課程名稱︰數位電子與數位電路 課程性質︰必修 課程教師︰賴飛羆 開課學院：電資學院 開課系所︰資工系 考試日期（年月日）︰2012.1.12 考試時限（分鐘）：120分鐘 是否需發放獎勵金：是 （如未明確表示，則不予發放） 試題： 1. Please demonstrate the read operation of a 6-T CMOS memory cell in Figure 1(a) and draw the waveforms on D_1, D_2, BL, BL according to the wordline and percharge signals in Figure 1(b) during a read operation. Figure 1(a)：http://i.imgur.com/HmBYOh.jpg Figure 1(b)：http://i.imgur.com/TkYLy.jpg 2. The NMOS transistor has an oxide thickness of 40nm, L = 1μm, W = 20μm, μ_n = 500(cm^2)/V‧S and V_TN = 1v. (a) What are C_GC, K_n and the saturation region current i_D for this transistor if V_gs = 4V ? (b) What are the new values of CGC, K_n, V_TN, V_gs and i_D if the technology is scaled by a factor of 2 ? 3. The full-adder circuit adds three 1-bit binary numbers A, B, C_in and outputs two 1-bit binary numbers, a sum S and a carry C_out: (a) What is the logic function at the output S and C_out? (b) Design a CMOS logic gate in transistor level that implements the above logic function. (c) Determine the W/L ratios of all the transistors so that the output will be equivalent to (2/1). 4. Please indicate what does each voltage range represent for according to the voltage transfer characteristic (VTC) for the inverters in Figure 2. Figure 2：http://i.imgur.com/y3it6h.jpg 5. (a) Find the Q-point for the transistor in Figure 3 if R = 5OkΩ. Assume that K' = 4OμA/(V^2) and V_TP = -0.75V, γ = 0 and W/L = 20/1. (b) What is the permissible range of values for R if the transistor is to remain in the saturation? Figure 3：http://i.imgur.com/8dNcKh.jpg 6. Table 1 shows the truth table for code conversion example. Please simplify the functions w, x, y and z of output excess-3 code. ┌───────┬─┬──────────┐ │ Input BCD │ │Output Excess-3 code│ ├─┬─┬─┬─┼─┼─┬─┬─┬─┬──┘ │Ａ│Ｂ│Ｃ│Ｄ│ │Ｗ│Ｘ│Ｙ│Ｚ│ ├─┼─┼─┼─┼─┼─┼─┼─┼─┤ │０│０│０│０│ │０│０│１│１│ │０│０│０│１│ │０│１│０│０│ │０│０│１│０│ │０│１│０│１│ │０│０│１│１│ │０│１│１│０│ │０│１│０│０│ │０│１│１│１│ │０│１│０│１│ │１│０│０│０│ │０│１│１│０│ │１│０│０│１│ │０│１│１│１│ │１│０│１│０│ │１│０│０│０│ │１│０│１│１│ │１│０│０│１│ │１│１│０│０│ └─┴─┴─┴─┴─┴─┴─┴─┴─┘ 全部圖片：http://imgur.com/a/2zF7F --

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