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Unformatted text preview: Spmho‘ Boos EC)? 0103/0 Tm o1 / Dc, Hedi Problem 1 (12 Points):
a) Determine the IEEE single precision ﬂoating point representation of 2.875 :I‘OH/XQI W‘men’i [+197 : [000 (3000 [o 1
F1 "'~~—~———‘ is ~zn “ " M__‘__ 1 f» ‘ "wa'ﬂww "‘J":;,;v ___‘,,.._,_M.,... Answer 0000 ‘0 ‘3 i 'r 000, 0000 0000 0000 Done b) Find the value of the IEEE single precision ﬂoating point representation. 41100 0001 11101 0000 0000 0000 0000 0009
l e— {3101 WK it 1000001 1*: Igllo Sub—Wad“ [snag
+0 317+ </ _ ‘ I
frail/w Relcl its i010._5’0 ai'jnnlxmml is
NO' wrung": H0192: gag, Answer ”‘ OJ ‘1? (‘h odt, POP“
Problem 1 (12 Points): 21) Determine the IEEE single precision ﬂoating point representation of
_.  v i ‘ '1
2.125“) _ [0905‘ , LOO D, x a 5700 .QJXIDW‘ b/ la"? reset 3373 01000 c003 0001 Ccococcooccc.
19::va ac ' g u a ,
Answer—DIDQOUUQOOOI._0§_O_OODOO 0000 0000 0000 b) Find the value of the [BBB single precision ﬂoating point representation.
1100 0001 1110 0000 0000 0000 0000 0000 _TL__.__—j:___x \ “36¢?” Mfmen‘r «(my D WOODDJI'Z [3
I‘QMOV‘L baa; +0 36 4/
pﬁacﬁifcm '13 \\ Q _~ ._. Q 30 iﬂhici (NJ gs ’' H
Answer E ‘ 2 /\!><;K/ 2.111001: Q8 Problem 2 (38 Points): ), a) Draw the schematic of a ﬁll] adder using basic gates. b) Use a decoder to implement the following logic. FABC==Zm(0,2,4), GABC=AB
‘ = NSC + Ab Q {M1 (O)
F d) Fill in the truth table for a priority encoder with D1>D0>D2>D3 Problem 2 (38 Points): 0‘ (L‘i‘C‘ I (9 (LB a) Draw the schematic of a full adder using basic gates. 5) Use a decoder to implement the following logic. FABC=Zm(0,2,3), GABC=AB = A5 C "r A E C = ZMCwﬂ) OLHQAna‘giL d) Fill in the truth table for a priority encoder with D3>D0>D1>D2 D3 D2 D1 D0 3
Problem ,4 (20 Points): ' 21) Draw a schematic for a D latch using either basic gates or transmission gates. EM b) Complete the timing diagram for the following circuit. Assume that all initial stored bits are
zero. Problele (30 Points):
Consider the following logic. Inputs: A and B, Output: C. States 00, 01, 10. The
transition from State 00 to State 10 occurs when AB = 11; the corresponding output is C
= 1. The transition from State 10 to State 01 occurs when AB = 01; the corresponding
output is C = 0. The transition from State 01 to State 00 occurs when AB = 10; the
corresponding output is C = 0. The rest of the inputs cause the states to remain the same
and the output C to be 0. a) Draw a state transition diagram for this logic. Mark all the arcs with the appropriate inputs and outputs.
b) Fill in the truth table for the combinational circuit.
c) Design and draw the entire schematic for the statemachine. ‘% OX)HO
0
0
0
/ C)
L, To )lo (3an
ol 0
g g:
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b
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g. ==p
a: " . ‘4 ® <0 a i \‘QNVRR Problem 4 (30 Points): Consider the following logic. Inputs: A and B, Output: C. States 00, 01, 10. The
transition from State 00 to State 10 occurs when AB = 11; the corresponding output is C
= l. The transition from State 10 to State 01 occurs when AB = 10; the corresponding
output is C = l. The transition from State 01 to State 00 occurs when AB = 01; the corresponding output is C = l. The rest of the inputs cause the states to remain the same
and the output C to be 0.
a) Draw a state transition diagram for this logic. Mark all the arcs with the
appropriate inputs and outputs.
b) Fill in the truth table for the combinational circuit.
0) Design and draw the entire schematic for the state machine. l m
10
11
100i
11
1
11
xxll a) C: ZMOQ/S r0) Msrzmogéwl
Mg. gyro/<1 )5) ID) O 0>
0w
0 OLD
m
0 CO
0000 O
O
O 0
COO OO
O
COCO ...
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 Spring '07
 WOLF

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