1, 2, 4, 8, 16. +• AND is zero for R6 ≥ 32. --- 34. NOT ![Solution](_attachments/Pasted%20image%2020241229181429.png)