From c8dd32967423a50436cd4fb15b01b120e39b1db8 Mon Sep 17 00:00:00 2001 From: Janis Hutz Date: Fri, 30 Jan 2026 07:45:02 +0100 Subject: [PATCH] [SPCA] Floating point: Fix stupid explanation --- .../01_c/06_floating-point/04_rounding.tex | 3 ++- semester3/spca/spca-summary.pdf | Bin 793068 -> 793041 bytes 2 files changed, 2 insertions(+), 1 deletion(-) diff --git a/semester3/spca/parts/01_c/06_floating-point/04_rounding.tex b/semester3/spca/parts/01_c/06_floating-point/04_rounding.tex index e7f7bf2..f3466c7 100644 --- a/semester3/spca/parts/01_c/06_floating-point/04_rounding.tex +++ b/semester3/spca/parts/01_c/06_floating-point/04_rounding.tex @@ -17,7 +17,8 @@ $$ \underbrace{X_1X_2\ldots X_{k - 1}X_k}_\text{Sticky} $$ where $n$ is the number of bits in the mantissa of the format (e.g. $3$ as in the above example of an $8$bit floating point number). -Do keep in mind that when computing them in \lC\ in the standard way, they are inverted, i.e. we need a \texttt{!= 0} at the end to correct. +Do keep in mind that when computing them in \lC\ using shifts that we can use \texttt{!= 0} at the end to change the bit representation to all $0$s with a $0$ or $1$ at the end +(as opposed to possibly a one in a more significant bit). \begin{enumerate} \item \textbf{Guard Bit} $G$ is the least significant bit of the (rounded) result (i.e. it is $B_n$) diff --git a/semester3/spca/spca-summary.pdf b/semester3/spca/spca-summary.pdf index a07da5de3f8c8514ff422f336deabcb5c7ff2040..ca29896edd19a8cf41b64f5f3c4126bea999f597 100644 GIT binary patch delta 46230 zcmX7vV{j$VvPN@a+qP}nwryu(=fugxwr$%sCYpF++fLrS_x=59RaaN_uHCA>Y-V0) zW^N!w1x=!FCP!@m1)sK9PETF{Lu{Xsfh zrua^dAkqNJxo%3L_C09rwn%6)?0O41+D$fcG4jP(SiB_60zgS%EkM+z|Fqp-EIoh{ z_lfJcX~rp2U_?^>VS7-R=MvZ+7FnPdU8r7|d^=s2lO)Zx77=#~z+uUSCMT`bDWZs< zD_^KTK;oLFtWQhMQ04vhX31w*tfD>7L@Rk(_A>?^EP1>4+TOzuGUe>Pk#^H&@!M%e z`=Oe_z>ZrzL>GB5<&~^!^u3n*KD+A zxTRT3T``N1Y`ciCpg_?QHr2J%tA`^OWn>?PY7~1 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