Descripción: examen tema numero 1 de Ace! 5 oxford para quinto de primaria
Solutions to exercise 6.4.2 from strogatz nonlinear dynamics
EX 1: How much time is spent in scanning across each row of pixels during screen refresh on a raster system with a resolution of 1280 by 1024 and a refresh rate of 0 frames per second !"ssume hori#ontal and $ertical retrace times are negligible! %oluti %olution: on: &esolut esolution ion of raste rasterr system system ' 1280 1280 by 1024 1024 &efresh &efresh rate'0 frames(sec )ime re*uired re*uired to scan each row of pixels'1(0+1024'1!2,-s
Ex 2: How much time is spent in scanning across each row of pixels during screen refresh on a raster system with a resolution of 40 by 480 and a refresh rate of 0 frames per second! %oluti %olution: on: &esolut esolution ion of of raster raster syste system m ' 40 40 by 480 480 &efresh &efresh rate'0 frames(sec )ime re*uired re*uired to scan each row of pixels'1(0+480'.2!,2-s EX .: "ssuming that a certain full color /24bit per pixel &3 raster system has a 12 by 12 frame bu5er6 how many distinct color choices /intensity le$els would be a$ailable!
solution: capacity
7umber of distinct color choices'frame bu5er number bits per pixels /colour '12+12(24 '10221
EX 4: How long would it ta9e to load a 40480 frame bu5er with 12bits per pixel6 if 10 bits can be transferred per second;
%olution: total time re*uired to load frame bu5er'40+480+12 10 '.!84 sec
EX : consider the raster system with resolution of 12801024!what si#e frame bu5er/in bytesis needed for the systems to store if 24bits pixel are to be stored; %olution: si#e of frame bu5er in bytes'1280+1024+24 8
'.!.21+10 bytes
EX : consider a non interlaced raster monitor with a resolution of n by m /m scan lines and n pixels per scan line6a refresh rate of r frames per second 6a hori#ontal retrace time of thori# and $ertical retrace time of t $ert! what is the fraction of total refresh time per frame spent in retrace of the electron beam; %olution: )otal refresh time per frame spent in retrace' /m+ thori# < thori#
EX ,: =f a t$ screen has 2 scan lines and an aspect ratio of .:4 6 and if each pixels contains 8bits worth of intensity information 6how many bits per second are re*uired to show .0 frames each second; %olution: i$en 2 scan lines >ertical pixels'2 Hori#ontal pixels'4+2 (.',00 &esolution',00+2 7umber of bits per frame',00+2+8'2!4+10 7umber of bits re*uired per second'2!4+ 10 +.0
'88!2+
10 Ex 8:what is the fraction of the total time per frame spent in retrace of electron beam for a non interlaced raster system with resolution of 1280+10246a refresh rate of 0 h#6 a hori#ontal retrace time of micro seconds and a $ertical retrace time of 00 micro seconds! %olution: )otal time per frame '1(0'1!, msec )otal refresh time per frame spent in retrace ' /1024++10 <00+10
'!2 msec ?raction of the total time per frame spent in retrace'!2 msec(1!, msec '0!.., Ex : consider a raster display system with resolution of 800 by 400!how many pixels could be accessed per second by a display controller that refreshes the screen at the rate of 0 frames per second; %olution: @ixels could be accessed per second'800+400+0 ' 162006000 Ex 10: ?or refreshing a 1280 by 1024 screen with .2 bits /one word pixels at 0 h# re*uires a memory accesses occur e$ery 1(/1280+1024+0'1!2 nano seconds
Ex 11:[X * Y * color depth (in bits)]
this would give you the the fr!e buffer si"e in bits# Ex!ple: $y we hd resolution of 1%&' x 1'% nd color depth of bits# we would go 1%&' * 1'% *
to give us %%&&' bits then to get bytes we divide by & to get +' bytes then to get ,ilobytes we divide by 1'% (-e!e!ber co!puters re bse %) ' ,ilobytes so co!puter running t 1%&' x 1'% with color depth of bits re.uires fr!e buffer of ' ,ilobytes#
