thank you Tony for following up with all the details of a solution! I didn´t tryi it when I made the suggestion.
I was thinking of Pippy / Python. Carlos On Nov 9, 2011, at 2:22 AM, [email protected] wrote: > Carlos > > The checksum calculated in TurtleArt > > http://tonyforster.blogspot.com/2011/11/turtle-checksums.html > > > Tony > > >> English Text Follows Spanish Text >> >> Pensamos este podrï¿∏a ser un tema interesante para un proyecto usando >> algunas de las aplicaciones en las computadoras del Plan Ceibal. >> >> Todos los que vivimos en Uruguay debemos tener, desde la edad de 45 dï¿∏as, >> nuestra cï¿∏dula de identidad que contiene nuestro nombre, foto, firma, >> impresiï¿∏n digital, fecha de nacimiento y un nï¿∏mero que nos identifica >> por el resto de nuestras vidas: >> >> >> >> Estos son algunos de los muchos usos de la cï¿∏dula: >> >> - Poder recibir la computadora del Plan Ceibal. El plan mantiene una base >> de datos donde cada computadora entregada estï¿∏ asociada a un estudiante o >> educador. >> >> - Tener una cuenta personal en el BPS, Banco de Previsiï¿∏n Social. >> Presentando la cï¿∏dula todos los que trabajan en Uruguay pueden verificar >> que el BPS les estï¿∏ acreditando correctamente los beneficios sociales, >> que tienen derecho a recibir. >> >> - Como identificaciï¿∏n para viajar a paï¿∏ses en nuestra regiï¿∏n, en >> lugar de pasaporte. >> >> Muy frecuentemente, en la escuela, en el lugar de trabajo, en comercios, >> en oficinas del gobierno y privadas, nos piden nuestro nï¿∏mero de cï¿∏dula >> para anotarlo en algï¿∏n formulario. Es muy fï¿∏cil que se cometa un error >> al anotarlo. >> >> El dï¿∏gito de control, que es el octavo dï¿∏gito, que aparece a la >> derecha del guiï¿∏n como en este ejemplo: >> >> 5.555.555-5 >> >> puede ser que no corresponda al que se puede calcular usando los siete >> primeros dï¿∏gitos. Eso es una indicaciï¿∏n de que muy probablemente hubo >> un error al anotar este nï¿∏mero de cï¿∏dula. >> >> Para los que les interese cï¿∏mo se calcula el dï¿∏gito de control, hemos >> preparado esta planilla de cï¿∏lculo: >> >> >> >> Este archivo pueden abrirlo con Excel, Open Office o Google Docs. >> >> El primer proyecto que sugerimos serï¿∏a simplemente repetir el cï¿∏lculo >> que mostramos, usando una o mï¿∏s de las aplicaciones que ofrecen las >> ceibalitas. >> >> Luego, podrï¿∏a ser resolver otros problemas: >> >> - Dados siete de los ocho dï¿∏gitos en una cï¿∏dula, calcular el faltante. >> >> - Siempre que haya un error, ï¿∏nos darï¿∏ mal el cï¿∏lculo del dï¿∏gito de >> control? Justificar la respuesta. >> >> - Si transponemos dos dï¿∏gitos consecutivos, un error muy frecuente, >> ï¿∏cambiarï¿∏ el dï¿∏gito de control calculado? ï¿∏Podremos darnos cuenta >> en ese caso, cuï¿∏l fue el error y corregirlo? >> >> - ï¿∏Hay otras aplicaciones de los dï¿∏gitos de control en el mundo real, >> ademï¿∏s de la cï¿∏dula de identidad? >> >> Para los que quieran profundizar en el tema y hacer otros ejercicios, con >> gusto les enviaremos el trabajo de Omar Gil y Ricardo Vilarï¿∏, que >> mencionamos en la tabla de cï¿∏lculo adjunta. >> >> English Text: >> >> We believe this could be an interesting subject for a project using some of >> the applications in the Plan Ceibal computers. >> >> All of us who live in Uruguay must have, from the age of 45 days, our ID >> Card containing our name, picture, signature, finger print, date of birth >> and a number that identifies us for the rest of our lives. >> >> These are some of the many uses for the ID card: >> >> - To be able to receive Plan Ceibalï¿∏s computer. The plan maintains a >> database where each computer they have delivered is associated to a student >> or an educator. >> >> - To have a personal account with BPS, Banco de Previsiï¿∏n Social. Anyone >> working in Uruguay may present the ID card and check that BPS is properly >> crediting the social benefits that person is entitled to receive. >> >> - As ID to travel to countries in our region, instead of a passport. >> >> Quite frequently we are asked for our ID card number to fill-in a form, >> This happens at school, at the work place, at shops, at government and >> private offices. It is very easy for errors to occur. >> >> The control digit, this is the eighth digit, shown to the right of the >> dash as in this example: >> >> 5.555.555-5 >> >> might not be the same that may be calculated using the first seven digits. >> This is an indication that most probably there was an error when writing >> down this ID card number. >> >> We have prepared this spreadsheet for those interested in learning how this >> control digit is calculated: >> >> >> >> This file may be opened with Excel, Open Office or Google Docs. >> >> The first project we would like to suggest is to just repeat the calculation >> we show, using one or more of the applications in Plan Ceibalï¿∏ computers. >> >> Then, it could be resolving other problems: >> >> - Given seven of the eight digits in an ID card, calculate the missing >> digit. >> >> - Whenever there is an error, is the calculation going to return the wrong >> control digit? Justify the answer. >> >> - If we transpose two consecutive digits, a very frequent error, will the >> calculation result change? Are we going to be able, in such case, to find >> out what the error was and correct it? >> >> - Are there other applications in the real world for control digits, >> besides the ID card? >> >> We will be glad to send the paper by Omar Gil and Ricardo Vilarï¿∏, >> mentioned in the attached spreadsheet, to anyone who might wish to further >> study the subject and do other exercises. >> >> >> Carlos Rabassa >> Volunteer >> Plan Ceibal Support Network >> Montevideo, Uruguay >> www.tiny.cc/AprendoILearn >> >> >> <html><head></head><body style="word-wrap: break-word; -webkit-nbsp-mode: >> space; -webkit-line-break: after-white-space; "><div><span >> class="Apple-style-span" style="font-size: 18px;"><b><font >> class="Apple-style-span" color="#ff1314">English Text Follows Spanish >> Text</font></b></span></div><div><span class="Apple-style-span" >> style="font-size: 18px;"><b><font class="Apple-style-span" >> color="#ff1314"><br></font></b></span></div><div><span >> class="Apple-style-span" style="font-size: 18px;">Pensamos este podrï¿∏a ser >> un tema interesante para un proyecto usando algunas de las aplicaciones en >> las computadoras del Plan Ceibal.<br><span style="color: rgb(0, 0, 0); >> background-color: transparent; font-variant: normal; text-decoration: none; >> vertical-align: baseline; "></span><br><span style="color: rgb(0, 0, 0); >> background-color: transparent; font-variant: normal; text-decoration: none; >> vertical-align: baseline; ">Todos >> los que vivimos en Uruguay debemos tener,  desde la edad de 45 dï¿∏as, >>  nuestra cï¿∏dula de identidad que contiene nuestro nombre, foto, firma, >> impresiï¿∏n digital, fecha de nacimiento y >> un nï¿∏mero que nos identifica por el resto de nuestras >> vidas:</span></span></div><div><span class="Apple-style-span" >> style="font-size: 18px;"><span style="color: rgb(0, 0, 0); background-color: >> transparent; font-variant: normal; text-decoration: none; vertical-align: >> baseline; "><br></span></span></div><div><span class="Apple-style-span" >> style="font-size: 18px;"></span></div></body></html> >> [ Cedula-4.jpg ] >> <html><body style="word-wrap: break-word; -webkit-nbsp-mode: space; >> -webkit-line-break: after-white-space; "><head></head><div><br><div><span >> class="Apple-style-span" style="font-size: 18px;"></span></div><div><span >> class="Apple-style-span" style="font-size: 18px; "><span style="color: >> rgb(0, 0, 0); background-color: transparent; font-variant: normal; >> text-decoration: none; vertical-align: baseline; "></span></span><div><div >> style="font-size: medium; "><span class="Apple-style-span" style="font-size: >> 18px; "><span style="color: rgb(0, 0, 0); background-color: transparent; >> font-variant: normal; text-decoration: none; vertical-align: baseline; >> ">Estos son algunos de los muchos usos de la cï¿∏dula:</span><br><span >> style="color: rgb(0, 0, 0); background-color: transparent; font-variant: >> normal; text-decoration: none; vertical-align: baseline; >> "></span><br></span></div><blockquote class="webkit-indent-blockquote" >> style="font-size: medium; margin-top: 0px; margin-right: 0px; mar! > gin-bottom: 0px; margin-left: 40px; border-top-style: none; > border-right-style: none; border-bottom-style: none; border-left-style: none; > border-width: initial; border-color: initial; padding-top: 0px; > padding-right: 0px; padding-bottom: 0px; padding-left: 0px; "><div><span > class="Apple-style-span" style="font-size: 18px; "><span style="color: rgb(0, > 0, 0); background-color: transparent; font-variant: normal; text-decoration: > none; vertical-align: baseline; ">- Poder recibir la computadora del Plan > Ceibal.  El plan mantiene una base de datos donde cada computadora entregada > estï¿∏ asociada a un estudiante o educador.</span></span></div><div><span > class="Apple-style-span" style="font-size: 18px; > "><br></span></div><div><span class="Apple-style-span" style="font-size: > 18px; "><span style="color: rgb(0, 0, 0); background-color: transparent; > font-variant: normal; text-decoration: none; vertical-align: baseline; ">- > Tener una cuenta personal en el BPS, Banco de Previsiï¿∏n Soci! > al.  Presentando la cï¿∏dula todos los que trabajan en Uruguay pueden > verificar que el BPS les estï¿∏ acreditando correctamente los beneficios > sociales,  que tienen derecho a recibir.</span></span></div><div><span > class="Apple-style-span" style="font-size: 18px; > "><br></span></div><div><span class="Apple-style-span" style="font-size: > 18px; ">- Como identificaciï¿∏n para viajar a paï¿∏ses en nuestra regiï¿∏n,  > en lugar de pasaporte.</span></div></blockquote><div style="font-size: > medium; "><span class="Apple-style-span" style="font-size: 18px; "><span > style="color: rgb(0, 0, 0); background-color: transparent; font-variant: > normal; text-decoration: none; vertical-align: baseline; "></span><br><span > style="color: rgb(0, 0, 0); background-color: transparent; font-variant: > normal; text-decoration: none; vertical-align: baseline; ">Muy > frecuentemente,  en la escuela,  en el lugar de trabajo,  en comercios,  > en oficinas del gobierno y privadas,  nos piden nuestro nï¿∏mero de cï¿∏dula > para anotarlo en algï¿∏n formulario.  Es muy fï¿∏cil que s! > e cometa un error al anotarlo.</span><br><span style="color: rgb(0, 0, 0); > background-color: transparent; font-variant: normal; text-decoration: none; > vertical-align: baseline; "></span><br><span style="color: rgb(0, 0, 0); > background-color: transparent; font-variant: normal; text-decoration: none; > vertical-align: baseline; ">El dï¿∏gito de control,  que es el octavo > dï¿∏gito,  que aparece a la derecha del guiï¿∏n como en este > ejemplo:</span></span></div><div style="font-size: medium; "><span > class="Apple-style-span" style="font-size: 18px; > "><br></span></div></div></div></div><blockquote > class="webkit-indent-blockquote" style="margin: 0 0 0 40px; border: none; > padding: 0px;"><div><div><div><div style="font-size: medium; "><span > class="Apple-style-span" style="font-size: 18px; "><span style="color: rgb(0, > 0, 0); background-color: transparent; font-variant: normal; text-decoration: > none; vertical-align: baseline; > ">5.555.555-5</span></span></div></div></div></div></blockqu! > ote><div><div><div><div style="font-size: medium; "><span class="Apple > -style-span" style="font-size: 18px; "><br><span style="color: rgb(0, 0, 0); > background-color: transparent; font-variant: normal; text-decoration: none; > vertical-align: baseline; ">puede ser que no corresponda al que se puede > calcular usando los siete primeros dï¿∏gitos.  Eso es una indicaciï¿∏n de > que muy probablemente hubo un error al anotar este nï¿∏mero de > cï¿∏dula.</span></span></div><div style="font-size: medium; "><span > class="Apple-style-span" style="font-size: 18px; "><span style="color: rgb(0, > 0, 0); background-color: transparent; font-variant: normal; text-decoration: > none; vertical-align: baseline; "></span><br><span style="color: rgb(0, 0, > 0); background-color: transparent; font-variant: normal; text-decoration: > none; vertical-align: baseline; ">Para los que les interese cï¿∏mo se calcula > el dï¿∏gito de control,  hemos preparado esta planilla de > cï¿∏lculo:</span></span></div><div><span class="Apple-style-span" > style="font-size: 18px;"><br></span></div></div><d! > iv><span class="Apple-style-span" style="font-size: > 18px;"></span></div></div></div></body></html><html><body style="word-wrap: > break-word; -webkit-nbsp-mode: space; -webkit-line-break: after-white-space; > "><head></head><div><div><div><span class="Apple-style-span" > style="font-size: 18px;"></span></div><div style="font-size: medium; > "><div></div><div><span class="Apple-style-span" style="font-size: 18px; > "><span style="color: rgb(0, 0, 0); background-color: transparent; > font-variant: normal; text-decoration: none; vertical-align: baseline; > "><br></span></span></div><div><span class="Apple-style-span" > style="font-size: 18px; "><span style="color: rgb(0, 0, 0); background-color: > transparent; font-variant: normal; text-decoration: none; vertical-align: > baseline; ">Este archivo pueden abrirlo con Excel, Open Office o Google > Docs.</span></span></div></div><div style="font-size: medium; "><span > class="Apple-style-span" style="font-size: 18px; "><span style="color: rgb(0, > 0, 0); b! > ackground-color: transparent; font-variant: normal; text-decoration: n > one; vertical-align: baseline; "><br></span></span></div><div > style="font-size: medium; "><span class="Apple-style-span" style="font-size: > 18px; "><span style="color: rgb(0, 0, 0); background-color: transparent; > font-variant: normal; text-decoration: none; vertical-align: baseline; ">El > primer proyecto que sugerimos serï¿∏a simplemente repetir el cï¿∏lculo que > mostramos,  usando una o mï¿∏s de las aplicaciones que ofrecen las > ceibalitas.</span></span></div><div style="font-size: medium; "><span > class="Apple-style-span" style="font-size: 18px; "><span style="color: rgb(0, > 0, 0); background-color: transparent; font-variant: normal; text-decoration: > none; vertical-align: baseline; "><br></span></span></div><div > style="font-size: medium; "><span class="Apple-style-span" style="font-size: > 18px; "><span style="color: rgb(0, 0, 0); background-color: transparent; > font-variant: normal; text-decoration: none; vertical-align: baseline; > ">Luego, podrï¿∏a ser resolver otros problemas:</! > span></span></div><div style="font-size: medium; "><span > class="Apple-style-span" style="font-size: 18px; "><span style="color: rgb(0, > 0, 0); background-color: transparent; font-variant: normal; text-decoration: > none; vertical-align: baseline; "><br></span></span></div><div > style="font-size: medium; "><span class="Apple-style-span" style="font-size: > 18px; "><span style="color: rgb(0, 0, 0); background-color: transparent; > font-variant: normal; text-decoration: none; vertical-align: baseline; ">- > Dados siete de los ocho dï¿∏gitos en una cï¿∏dula,  calcular el > faltante.</span></span></div><div style="font-size: medium; "><span > class="Apple-style-span" style="font-size: 18px; "><span style="color: rgb(0, > 0, 0); background-color: transparent; font-variant: normal; text-decoration: > none; vertical-align: baseline; "><br></span></span></div><div > style="font-size: medium; "><span class="Apple-style-span" style="font-size: > 18px; "><span style="color: rgb(0, 0, 0); background-color: ! > transparent; font-variant: normal; text-decoration: none; vertical-ali > gn: baseline; ">- Siempre que haya un error,  ï¿∏nos darï¿∏ mal el cï¿∏lculo > del dï¿∏gito de control? Justificar la respuesta.</span></span></div><div > style="font-size: medium; "><span class="Apple-style-span" style="font-size: > 18px; "><span style="color: rgb(0, 0, 0); background-color: transparent; > font-variant: normal; text-decoration: none; vertical-align: baseline; > "><br></span></span></div><div style="font-size: medium; "><span > class="Apple-style-span" style="font-size: 18px; ">- Si transponemos dos > dï¿∏gitos consecutivos,  un error muy frecuente, ï¿∏cambiarï¿∏ el dï¿∏gito > de control calculado?  ï¿∏Podremos darnos cuenta en ese caso,  cuï¿∏l fue > el error y corregirlo?</span></div><div style="font-size: medium; "><span > class="Apple-style-span" style="font-size: 18px; "><br></span></div><div > style="font-size: medium; "><span class="Apple-style-span" style="font-size: > 18px; ">- ï¿∏Hay otras aplicaciones de los dï¿∏gitos de control en el mundo > real,  ademï¿∏s de la cï¿! > ∏dula de identidad?</span></div><div style="font-size: medium; "><span > class="Apple-style-span" style="font-size: 18px; "><br></span></div><div > style="font-size: medium; "><span class="Apple-style-span" style="font-size: > 18px; ">Para los que quieran profundizar en el tema y hacer otros ejercicios, >  con gusto les enviaremos el trabajo de Omar Gil y Ricardo Vilarï¿∏,  que > mencionamos en la tabla de cï¿∏lculo adjunta.</span></div><div > style="font-size: 18px; "><span class="Apple-style-span" style="font-size: > 18px; "><br></span></div></div><div><div><span class="Apple-style-span" > style="font-size: 18px; "><b><font class="Apple-style-span" > color="#ff1314">English Text:</font></b></span></div></div><div><font > class="Apple-style-span" color="#ff1314"><span class="Apple-style-span" > style="font-size: 18px;"><b><br></b></span></font></div><div><div><span > class="Apple-style-span" style="font-size: 18px; ">We believe this could be > an interesting subject for a project using some of th! > e applications in the Plan Ceibal computers.<br></span></div><div><spa > n class="Apple-style-span" style="font-size: 18px; "><span style="color: > rgb(0, 0, 0); background-color: transparent; font-variant: normal; > text-decoration: none; vertical-align: baseline; > "><br></span></span></div><div><span class="Apple-style-span" > style="font-size: 18px; "><span style="color: rgb(0, 0, 0); background-color: > transparent; font-variant: normal; text-decoration: none; vertical-align: > baseline; ">All of us who live in Uruguay must have, from the age of 45 days, >  our ID Card containing our name, picture, signature, finger print, date of > birth and a number that identifies us for the rest of our > lives.</span></span></div><div><div><div><div style="font-size: medium; > "><span class="Apple-style-span" style="font-size: 18px; > "><br></span></div><div style="font-size: medium; "><span > class="Apple-style-span" style="font-size: 18px; ">These are some of the many > uses for the ID card:<br><span style="color: rgb(0, 0, 0); background-color: > transparent; font-variant: norm! > al; text-decoration: none; vertical-align: baseline; > "></span><br></span></div><blockquote class="webkit-indent-blockquote" > style="font-size: medium; margin-top: 0px; margin-right: 0px; margin-bottom: > 0px; margin-left: 40px; border-top-style: none; border-right-style: none; > border-bottom-style: none; border-left-style: none; border-width: initial; > border-color: initial; padding-top: 0px; padding-right: 0px; padding-bottom: > 0px; padding-left: 0px; "><div><span class="Apple-style-span" > style="font-size: 18px; "><span style="color: rgb(0, 0, 0); background-color: > transparent; font-variant: normal; text-decoration: none; vertical-align: > baseline; ">- To be able to receive Plan Ceibalï¿∏s computer.  The plan > maintains a database where each computer they have delivered is associated to > a student or an educator.</span></span></div><div><span > class="Apple-style-span" style="font-size: 18px; > "><br></span></div><div><span class="Apple-style-span" style="font-size: > 18px; "><span styl! > e="color: rgb(0, 0, 0); background-color: transparent; font-variant: n > ormal; text-decoration: none; vertical-align: baseline; ">- To have a > personal account with BPS, Banco de Previsiï¿∏n Social.  Anyone working in > Uruguay may present the ID card and check that BPS is properly crediting the > social benefits that person is entitled to receive. > </span></span></div><div><span class="Apple-style-span" style="font-size: > 18px; "><span style="color: rgb(0, 0, 0); background-color: transparent; > font-variant: normal; text-decoration: none; vertical-align: baseline; > "><br></span></span></div><div><span class="Apple-style-span" > style="font-size: 18px; ">- As ID to travel to countries in our region,  > instead of a passport.</span></div></blockquote><div style="font-size: > medium; "><span class="Apple-style-span" style="font-size: 18px; > "><br></span></div><div style="font-size: medium; "><span > class="Apple-style-span" style="font-size: 18px; ">Quite frequently we are > asked for our ID card number to fill-in a form,  This happens at school, at > the work plac! > e, at shops, at government and private offices. It is very easy for errors to > occur.</span></div><div style="font-size: medium; "><span > class="Apple-style-span" style="font-size: 18px; "><span style="color: rgb(0, > 0, 0); background-color: transparent; font-variant: normal; text-decoration: > none; vertical-align: baseline; "><br></span></span></div><div > style="font-size: medium; "><span class="Apple-style-span" style="font-size: > 18px; "><span style="color: rgb(0, 0, 0); background-color: transparent; > font-variant: normal; text-decoration: none; vertical-align: baseline; ">The > control digit,  this is the eighth digit,  shown to the right of the dash > as in this example:</span></span></div><div style="font-size: medium; "><span > class="Apple-style-span" style="font-size: 18px; > "><br></span></div></div></div></div></div></div><blockquote > class="webkit-indent-blockquote" style="margin: 0 0 0 40px; border: none; > padding: 0px;"><div><div><div><div><div><div style="font-size: medium! > ; "><span class="Apple-style-span" style="font-size: 18px; "><span sty > le="color: rgb(0, 0, 0); background-color: transparent; font-variant: normal; > text-decoration: none; vertical-align: baseline; > ">5.555.555-5</span></span></div></div></div></div></div></div></blockquote><div><div><div><div><div><div > style="font-size: medium; "><span class="Apple-style-span" style="font-size: > 18px; "><br><span style="color: rgb(0, 0, 0); background-color: transparent; > font-variant: normal; text-decoration: none; vertical-align: baseline; > ">might not be the same that may be calculated using the first seven digits. >  This is an indication that most probably there was an error when writing > down this ID card number.</span></span></div><div style="font-size: medium; > "><span class="Apple-style-span" style="font-size: 18px; "><span > style="color: rgb(0, 0, 0); background-color: transparent; font-variant: > normal; text-decoration: none; vertical-align: baseline; > "><br></span></span></div><div style="font-size: medium; "><span > class="Apple-style-span" style="font-size: ! > 18px; "><span style="color: rgb(0, 0, 0); background-color: transparent; > font-variant: normal; text-decoration: none; vertical-align: baseline; ">We > have prepared this spreadsheet for those interested in learning how this > control digit is calculated</span></span><span class="Apple-style-span" > style="font-size: 18px; ">:</span></div><div><span class="Apple-style-span" > style="font-size: 18px; "><br></span></div></div><div><span > class="Apple-style-span" style="font-size: > 18px;"></span></div></div></div></div></div></body></html><html><head></head><body > style="word-wrap: break-word; -webkit-nbsp-mode: space; -webkit-line-break: > after-white-space; "><div><div><div><div><div><span class="Apple-style-span" > style="font-size: 18px;"></span></div><div style="font-size: medium; > "><div><span class="Apple-style-span" style="font-size: 18px; "><span > style="color: rgb(0, 0, 0); background-color: transparent; font-variant: > normal; text-decoration: none; vertical-align: baseline; "><br></sp! > an></span></div><div><span class="Apple-style-span" style="font-size: > 18px; "><span style="color: rgb(0, 0, 0); background-color: transparent; > font-variant: normal; text-decoration: none; vertical-align: baseline; ">This > file may be opened with </span></span><span class="Apple-style-span" > style="font-size: 18px; ">Excel, Open Office or Google > Docs.</span></div></div><div style="font-size: medium; "><span > class="Apple-style-span" style="font-size: 18px; "><span style="color: rgb(0, > 0, 0); background-color: transparent; font-variant: normal; text-decoration: > none; vertical-align: baseline; "><br></span></span></div><div > style="font-size: medium; "><span class="Apple-style-span" style="font-size: > 18px; "><span style="color: rgb(0, 0, 0); background-color: transparent; > font-variant: normal; text-decoration: none; vertical-align: baseline; ">The > first project we would like to suggest is to just repeat the calculation we > show,  using one or more of the applications in Plan Ceibalï¿∏ > computers.</span></span></div><div style="font-size: medium; "><s! > pan class="Apple-style-span" style="font-size: 18px; "><br></span></div><div > style="font-size: medium; "><span class="Apple-style-span" style="font-size: > 18px; ">Then,  it could be resolving other problems:</span></div><div > style="font-size: medium; "><span class="Apple-style-span" style="font-size: > 18px; "><span style="color: rgb(0, 0, 0); background-color: transparent; > font-variant: normal; text-decoration: none; vertical-align: baseline; > "><br></span></span></div><div style="font-size: medium; "><span > class="Apple-style-span" style="font-size: 18px; "><span style="color: rgb(0, > 0, 0); background-color: transparent; font-variant: normal; text-decoration: > none; vertical-align: baseline; ">- Given seven of the eight digits in an ID > card,  calculate the missing digit.</span></span></div><div > style="font-size: medium; "><span class="Apple-style-span" style="font-size: > 18px; "><span style="color: rgb(0, 0, 0); background-color: transparent; > font-variant: normal; text-decorat! > ion: none; vertical-align: baseline; "><br></span></span></div><div st > yle="font-size: medium; "><span class="Apple-style-span" style="font-size: > 18px; "><span style="color: rgb(0, 0, 0); background-color: transparent; > font-variant: normal; text-decoration: none; vertical-align: baseline; ">-  > Whenever there is an error,  is the calculation going to return the wrong > control digit?  Justify the answer.</span></span></div><div > style="font-size: medium; "><span class="Apple-style-span" style="font-size: > 18px; "><br></span></div><div style="font-size: medium; "><span > class="Apple-style-span" style="font-size: 18px; ">- If we transpose two > consecutive digits,  a very frequent error, will the calculation result > change? Are we going to be able,  in such case,  to find out what the error > was and correct it?</span></div><div style="font-size: medium; "><span > class="Apple-style-span" style="font-size: 18px; "><br></span></div><div > style="font-size: medium; "><span class="Apple-style-span" style="font-size: > 18px; ">- Are there other applications in ! > the real world for control digits,  besides the ID > card?</span></div></div></div></div><div style="font-size: medium; "><span > class="Apple-style-span" style="font-size: 18px; "><br></span></div><div > style="font-size: medium; "><span class="Apple-style-span" style="font-size: > 18px; ">We will be glad to send the paper by Omar Gil and Ricardo Vilarï¿∏,  > mentioned in the attached spreadsheet, to anyone who might wish to further > study the subject and do other exercises.</span></div><div><span > class="Apple-style-span" style="font-size: 18px; "><b><font > class="Apple-style-span" > color="#ff1314"><br></font></b></span></div><div><span > class="Apple-style-span" style="font-size: 18px; "><b><font > class="Apple-style-span" color="#ff1314"><br></font></b></span></div><div> >> <span class="Apple-style-span" style="border-collapse: separate; color: >> rgb(0, 0, 0); font-family: Arial; font-style: normal; font-variant: normal; >> font-weight: normal; letter-spacing: normal; line-height: normal; orphans: >> 2; text-align: auto; text-indent: 0px; text-transform: none; white-space: >> normal; widows: 2; word-spacing: 0px; -webkit-border-horizontal-spacing: >> 0px; -webkit-border-vertical-spacing: 0px; >> -webkit-text-decorations-in-effect: none; -webkit-text-size-adjust: auto; >> -webkit-text-stroke-width: 0px; font-size: medium; "><div>Carlos >> Rabassa</div><div>Volunteer</div><div>Plan Ceibal Support >> Network</div><div>Montevideo, Uruguay</div><div><a >> href="http://www.tiny.cc/AprendoILearn";>www.tiny.cc/AprendoILearn</a></div></span><br >> class="Apple-interchange-newline"> >> </div> >> >> <br></div></body></html>_______________________________________________ >> IAEP -- It's An Education Project (not a laptop project!) >> [email protected] >> http://lists.sugarlabs.org/listinfo/iaep > _______________________________________________ IAEP -- It's An Education Project (not a laptop project!) 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