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Unformatted text preview: A3 1 15 points Consider the CMOS logic gate shown at right. 5 pts (21) Write the Boolean expression 12D
that describes the operation of the circuit (i.e., _0
Y in terms of the four inputs A, B, C and D). A Ms MewD a Imam I
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Y Y
awe Y: A.p.(B+Z) 5%KM4
Y = 34. + A + D
10 pts (b) Determine the minimum size
required for each transistor if this gate is to D M3
have propagation delays that are no longer 1'
than a minimumsize symmetric CMOS
inverter. Assam/<44 = 2.5)“? . A B M‘ M l
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I I “j arc, 2, PMOS ale/urges lvx Sabres . “ﬂaapsfe ‘ J at: ; ﬂavprxxﬁéﬁ M (at: are (ebgztaa <95); =75 A4 2 10 points Brieﬂy explain why the CMOS logic gate shown below will not work
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Y = Z + B(C +5) given the four inputs A, B, C and D. \!
1i A6 4 20 points Consider the ampliﬁer shown below and assume that CIN and COUT are large
coupling capacitors, CE is a large bypass capacitor, ﬂ = 100, VT: 26mV, VCC = 10V, R1 =
6.7kQ, R2 = 3.3kQ, R5 = IIkQ, RE = 1kg, RC = 1kg and RL = 1kg). 2 pts (a) What is VBB? (I want a number, not an equation). V33“: R v : 33v (av) [2,»: l2; ‘5’ ,__———::_.—' 1 pt (b) Assuming you can ignore [3, What is VB? (I want a number, not an equation)
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1 pt (c) What is VE? (I Want a number, not an equation) VExvg~a7 22,49! (Lav) 2 pts (d) What is 1C? (1 want a number, not an equation) m :VE. __ aev ._._
I“. IE E;  ﬁlm ZAMA (llgmA) 1 pt ((1) What is VC? (I want a number, not an equation) I
V¢:V%~:&R¢=10—2,ev =' 7H\/ (3,7\/)
1 pt (e) Is Q1 in the forward active region of operation? (yes or no) \ EET Ts 13$ alt/Jacks 4294‘ ‘l’Lai‘s #0993966 a, 7;? (tiff/5 VO> V3 inf/(Tc: 5:0 35'3 is 93, J .r', Qﬂs FA) 3% A7 7 pts (f) Draw the equivalent circuit necessary to ﬁnd the smallsignal midband AC
voltage gain (Va/vi) and then ﬁnd it. Ignore r0. I want a number, but clearly indicate what you are doing or you will not receive full credit. {2104124 gs MB AC. eqoi‘xmfcmi c.5433? 7 ’UL' D0
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in" “L " 5'0 A8 3 pts (g) What is the smallsignal midband AC input resistance, R,? (I want an equation,
but provide all the numbers needed to plug into the equation — you just don’t need
to do the arithmetic to ﬁnd the ﬁnal answer) Q°ZAQNQLHF F1A: 55—19:)ka a ﬁr"
L l Tr 8M , {XAMB PW: 34A R5: ZkHZngk 2: “75233.11” 2 pts (h) What is the small—signal midband AC output resistance, R0? Assume that r0 =
100 kg and give me an approximate answer. (I want a number, not just an equation) glazer as Q; \m gXAM g 15 4mg sou/He; A9 5 20 points Consider the ampliﬁer shown below and assume that CIN and COUT are large
coupling capacitors, CE is a large bypass capacitor, VCC = 10V, R1 = leQ, R2 = leQ,
R5 = 6kg, RE = 10kg), rﬂ= 6kg), r1, = 1009, r0 = lOOkQ, RC = lOkQ, RL = 10kg,
Cﬂ=1pf, and Cﬂ= SpF. 5 pts (a) Draw the high—frequency smallsignal AC equivalent circuit. A10 15 pts (b) Find an approximate equation for (00H and provide all the numbers necessary
to plug in and get a value — but you do NOT need to do the arithmetic. Clearly
indicate what you are doing or you will not receive full credit. Show how to check any approximations you make. 694MB 7 a
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a page) ‘M/tc Mllld‘aﬁPﬁgx A11 6 15 points Consider the six—transistor SRAM cell shown below and assume that
VD = VDD = 3V. In order to read the value stored in the cell we ﬁrst precharge the bit
lines to VDD/2 = 1.5V. Then, at t = O, we set the word line high (VWL = 3V) to turn on M1
and M2. Ignore body effect and assume that Kn = 100uA/V2, Vt}, = 0.5V and C32 = 4pF. 2 pts (21) What region of operation is M2 in at t = 0+? Earle Tait“? a v”! 3 pts (b) Which end of M2’s channel (left or right) is acting as the source at t = 0+?
‘ l
@3ch r 10 pts (c) Assuming that the current through M2 stays approximately constant at its value
at t = 0+, use chargecontrol analysis to derive an equation for how long it will
take the voltage on the righthand bit line, vBL, to increase by 250mV (I have
changed to using the total value, VBL, instead of the DC value, V32, because we are
now dealing with a transient situation). Assume that vD = 3V during the entire
read operation and that the inverter can source whatever current is necessary. Ignore all capacitances except for CBL. Make what you are doing clear or you will
not receive full credit. More room is available on the next page. t 492 : Kwaiwh) i 1&5:wa Us: t’ W 5) C09“): 309%
ACQCEL Z CgLA\/BL.: 69F>011g 1 lPC. f(AVeL15g‘9MV>/E AQC'BL : l—Eé :: lOnS A13 7 20 points Consider the commonemitter emitterfollower cascade shown below. 5 pts (a) Derive an equation for the small—signal midband AC resistance seen looking into the base of Q2, R12. Make what you are doing clear or you will not receive full credit. K . t i“.
Dams impcciamca. We. iacy’nm : 5 pts (b) Derive an equation for the smallsignal midband AC output resistance of
the ampliﬁer, R0. State any assumptions you make. Make what you are doing clear or you will not receive full credit. ! mp? {
Assume, (\Di 5) 0M0? 05¢: tmpmaﬁwm» [\zi’. Esra“newt :_ 2. 9 124+ pﬁ'Z \
Po QELLK ﬁg}, / A14 5 pts (c) Derive an equation for the smallsignal midband AC voltage gain of the emitter follower, vo/vcl. Make what you are doing clear or you will not receive full credit. 057% imoeAcMcc, l‘ﬂFClQ‘;"[email protected]/L agate/.24 [lu— : @30CEE2J12L)
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(MW/gin) (ﬂ Jr C l v Dl‘) Uélva +111. T'Maolél A15 5 pts ((1) Brieﬂy explain the purpose of the emitter follower stage. Qél>12¢v ‘99 “H4; EAIH a"? 444:.
Jar 5% F5 mo‘l’ Aowﬂ. Rt, 4 EL go «Hair (X0 Cam Ea closaécs 1., k It”; dose. ‘9: (ﬁx/tea. $0 (ac: (Lo/CL Log; (UH f. m BF é+é~8ﬁ boars CE 60 Lao Can» CLNUCL C» émH
‘65th V58f€§¥am LoHlegﬂf SacN‘Cfciﬂa +50 MUQL} aad n . A16 8 10 points Consider the commonsource ampliﬁer shown below. Assume that V] has a
2.5V DC component, VDD = 20V, R1 = 1001(8), RD = 10kg), V”, = 0.5V, K = 250uA/V2,
Cgs = 4pF and ng = lpF. Ignoring channellength modulation, derive the upper cutoff
frequency of this circuit, may. I want both an equation and the number. Check any approximations that you make. Make what you are doing clear or you will not receive full
credit. Vim/65: 2.5V :5 : KﬁvA5~UWf =~ MA VDD
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 Winter '08
 Spencer
 Trigraph, Logic gate, CMOS logic gate, smallsignal midband AC

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