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ECESampleMT2solutions

ECESampleMT2solutions - ECE Scournow 261 Name Sp 2007 1...

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Unformatted text preview: ECE Scournow: 261 Name: Sp. 2007 1. EXAM 2 (Closed book, closed notes. You are allowed 2 single-sided sheets of notes. Show your Work and write the answer in the space provided) Perform the following arithmetic operations: (24 prs.) (a) 43+ (-22) and (b) 19- 31 in binary using: (i) 8-bit signed 2’complement and (ii) 8-bit signed 1’s complement representation Cam, ) 43 OOIOIOII 22 OOOlOllO - [IDIO‘IO ~22 [1101010 fizz-1 >45 OOOiOiOl (ZSCDMPL'EMEMT) OO\ 'Dlsexrvo _22_ H I OI were! : 2,| (its @ngmm) ('30 43 : oomxou ~21: [ilOiOO\ f @«0 0mm ’0? i OOoloi0i 1’? 2—l (B)({ [9: OOOlOOll 31 oootll\\ (fcbmgfimwfl lllOOoO\ v31; lilooaol FM (3 EMW) l Gom?L 3 3 @019 OOOiOOH '- wo g—‘L -—3\‘. \[100000 If 11 Ill :00\\ W.————--‘ 2. Design an adder that adds two 2-bit numbers (A1 A0) and (B1 B0) and produces the sum (82 SI 80) by going through the following steps: (Note that the inputs to the adder are A1, A0, B1, BI) and the outputs are 82, 81, SO) a) Construct the tmth table for the adder. (10pm) B1 E0 5 I A\‘"—'7 5L A9 A 5'. [8.47 Kg“? ~52: 812'Algi +A|AOEU+AOK1K° (8 PIS-J 3. a) Design a 3-to~8-line decoder with inputs A2, A1, A0 and outputs D0, D1, ....D7, by writing the equations for the outputs and then draw the circuit. (12 pts.) A; "’"—" D4. AI —- A—Q __ A54)“ Do Al __,,__—-‘ A1; b) Use the decoder you designed in part (a) to construct a S—to—l-linc multiplexer with inputs 10,11, 12, ...,I7, select inputs 82, SI, SO and output Y. (12pm) 4. A sequential circuit has 2 SR flip-flops A and B, one input X and one output Z. The inputs to the first flip-flop are S A and RA and its output is A. The inputs to the second flip flop are $3 and RB and its output is B. the circuit is described by the following equations: SA : B RA: BI .___...__ SB: AX+A’X’ = A 9 X RB= AX’+A’X = Aex Z = A’B’X + AB’X’ + A’BX’ + ABX (Notation: x’ denotes the complement of x) Derive the state table and state diagram of the circuit. (24 pts.) "XT UT Pu P1155347; men—L gl‘K-(rg .l “SCFATE— O T 5mm: f ‘ 1. A 3 5A RA A 55 i E 2— l O \OOOlOO‘ ‘OloIOIO‘U llO\QlO\oO I‘llO\lOl| 1/! 0/0 m 00 Ol x/O ...
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