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14. Introduction to Digital Logic Families 14.1 14.2 14.3 14.4 14.5 14.6 Digital Logic Gates nMOS Logic Families Dynamic MOS Logic Families CMOS Logic Families TTL Logic Families ECL Logic Families 1 EE3601-14 Electronics Circuit Design 14.1 Digital Logic Gates •Basic logic gates are summarized below. Note that logic circuits are represented in the forms :•1. Logic Symbol •2. Logic Equation •3. Truth Table •4. Timing Diagram symbol and eqation Buffer A QA A truth table Q 0 0 1 1 output is the same as input alternate gate timing diagram A 1 0 Q 1 0 t t Parallel Input OR \ AND A Inverter A A QA output is the reverse of input Q 0 1 1 0 1 0 Bubbled Buffer t Q 1 0 EE3601-14 Electronics Circuit Design QA A A A A QA t Parallel Input NOR \ NAND 2 A OR A B Q A +B output is '1' if '1' is present at any input A B Q 0 0 1 1 0 1 0 1 0 1 1 1 t B Bubbled NAND t Q t A NOR A B Q A +B output is '0' if '1' is present at any input A B Q 0 0 1 1 0 1 0 1 1 0 0 0 t B Bubbled AND t Q EE3601-14 Electronics Circuit Design t 3 A A B AND QA B output is '0' if '0' is present at any input NAND A B QA B output is '1' if '0' is present at any input t A B Q B 0 0 1 1 0 1 0 1 0 0 0 1 Q A B Q 0 0 1 1 0 1 0 1 1 1 1 0 Bubbled NOR t t A t B Bubbled OR t Q t EE3601-14 Electronics Circuit Design 4 A EX-OR A B Q A B Q AB AB output is '0' if the inputs are equal A B Q 0 0 1 1 0 1 0 1 0 1 1 0 AND \ Bubbled AND t B t Q A B Q AB AB t A EX-NOR A B Q A B Q A B A B output is '1' if the inputs are equal A B Q 0 0 1 1 0 1 0 1 1 0 0 1 OR \ Bubbled OR t B t Q t EE3601-14 Electronics Circuit Design A B Q A B A B 5 14.2 nMOS Logic Families nMOS and pMOS, how they works pMOS will open or Qp (off) when VGS ≥ 0 (zero or positive) 5V V =0 +5 V GS S QP (off) G 5V V GS V >0S G D D G 5V QP (off) QP (off) D D D D -5V QP (on) G 0 Qn (on) 0V S +5 QP (on) G D D D D D S S Qn (off) 0V =0 V 5V Qn (off) G S S V 0 0V V =-5 S +5 V GS D G ≤0 nMOS will conduct or Qn (on) when VGS > 0 (high) VG S 5V -5V S V 0V =-5 S S VG S +5 VG =+ 5V 0 S Qn (on) S =+ S S G VG VG Qn (on) 0V 0 pMOS will conduct or Qp (on) when VGS ‹ 0 (negative) 0 Qp (on) +5 Qn (off) nMOS will open or Qn (off) when VGS ≤ 0 (zero or negative) EE3601-14 Electronics Circuit Design nMOS NOR gate, how it works nMOS “NOR” gate VDD VDD Qn1 Output Qn1 Qn2 A Output Qn3 B A Qn2 B Qn3 Whenever Gate is 1(>0) Qn will conduct (=on) Whenever A or B is 1 Qn will conduct (=switch will close) Whenever Gate is 0(=0) Qn will open (=off) Qn1 Gate is always 1(=Vcc) and will be on all the time acting as a resistance to pass the current for any of the two transistors below A B Qn2 Qn3 Output A 0 0 1 1 0 1 0 1 off off on on off on off on (=VDD)1 (=0) 0 (=0) 0 (=0) 0 B Output Any logic 1 present at input, output is zero = NOR logic EE3601-14 Electronics Circuit Design 7 Example: Draw nMOS “Inverter” gate and show how it works A Output VDD VDD Qn1 Qn1 Output Output Qn2 A A Qn2 Whenever A is 1 Qn2 will conduct (=switch will close) Qn1 Gate is always 1(=Vcc) and will be on all the time acting as a resistance to pass the current for transistor below A Qn2 Output 0 1 off on (=VDD)1 (=0) 0 EE3601-14 Electronics Circuit Design Example: Draw nMOS “OR” gate and show how it works A Output B VDD VDD VDD VDD Qn4 Qn4 Qn1 Y Output Qn1 Output Qn5 Y Qn2 A B Qn3 Y Qn5 Qn3 B A Qn2 Whenever A or B is 1 Qn will conduct (=switch will close)or Y=0 When Y is 0 Qn5 will open (=switch will open)or Output=1 When Y is 1 Qn5 will conduct (=switch will close)or Output=0 A 0 0 1 1 B 0 1 0 1 Qn2 off off on on Qn3 Y Qn5 off on off on (=VDD)1 (=0) 0 (=0) 0 (=0) 0 on off off off Output (=0) 0 (=VDD)1 (=VDD)1 (=VDD)1 A B Any logic 1 present at input, output is 1 = OR logic EE3601-14 Electronics Circuit Design Y Output nMOS NAND gate, how it works VDD VDD Qn1 Qn1 Output Output Qn2 A A Qn2 B Qn3 Qn3 B Whenever A or B is 1 Qn will conduct (=switch will close) A B Qn2 Qn3 0 0 1 1 0 1 0 1 off off on on off on off on Output (=VDD)1 (=VDD)1 (=VDD)1 (=0) 0 A B Any logic 0 present at input, output is 1 = NAND logic EE3601-14 Electronics Circuit Design Output 14.3 Dynamic MOS Logic Families When power consumption and physical size are prime design consideration, as in digital watches and calculators, Dynamic MOS logic is the one to meet those requirements. Power consumption is minimized by relying on the inherent capacitance of MOS transistors to store logic levels (to remain charged or discharged) and by using clock signals to turn on transistors for very brief interval of time only. nMOS gate with Substrate grounded, is a fundamental component of Dynamic logic circuits. It is completely symmetrical Drain and Source terminals are indistinguishable. Current can flow in either direction through the device. They can be named terminal 1 and 2 and C1 and C2 are the capacitance at each terminal. 1 2 C1 C2 G EE3601-14 Electronics Circuit Design Dynamic MOS, how it works * When “G” is low nMOS will be off and no current will pass through it 1 1 2 C1 Hi Or Low C2 2 C1 Hi Or Low C2 G G When G is Lo nMOS is off no matter what the level of C1 or C2 is C1 discharges into C2 transfering the Hi from 1 to 2 1 Hi 2 Lo C2 discharges into C1 transfering the Hi from 2 to 1 Lo 1 2 + Hi + 0 G S> C2 >0 G C1 S V C2 VG C1 G Hi Hi When both C1 and G are Hi When both C2 and G are Hi * When “G” is high nMOS will be on and Hi will pass through it to Lo capacitor EE3601-14 Electronics Circuit Design Dynamic MOS Inverter , how it works Whenever Gate of nMOS is 1(>0) Qn will conduct (=on) Then transfer of charge Lo or Hi from one terminal to other terminal will take place Whenever Gate of nMOS is 0 (=0) Qn will open (=off) There will be no transfer of Lo or Hi from one terminal to the other Vin 1 0 You have to use 2 clocks to invert 0 to 1 F1 VDD Qn1 F1 F2 Qn3 You have to use 2 clocks to invert 1 to 0 at t1 F1= 1 then Vin(=Lo) will be inverted at VC1 (=Hi) Output Qn2 C1 C2 VC1 at t2 F2= 1 then VC1 (=Hi) will be transferred to VC2(=Hi) Vin F2 Whenever F1 = 1 C1 will be invert of Vin Whenever F2 = 1 C1 and C2 will transfer Hi from one another at t3 F1= 1 then Vin(=Hi) will be inverted at VC1 (=Lo) VC2 1 VDD F1 t1 Qn2 C1 t3 t4 Output Qn3 Vin t2 at t4 F2= 1 then VC1 (=Lo) will be transferred to VC2(=Lo) F2 Qn1 0 C2 EE3601-14 Electronics Circuit Design 13 Dynamic MOS - NOR , how it works VDD VDD Qn1 F1 F1 Qn4 F2 Qn1 Output Qn3 Qn2 A C1 B C2 Output Qn4 A Qn2 B Qn3 C1 C2 F2 Whenever F1 = 1 C1 will be NOR logic of A,B Whenever F2 = 1 C1 logic will transfer to C2 Input any 1 present Output = 0 F1 F2 After 2 clocks EE3601-14 Electronics Circuit Design 14 Dynamic MOS - NAND , how it works VDD VDD Qn1 F1 F1 Qn4 F2 Qn1 Output Qn2 A C1 C2 Output Qn4 A Qn2 B Qn3 C1 C2 F2 Qn3 B Whenever F1 = 1 C1 will be NAND logic of A,B Input any 0 present Output = 1 Whenever F2 = 1 C1 logic will transfer to C2 F1 F2 After 2 clocks EE3601-14 Electronics Circuit Design 15 HW on Dynamic MOS 1(a) Dynamic MOS circuit shown below, what are the logic obtained at points K,L,M and Output after F1 and after F2? Fill up the logics (1 or 0) in the following table. (b) What is the overall logic that can perform by this given circuit? (c) Draw equivalent switching circuit and logic symbol of this circuit. A B 0 0 0 1 1 0 1 1 K after L after F1 M after F2 F1 Output After F2 VDD VDD F1 Qn1 F1 Output M K L F2 A F2 B EE3601-14 Electronics Circuit Design 16 14.4 CMOS Logic Families nMOS has disadvantage having delay when switch on and off due to one upper nMOS acting as resistive load when output changing from Lo to Hi and also lower nMOS acting as small R when output changing from Hi to Lo. See below. VDD VDD R charge discharge Output Output Input Hi Lo Hi Input C C Hi no delay delay Lo no delay r Lo delay nMOS Inverter produce delay at the output EE3601-14 Electronics Circuit Design CMOS has no or little delay when switch on and off due to one upper pMOS acting as switch when output changing from Lo to Hi and also lower nMOS acting as switch when output changing from Hi to Lo. See below. Switch but no R VDD=1 VDD=1 Qp Qp charge Output 1 Hi 0 Input Hi Lo Input C Qn 1 Hi Lo no delay discharge Output Qn Hi 0 C No R Lo Lo No delay CMOS Inverter produce no significant delay at the output due to switching property of both MOSFET EE3601-14 Electronics Circuit Design CMOS - Inverter , how it works VDD VDD Whenever A is 0 VGS of Qp < 0 (Qp=on) and VGS of Qn =0 (Qn=off) then Output=VDD Qp A=0 Output VDD A=0 Qn Output A VDD Qn Whenever A is 1 VGS of Qp = 0 (Qp=off) and VGS of Qn > 0 (Qn=on) then Output=0 A=1 A Output 0 1 VGS(p) Qp <0 on =0 off EE3601-14 Electronics Circuit Design VGS(n) =0 >0 Qn Output off on (=VDD)1 Qp Output 0 A=1 A Qp Qn (=0) 0 19 CMOS – NAND gate , how it works VDD QpA VDD Gate of Qp = 0 (Qp=on) QpB Gate of Qp > 0 (Qp=off) Output Qn is in series and Qp is in parallel = NAND QnA A Gate of Qn > 0 (Qn=on) QnB Gate of Qn = 0 (Qn=off) B VDD A=0 QpA B=0 VDD A=0 QpA QpB B=1 B=0 QnA QnB A=1 QpB Output =1(VDD) A=0 QpA B=0 Output =1(VDD) A=0 B=1 VDD VDD QnA QnB A=1 QpB QpA B=1 QpB Output =0 Output =1(VDD) A=1 B=0 When zero is present at any Input, Output will be 1 QnA A=1 QnA QnB B=1 QnB When 1 present at both Input, Output will be 0 EE3601-14 Electronics Circuit Design 20 CMOS – NOR gate , how it works VDD Gate of Qp = 0 (Qp=on) QpA Gate of Qp > 0 (Qp=off) QpB Qn is in Parallel and Qp is in series = NOR B QnA Gate of Qn > 0 (Qn=on) Output QnB Gate of Qn = 0 (Qn=off) A VDD A=1 B=1 VDD QpA A=1 QpB B=1 QpA A=0 QpB Output =0 A=1 QnA B=1 QnB B=1 QpA B=0 QnB A=0 QpB Output =0 A=1 QnA VDD VDD B=0 QpA QpB Output =1(VDD) Output =0 A=0 QnA When 1 present at any Input, Output will be 0 A=0 QnA B=1 QnB B=0 QnB When 0 present at both Input, Output will 21 be 1 EE3601-14 Electronics Circuit Design 14.5 TTL Logic Families Transistor – Transistor Logic (TTL) Advantage of TTL logic circuit is that input current is zero at high (5V) input and it is reverse at low (0V) input. Because of this many TTL gates can be fan-out to output of one gate. TTL Inverter gate , how it works A=1(5V) Q1 1. A = 1 (high = 5V) then (VBE1 = 0) A=0 Q2 A Q1 Q2 Y 0 (0V) on off 1 (5V) 1 (5V) off on 0 (0V) IC2RC2=0 Y=1(5V) Q2 IC1=-IB2 1. A = low = 0V then 2. Q1 opens 2. Q1 conducts 3. But PN junction current from Base to Collector of Q1 (ID1 = IB2 flows) 4. Q2 conducts and produces = IC2RC2 drop 3. IB2 flows out of Q2 5. If RC2 is chosen so that IC2RC2 drop = 5V then Y=0 6. A = 1 is inverted to Y = 0 EE3601-14 VCC=5V Q1 E+ Y=0 ID1=IB2 IC2=0 IB1 IC2RC2=5V VB E= 0 IB1=0 IC2 -VB VCC=5V (VBE1 = 0.7V) 4. Q2 opens then IC2RC2 no drop 5. Y = 1 (high= 5V) 6. A = 0 is inverted to Y = 1 Electronics Circuit Design 22 TTL Inverter gate (open Collector) , how it works A=0 Y=F (Floating) Q2 IC2 IB1=0 A=1(5V) Q3(off) IC1=-IB2 ID1=IB2 0 Q1 VCC=5V IC2=0 E= -VB E+ IB1 VB VCC=5V Q3(On) E+ -VB Q1 Q2 Q3 Y 0 (0V) on off off F (Float) 1 (5V) off on on 0 (0V) - A E A=0 IC2RE2=0.7V VB + 0 = E VCC=5V Y=0 Q1 VB IC2RE2=0V Q2 VCC=5V IB1 Q1 IC2=0 R=pull up resistor Q2 Q3(off) IC1=-IB2 VB A Q1 Q2 Q3 Y 0 (0V) on off off 1 (5V) 1 (5V) off on on 0 (0V) 0 = E IC2RE2=0V Y=1(5V) EE3601-14 Open Collector output (= 0V or 5V) with external pull up resistor Electronics Circuit Design TTL –NAND gate (open Collector), how it works VCC=5V VCC=5V A=0 B=0 A=0 B=1 -VB E+ IB1 A=1 B=0 Q1(on) IC2=0 Q2(off) Q3(off) IC1=-IB2 Y=1(5V) VB When Zero present at any input R=pull up resistor 0 = E IC2RE2=0V VCC=5V BE = 0 VCC=5V IC2 Q1(off) Q2(on) V A=1 B=1 ID Q3(on) Y=0(0V) VB ID=IB2 R=pull up resistor 7 0. = E When One present at both input IC2RE2=0.7V A B Q1 Q2 Q3 Y 0 0 on off off 1 (5V) 0 1 on off off 1 (5V) 1 0 on off off 1 (5V) 1 1 off on on 0 (0V) EE3601-14 Electronics Circuit Design TTL –NAND Totem pole gate, how it works VCC=5V IB3=0 A=0 B=0 A=0 B=1 Q1(on) -V BE + IB1 A=1 B=0 Q4(on) Q2(off) Y=1(5V) IC1=-IB2 VB When Zero present at any input Q3(off) This gate works faster because of Q4 When it is “on” has no resistive delay. Q4 Acts as a switch (no delay) E 0 = IC2RE2=0V VCC=5V IC2 ID=IB2 Q1(off) =0 Q2(on) V BE A=1 IB3=0 Q4(off) Y=0(0V) Q3(on) VB B=1 When One is present at both input 7 0. = E IC2RE2=0.7V Diode at the Emitter of Q4 When it is “on” has an extra drop of 0.7V so that Base of Q4 is 1.4V higher than Y which will secure Q4 not to conduct when Q3 is “on” A B Q1 Q2 Q3 Q4 Y 0 0 on off off on 1 (5V) 0 1 on off off on 1 (5V) 1 0 on off off on 1 (5V) 1 1 off on on off 0 (0V) EE3601-14 Electronics Circuit Design TTL –OR gate, how it works VCC=5V A=1 Q1 (off) B=1 A=1 Q1 (on) Q3 IC5 (on/off/on) Q2 Q4 (on/on/off) Q1 (off) B=1 1. Q1 or Q2 is “off” when A or B is 1 (5V) 2. when Q1 or Q2 is “off” Q3 or Q4 is “on” Q7(on) B=0 Q2 (off) IB7 IB6=0 Q6(off) Q5(on) Q2 (on) VB Q2 (off) A=0 Q1 Q8(off) 3. Whenever Q3 or Q4 is “on” VBE of Q5=0.7V 4. when VBE of Q5=0.7V,Q6 or Q8 is “off” and Q7 is “on”making output Y=1(5V) 5. Then when A or B is 1 (5V) output Y=1(5V)ÞOR gate 0 = E IC6RE6 =0V IC5RE4 =0.7V Y=1(5V) VCC=5V IB6 Q1(on) IC2 Q3(off) IB7=0 A=0 When “Zero” is present at both input Q6(on) Q2(on) Q4(off) VB Q8(on) 3. Whenever Q3 and Q4 are “off” VBE of Q5=0V 4. when VBE of Q5=0V,Q6 and Q8 are “on” and Q7 is “off”making output Y=0(0V) 7 0. = E IC6RE6 =0.7V IC5RE4 =0V 2. when Q1 and Q2 is “on” Q3 and Q4 are “off” Y=0(0V) Q5(off) B=0 1. both Q1 and Q2 is “on” when A or B is 0 (0V) Q7(off) 5. Then only when A and B is 0 (0V) output Y=0(0V)ÞOR gate A B Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Y 0 0 on on off off off on off on 0 (0V) 0 1 on off off on on off on off 1 (5V) 1 0 off on on off on off on off 1 (5V) 1 1 off off on on on off on off 1 (5V) EE3601-14 Electronics Circuit Design TTL –EXOR gate, how it works 1. A to Q7 Emitter and B to Q7 Base are both inverters 2. If A and B are both 1 or 0 , Q7 Emitter and Q7 Base will be both 0 or 1 3. When Q7 Emitter and Q7 Base are both 0 or 1, VBE (Q7) = 0 making Q7 off. 4. When Q7 off, Q8 also off. making Q9 Base High = 1, 5. Q9 base to output Y is inverter therefore Y = 0 6. If Y = 0 when two inputs A and B are equal it is (EX-OR LOGIC) 7. But when A=1 and B=0, Q7 Emitter=0 and Base=1 making Q7 to conduct and then Q8 to conduct. Then Q9 Base Low = 1, and Y=1 8. But when A=0 and B=1, Q7 Emitter=1 and Base=0 making Q7 to off but EE3601-14 then Q8 to conduct. Then Q9 Base LowElectronics = 1, and Y=1 Circuit Design 27 TTL Device Listings Type Number Description 7400 Quad 2-input NAND 7401 Quad 2-input NAND open collector 7402 Quad 2-input NOR 7403 Quad 2-input NOR, open collector 7404 Hex inverter 7405 Hex inverter, open collector 7406 Hex inverter, open collector to 30 (V) 7407 Hex buffer/driver, open collector to 30 (V) 7408 Quad 2-input AND 7409 Quad 2-input AND, open collector 7410 Triple 3-input NAND 7411 Triple 3-input AND 7414 Hex Schmitt-tngger inverters 7420 Dual 4-input NAND 7421 Dual 4-input AND 7427 Triple 3-input NOR 7430 8-input NAND 7432 Quad 2-input OR 7486 Quad 2-input XOR EE3601-14 Electronics Circuit Design 28 14.6 ECL Logic Families •The Emitter Coupled Logic (ECL) family operates at the highest speed of all of the logic families studied in this text. •This happens because none of the transistors are operated in saturation. •Since propagation delays of 1 to 2 ns are achievable, ECL is useful in highspeed applications such as radar signal processors, computers, and data transmission. •There are fewer chips in the ECL family than in TTL Differential Amplifier •When one source voltage is larger than the other, the transistor associated with that higher voltage will be ON and the other transistor will be OFF •ON transistor will have low collector voltage and the OFF transistor will have high collector voltage •Therefore output voltage of the BJT with larger input source will have smaller value which is INVERTER LOGIC •But output voltage at the collector of the other BJT will have larger value in which case is BUFFER LOGIC EE3601-14 Electronics Circuit Design 29 Emitter Coupled Logic • The differential amplifier with input voltages are as follows: •Input voltage source voltage is applied to one of the transistor and the other transistor input voltage is a fixed internally generated reference voltage of (-1.3V) • Collector of the input BJT is the Inverter output and the collector of the other BJT is the Buffer output •Logic level of the ECL is (-0.9V) for logic high •Logic level of the ECL is (-1.7V) for logic low EE3601-14 Electronics Circuit Design 30 When Input logic is high ( -0.9V) 3. When VB1 = -0.9V (high) 1. VB1 = -1.3V reference 4. VB1X= -0.9-(-5.2) = 4.3V 5. But VB2X= -1.3-(-5.2) = 3.9V 2. -Vcc = -5.2V at point “X” 6. VB1 > VB2 then Q1 will be ON making VBE1=0.8V 7. VR3=4.3-0.8=3.5V 8. Therefore VBE2=3.9-3.5=0.4V (cutoff Q2VBE < 0.5V) 9. Q2 will be OFF = VC2 is high = Buffer Output 10. Q1 will be ON & VC1 is low = Inverter Output due to drop at R1 EE3601-14 Electronics Circuit Design 31 When Input logic is low ( -1.7V) 10. VC2 is low due to drop at R2 3. When VB1 = -1.7V (low) 1. VB1 = -1.3V reference 4. VB1X= -1.7-(-5.2) = 3.5V 5. But VB2X= -1.3-(-5.2) = 3.9V 2. -Vcc = -5.2V at point “X” 6. VB1 < VB2 then Q2 will be ON making VBE2=0.8V 7. VR3=3.9-0.8=3.1V 8. Therefore VBE1=3.5-3.1=0.4V (cutoff Q1 VBE< 0.5V) 9. Q1 will be OFF = VC1 is high = Inverter Output 10. Q2 will be ON & VC2 is low = Buffer Output due to drop at R2 EE3601-14 Electronics Circuit Design 32 Four-input ECL OR/NOR logic gate 0V Emitter Follower -0.1 Differential Amplifier -0.1 -0.9 -0.9 -1.3V -0.9(high at C ) -0.9(high) -1.7V(low) -5.2V If any of the input A or B or C or D is high, Q5 will be OFF making less drop at RC2 EE3601-14 Electronics Circuit Design 33 Two-input ECL OR/NOR logic gate 0V Emitter Follower Differential Amplifier -0.9 -0.1 -0.1 -0.9 -0.9(high) OR -1.7V(low)NOR -1.3V -5.2V -0.9(high) If any of the input A or B is high, Q3 will be OFF making less drop at R5 EE3601-14 Electronics Circuit Design 34 ECL Device Listings Type Number Description 10100/10500 Quad 2-input NOR with strobe 10101/10501 Quad OR/NOR 10102/10502 Quad 2-input NOR 10103/10503 Quad 2-input OR 10104/10504 Quad 2-input AND 10105/10505 Triple 2-3-2-input OR/NOR 10106/10506 Triple 4-3-3-input NOR 10107/10507 Triple 2-input exclusive OR/exclusive NOR 10109/10509 Dual 4-5 input OR/NOR 10110 Dual 3-input 3-output OR 10111 Dual 3-input 3-output NOR 10113/10513 Quad exclusive OR 10117/10517 Dual 2-wise 2-3-input OR-AMD/OR-ANDinvert 10118/10518 Dual 2-wide 3-input OR-AND 10119/10519 4-wide 4-3-3-input OR-AND 10121/10521 4-wide OR-AND/OR-AND-invert 10123 Triple 4-3-3-i bus driver EE3601-14 Electronics Circuit Design 35