Top Banner

of 19

kmap by uk..

May 30, 2018

Download

Documents

Umar Khan
Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
  • 8/14/2019 kmap by uk..

    1/19

    XAZ@O_ XA OA\CR

    Nrgp Oahc

    D%Egz

    F`sxarp

    @kxrahox`ak

    Ssc Al D%Egz Ngxc Ic|ci E`k`e`}gx`ak

    2%|gr`gbic D%egz

    ?%|gr`gbic D%egz

    8%|gr`gbic D%egz 3%|gr`gbic D%egz

  • 8/14/2019 kmap by uk..

    2/19

    NRGP OAHC

    @k|ckxch bp Lrgkd Nrgp++

    B`kgrp ksecrgi pxce ~fcrc x~a

    sooc`|c |gisc h`llcr `k akip akc b`x+

    http://en.wikipedia.org/wiki/Binary_numeral_systemhttp://en.wikipedia.org/wiki/Binary_numeral_system
  • 8/14/2019 kmap by uk..

    3/19

    2%b`x Nrgp oahc

    ::

    :777

    7:

    :::

    ::7

    :77:7:

    77:

    777

    7:7

    7::

    ?%b`x Nrgp oahc

    _asroc= ~`d`zch`g+arn

  • 8/14/2019 kmap by uk..

    4/19

    ::::

    :::7

    ::77

    ::7:

    :77:

    :777

    :7:7

    :7::

    77::

    77:7

    7777

    777:

    7:7:

    7:77

    7::7

    7:::

    8%b`x Nrgp oahc

    _asroc= ~`d`zch`g+arn

  • 8/14/2019 kmap by uk..

    5/19

    B@KGRP XA NRGP OAHCOAK\CR_@AK

    Eahia 2 Gr`xfecx`o _xcz 7=7:77:7 l`rsx ~r`xc xfc E_B gs `x `s `+c)

    hgrdck b`x `+c) 7_xcz 2= ghh E_B gkh b`x kcvx xa xfc E_B `+c)

    7$:57_xcz ?= gng`k ghh : gkh 7 ~c ncx `+c) :$757_xcz 8= gng`k ghh 7 gkh 7 ~c ncx 7$75:_xcz 3= `k zrc|`as sxcz ogrrp `s aoorrch sakcnicox xfgx ogrrp + kaxc xfgx hak.x ghh ogrrp xa

    kcvx ghh kebcrsxfck gng`k ghh 7$: 7$:57sxcz

  • 8/14/2019 kmap by uk..

    6/19

  • 8/14/2019 kmap by uk..

    7/19

    DGRKGSNF EGZ

  • 8/14/2019 kmap by uk..

    8/19

    F@_XARP

    Xfc Dgrkgnf egz ~gs `k|ckxch `k 7032 bpCh~grh ^+\c`xofgkh hc|ciazch lrxfcr 703?bpEgr`oc Dgrkgnf+

    Ch~grh ^+ \c`xof~gs gk Gecr`ogkegxfcegx`o`gk+ Fc `k|ckxch `k 7032 g nrgzf`ogizraochrc lar xfc azx`e`}gx`ak alh`n`xgi o`ro`xs+

    Egsr`oc Dgrkgsnf) g xcicoaeek`ogx`aksckn`kccr) rchcl`kch xfc Dgrkgnf egz gx BciiIgbs `k 703?+

    _asroc=~`d`zch`g+arn

    http://en.wikipedia.org/wiki/Edward_W._Veitchhttp://en.wikipedia.org/wiki/Edward_W._Veitchhttp://en.wikipedia.org/wiki/Maurice_Karnaughhttp://en.wikipedia.org/wiki/Maurice_Karnaughhttp://en.wikipedia.org/wiki/Digital_circuithttp://en.wikipedia.org/wiki/Digital_circuithttp://en.wikipedia.org/wiki/Maurice_Karnaughhttp://en.wikipedia.org/wiki/Maurice_Karnaughhttp://en.wikipedia.org/wiki/Edward_W._Veitchhttp://en.wikipedia.org/wiki/Edward_W._Veitch
  • 8/14/2019 kmap by uk..

    9/19

    @KXRAHSOX@AK

    _psxcegx`o ecxfah xa abxg`k s`ezi`l`chse%al%zrahoxs &_AZsBaaicgk cvzrcss`aks+

    Abmcox`|c= Lc~csxzass`bic xcres!i`xcrgis+

    H`gnrgeegx`o xcofk`wc bgsch ak g szco`gi lare arngk`sch gs g

    egxr`v al swgrcs+ Cgsp ~`xf |`sgi g`h+

    _asroc= Aki`kcKaxcs lraeNcarn`g @ksx`xxc al

    Xcofkaianp+

  • 8/14/2019 kmap by uk..

    10/19

    ^FP S_C D%EGZ11

    LAR NGXC IC\CI E@K@E@]GX@AK++

  • 8/14/2019 kmap by uk..

    11/19

    ^FGX @_ NIE11

    D%Egz ` gia dka~k g Rchsox`ak Egz bcogsc `x rchsoc xfc sc al

    Gincbrg`o cvzrc`ak++

    Xf` ` ~fgx xfc ian`o bcf`kh xfc sc al D%Egz ` xfc Ngxc Ic|ci

    E`k`e`}gx`ak++

    Ngxc ic|ci E`k`e`}gx`ak ecgk xfgx `x rchsoc xfc ksebcr al ngxc sc `k

    asr l`kgi zrgox`ogi gkh xfcargx`ogi ogiosigx`ak gkh o`ros`x++

    @k farx `x rchsoc xfc sc al Ian`o ngxc++

    ^`ii n`|c pas aec cvgezic xa skhcrxgkh xf` oarc oakoczx++

  • 8/14/2019 kmap by uk..

    12/19

    2%\GR@GBIC D%EGZ_

    Cgof swgrc rczrcsckxs g e`kxcre+

    Ghmgockx swgrcs gi~gps h`llcr bp msx akc i`xcrgi &sa xfgx xfck`lp`kn xfcarce egp gzzip= g $ g. 5 7

    Lar 2%|gr`gbic D%egzs xfcrc ~`ii bc lar e`kxcrs ; 2[258+

    Lar 2%|gr`gbic ogsc &c+n+= |gr`gbics g)b) xfc egz ogk bc hrg~kgs=

    g.b.

    g.b

    gb. gbg

    b

    e: e7

    e2 e?g

    b

    AR

    _asroc= Earr`s Egka 8xf c

  • 8/14/2019 kmap by uk..

    13/19

    2%\GR@GBIC D%EGZ_

    Xrsxf xgbic oarczakh`kn

    |gisc al e`kxcre++

    G B e`kxcre

    : : G B5 e:

    : 7 G B 5 e7

    7 : G B5 e27 7 G B 5 e?

    B

    : 7

    : GB GBG

    7 GB GB

    _asroc= cbaads lrae Naanic+

    sor`bh+oae

  • 8/14/2019 kmap by uk..

    14/19

    ?%\GR@GBIC D%EGZ_

    Xfcrc grc 6 e`kxcres lar ? |gr`gbics &g) b) o+ Xfcrclarc) xfcrcgrc 6 ociis `k g ?%|gr`gbic D%egz+

    gb.o. gb.og

    b

    gbo gbo.

    g.b.o.

    g.b.o g.bo g.bo.:

    7

    :: :7 77 7:

    o

    gbo

    ARe8 e3g

    b

    e> e