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by: Immanuel Brakus PhD


Immanuel Brakus PhD
GPA 3.66


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About this Document

Class Notes
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This 2 page Class Notes was uploaded by Immanuel Brakus PhD on Monday October 19, 2015. The Class Notes belongs to ECSE 2610 at Rensselaer Polytechnic Institute taught by Staff in Fall. Since its upload, it has received 54 views. For similar materials see /class/224782/ecse-2610-rensselaer-polytechnic-institute in ELECTRICAL AND COMPUTER ENGINEERING at Rensselaer Polytechnic Institute.





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Date Created: 10/19/15
Computer Components and Operations Crib Sheet Powers of Z 215 32768 n s 2 e 8192 2 16384 Decimal Elinary z39s Complement 57228R1 7N27N 28214R0 7N2quot717N1 1427R0 723R1 2quotrlrN0010 321R1 7N2quot717N1 7N 1011 571a 1110012 87bit7128 1271 Hexadecimal Elinary A051 1010 1011 0101 00012 EinaryAddition Ein Subtraction axe ZrB 00000 0070070 00110 070711a1 01010 07170170 01101 07171070 10010 170701a1 10101 170710a1 11001 17170070 11111 171711a1 Dual rgtltv01 rgtltv 0 Replace AND by DR Replace OR by AND Replace0by1 Replace1b Literals are left unchanged ElooleanLaws 139gtlt 1gtlt 239gtlt 00 339gtlt xgtlt 539gtlt x390 s39gtlt vv gtlt 7 xvzxvz 739gtlt v zgtlt v z 8 x vzgtlt vgtlt z 8 XV zgtltv xz 9gtltgtlt vgtlt 939gtlt xvgtlt 10 x vgtlt v39gtlt 1039gtltv xv39gtlt 11 xv39 vgtlt v 1 X2 xn39 1239gtlt1 gtlt2 xquot39gtlt39gtlt239 gtltquot39 13 FX1X2Xn01 rgtlt39gtlt239gtltn3910 14 xv x39zgtlt zgtlt39 v 1439gtlt vgtlt39 zgtltz x39v 15 x vv zgtlt39 zgtlt vgtlt39 z 1539gtltv vz x39zgtltv x39z Minterm s and Maxterm s Row x v z Minterm Maxterm 0 0 0 x39 v39 z gtlt 1 0 0 1 x39 v39 z gtltvz39 2 0 1 0 x39 v z39 XV 3 0 1 1 x39 v z gtltv39z39 4 1 0 0 x V39 z39 x39vz 5 1 0 1 x v39 z x39vz39 s 1 1 0 x v z39 x39 392 7 1 1 1 x v z x39v39z39 Minterm 1 Maxterm 0 Karnaugh Maps Parity Codes odd Paritv9 add 0 ml to data bits so total a of 1s is ODD Even Parity 9add 0 or 1 to data bits so total a f 1s is EVEN Hamming Codes Hamming distance a d a of 1s in XOR of two codewords Codeword brbabab Message bibabaxmixaxj x1 checks bits babzb for EVEN parity x2 checks bits babab for EVEN parity xa checks bits bb3b2 for EVEN parity Syndrome sysasi bit oferror s1 checks bits inpzpjx1 for EVEN parity 52 checks bits babzbsz for EVEN parity 5 checks bits bobabzxo for EVEN parity QuineMcCluskey Algorithm 0010 15 1r 23 0101 CMDS NMOS PMOS drain source gate gja source drain H e on short circuit L on short circuit L off open circuit H off open circuit Inverter Espresso input le Comment i 3 a no ofinputwriables a no ofoutput variables 000 001 truth table Command line Cgtespresso inputtgtltt Output comment i3 noofinputmriables o 3 a no of output variables p 4 a no ofrows optional 00 001 4 ba 711 100 4 b2 701 010 a bi 710 010 4 b1 2 end of output Expressions ajau ai au aiau F i bu az39au39 Computer Components and Operations Crib Sheet Latches and Flip Flops Latches a re level triggered Flip Flops are edge triggered Excitation Tables Mealy Machine A sequential circuit whose output depends on both state Cu rrent G state lO Moore Machine A sequential circuit and input whose output depends on the state alone Current state


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