Index A/D converter accuracy of, 327 advantages, 316 analog to digital conversion types, 313–322 conversion time, 327 counter type ADC, 316–319 disadvantages, 315 dual slope A/D Converter, 319–322 format of, 327 input impedance, 327 input voltage range, 327 parallel/simultaneous type, 313–314 specification of, 327–328 stability/temperature sensitivity, 328 types, 313 Addend bit, 69 Analog electronics, 2 Analog signal, 2 Analog to digital converter, 309–312 acquisition time, 312 aperture time, 312 drop rate, 312 sample and hold circuit, 310 sampling pulse, 310–312 AND gate, 17 electrical analogue, 17 from NAND gate, 38 from NOR gates, 40 truth table, 17 AND-OR logic gate, 42–43 Arithmetic and logic unit (74181), 302–305 Astable multivibrators, 206 Augend bit, 69 Augend register, 74–75 Automatic parking control system, 331–332 Average supply current, 249–250 Backup memory, 180–181 floppy disks, 180–181 magnetic tapes, 181 Bi CMOS series, 278–279 Bidirectional shift register, 224–225 Binary code, 44 Binary counter (BC), 142–143, 153, 163, 164. See also Counters Binary division algorithm, 347–350 Binary encoder. See Encoder Binary multiplication algorithm, 347–350 Binary number system, 12 Binary priority encoder. See Priority encoder Binary to gray code conversion, 45 356 Index Bipolar static R/W memory, 184 advantages of, 185 disadvantages of, 185 Bit and byte organized memory, 188–189 n Bit binary numbers, 74–76 n Bit parallel full adder, 76–77 Bits, 11 Block parity error detection and correction code (BPED and CC), 235–236 Boolean algebra, 28–29 axioms or postulates of, 29–30 Boolean expressions simplification, 31–32 definition of, 29 Boole, George, 28 Booth’s multiplication algorithm, 350–353 Cache memory, 181 Carry bit, 69 Carry look ahead adder (CLA adder), 306–309 CCD. See Charge coupled device CD-R (CD-recordable), 181 CDROM. See Compact disc-read only memory CD-RW (erasable-CD), 181 Charge coupled device (CCD), 346–347 Checksum scheme, 239–240 Chips, memory. See Memory chips CMOS, gates of, 286–287 Combinational circuits, 1, 2, 77–78. See also Digital circuits; Encoder; Multiplexer definition of, 3 input–output relationship, 121–122 vs. sequential circuit, 120 Compact disc-read only memory (CDROM), 181, 194–195 advantages of, 195 disadvantages of, 195 Complementary MOS logic (CMOS), 276–279 Completely specified logical functions, 60–61 Computer memory, 175 Constant linear velocity (CLV), 195 Counters, 141–143 applications of, 328–332 automatic parking control system, 331–332 binary counter (BC), 142–143 cascading of, 168–171 comparison of, 160 decoding error in, 153–166 design of, 144–153 lock out condition, 145–149 modulus of, 143–144 nonbinary counter, 143 square wave generation, ZCD, 329 synchronous counter, 149–153 truth table for, 161 types, 142 velocity of, 330–331 Count sequence, 161–162 Cyclic redundancy code (CRC), 240 D/A converter accuracy, 325–326 linearity of, 325 resolution, 324 settling time, 326 specifications of, 324–326 temperature sensitivity, 326 D/A counter IC DAC 0808/DAC 1408, 301–302 Decimal number system, 12 Decoder for active high output, 106–107 Index 357 for active low output, 106 applications of, 98–100 block diagram of, 96, 97 cascading of, 100–101 definition, 95–98 truth table, 97, 98, 101 Decoder driver IC, 107–108 Decoding circuit, 154 Demorgan’s theorem dual form, 30–31 pictorial form of, 31 product into sum, 30–31 sum into product, 30 Demultiplexers application of, 95 block diagram of, 93–94 internal circuit of, 95 truth table of, 94 D-flip-flop, 130–131. See also Flipflop, memory element Digital arithmetic half adder, 64–66 Digital circuits, 2 characteristics of, 3–7 classification, 77, 120 fan-in and fan-out, 7 flip-flop, 122–123 Digital electronics, 2 Digital ICs, 339–340 Digital signal, 2 Digital system advantages of, 3 block diagram of, 4 Digital to analog converter, 289–295 advantages, 300 disadvantages of, 295 R-2R ladder type, 295–300 Diode resistor logic, 26–27 Diode transistor logic (DTL), 252–258 minimum forward current ratio (hfemin), 253–254 modified, 256–258 noise voltage, 254–255 propagation delay, 255–256 Display devices, 240 laser (light wave amplification by stimulated emission of radiation), 242 light emitting diode (LED), 240–242 liquid crystal display (LCD), 242–245 Dual slope A/D Converter, 319–322 Dynamic MOS RAM (DRAM), 184, 186 advantages of, 186 disadvantages of, 187 Electrical analogue AND gate, 17 NAND gate, 19 NOR gate, 18 NOT gate, 18 OR Gate, 16 X-OR gate (exclusive OR gate), 22 Electrically Alterable PROM (EAPROM). See Electrically erasable programmable read only memory (EEPROM) Electrically erasable programmable read only memory (EEPROM), 176–177, 192–193 Emitter coupled logic (ECL), 269–270 advantages of, 271 characteristics of, 271 disadvantages of, 271 gates of, 284–285 truth table for, 270 wired-OR connection of, 271–272 358 Index Enable input operation, 26 Encoder, 109–114. See also Combinational circuits block diagram of, 109, 111, 113 logic circuit for, 111 realization, 112 truth table for, 111 Erasable programmable read only memory (EPROM), 176, 192 advantages of, 192 disadvantages of, 192 Fan-in, definition of, 250 Fan-out, definition of, 250, 283 Ferrite core memories, 194 Five bit parity checker circuit, 23 Flip-flop, memory element, 122–123 D-flip-flop, 130–131 as divider circuit, 134–135 flip-flop conversion, 127–129 Jack–Kibby (J–K) flip-flop, 127–130 S–R flip-flop, 123–126 synchronous vs. asynchronous, 124 T–flip-flop, 131–134 Full adder, 69–74 block diagram of, 69 logic circuit of, 71 realization of, 72 truth table of, 70 Full subtractor, 69–74 block diagram of, 72 realization of, 74 truth table of, 73 Gray code, 44 Half subtractor, 66–69 Hamming codes, 236–239 Hard disk, secondary storage device, 179–180 Hexadecimal number system, 12 High level DC noise margin, 281 High threshold logic (HTL), 258 IC7490, operation of, 160 74194 IC, universal shift register, 225–227 Ideal digital circuit characteristics, 7–8 IIL, gates of, 286 Incompletely specified logical functions, 60–64 Integrated injection logic (IIL), 267–269 Inverter circuit, 28 Jack–Kibby (J–K) flip-flop, 127–130, 135, 136. See also Flip-flop, memory element clocked, 129–130 master–slave J–K flip-flop, 138–139 racing problem in, 136–138 truth table of, 127 J–K master–slave flip-flop, 138–139 operation of, 140–141 positive edge triggered, input circuit of, 140 Johnson counter, 228–229. See also Registers Karnaugh map, 45, 62–64, 234 five variable, 53–54 limitation, 45–53 logical expression, 51–53 plotting zeros (max term representation), 53 six variable, 54–60 K map. See Karnaugh map Index 359 Large scale integration (LSI) devices, 79 Laser (Light wave amplification by stimulated emission of radiation), 242 LCD. See Liquid crystal display Least significant digit (LSD), 11 LED. See Light emitting diode Light emitting diode (LED), 240–242 advantages of, 241 disadvantages of, 242 Liquid crystal display (LCD), 242–245 advantages of, 245 disadvantages of, 245 dynamic scattering type, 243 field effect type, 243–245 Logical convention, 9 negative logical system, 10 positive logic system, 9–10 Logical expression, 32–33 max term representation, 35–37 min term representation, 34, 36 standard product of sum (SPOS) form, 34–35 standard sum of products (SSOP) form, 33–34 Logical functions, 4 completely specified, 60–61 incompletely specified, 60–64 Logic circuits, 8, 20–25, 38, 39, 40, 41, 66 Logic gates, 3, 16 definition of, 8 AND gate, 17 NAND gate, 19 NOR gate, 18–19 NOT gate, 17–18 OR gate, 16, 26–27 XNOR gate (equality detector), 24–25 X-OR gate (exclusive OR gate), 20–24 Logic levels, schematic of, 5 Logic parameters, 248–251 average supply current, 249–250 fan-in and fan-out, 250 noise margin, 250–251 power dissipation (Pd), 249 propagation delay, 248–249 speed power product (SPP), 250 Magnetic based memories, 177 Main/primary memory classification of, 178 definition of, 177 random access memory (RAM), 178–179 read only memory (ROM), 179 Medium scale integration (MSI) devices, 79 Memory bit and byte organized, 188–189 classifications of, 175–182 compact disc-read only memory (CDROM), 194–195 computer memory, 175 definition of, 175 ferrite core memories, 194 interfacing, decoded addressing, 201–202 memory chips, 189–191 organization, 187–188 74189 RAM and 74288 PROM chip, 197–199 RAM testing, 199–200 ROM, 191–193, 195–197 semiconductor memories, 184–187 system and standard memory devices, 182–183 Memory chips, 189–191 Memory devices, 182 360 Index Memory interfacing, 200–202 Memory organization, 187–188 Metal oxide semiconductor FET (MOSFET), 272 Microprocessor compatible A/D converter 0809, 322–324 Mod 87 counter, designing, 171–173 Mod 5 counter output sequence, 162 Modified totem pole circuit, 264–265 Mod 3 nonbinary counter, 144 Mod 4 up down counter, designing of, 167–168 Monostable multivibrators, 207, 215–216 MOS logic, characteristics of, 275 Most significant digit (MSD), 11 Multiple digit decimal display, 108–109 Multiplexer, 79–80 advantage, 86–88 application of, 88–92 AND gate realization, 92 general block diagram, 80–86 logic circuit of, 82 NOT gate realization, 92 OR gate realization, 93 PISO register, 229–230 truth table of, 80 as universal logic gate, 92–93 Multivibrators, 205–207 application, 207 astable, 206 monostable, 207 NAND gate, 19, 37–42, 67, 249 electrical analogue, 19 AND gate from, 38 half adder with, 66 NOR gate from, 39 NOT gate from, 37–38 OR gate from, 38 truth table, 19 as universal gates, 37–42 XNOR gate from, 40 XOR gate from, 39 NMOS, gates of, 285–286 NMOS inverter, 272–273 NMOS NAND gate, 274–275 NMOS NOR gate, 274–275 Nonbinary counter, 143 Noninverting characteristics, 6–7 NOR gate, 18–19 electrical analogue, 18 AND gate from, 40 from NAND gate, 39 NAND gate from, 41 NOT gate from, 40 OR gate from, 41 truth table, 18 as universal gates, 40–42 XOR gate from, 41–42 NOT gate, 17–18 electrical analogue, 18 from NOR gates, 40 truth table, 18 Number system definition of, 10 generalized approach of, 11–13 integer conversion, 14–15 positional, 10–11 radix conversion, 13 Octal encoder. See Encoder Octal number system, 12 Octal priority encoder. See Priority encoder Open collector output, 262–263 Optical medium based memories, 177 Optical Windows, 190–191 OR gate, 16, 26–27 Index 361 electrical analogue, 16 from NAND gate, 38 from NOR gates, 41 truth table, 16 Output vs. transfer characteristics, 5 Parallel in parallel out shift register (PIPO), 222–223 Parallel in serial out shift register (PISO), 223–224 Parity, 22–24 Parity check error detection scheme, 235 Positional number system, 10–11 Power dissipation (Pd), 249 Priority encoder, 114–117 block diagram of, 117 truth table for, 117 Programmable logic array (PLA), 340–342 architecture of, 342–346 truth table of, 341 Programmable read only memory (PROM), 176, 192 74288 PROM chip, 197–199 read operation, 198 write operation, 198 Propagation delay, 248–249, 255–256 QUAD D-type F/F with tristated output (74LS373), 266–267 Quaternary number system, 12 Racing problem, J-K flip-flop, 136–138 74189 RAM, 197–199 Random access memory (RAM), 178–179, 199–200 Read only memory (ROM), 179, 191–193, 195–197 applications of, 193 circuit diagram of, using decoder and gates, 195–197 electrically erasable programmable read only memory (EEPROM), 176–177, 192–193 erasable programmable read only memory (EPROM), 176, 192 programmable read only memory (PROM), 176, 192 types of, 191 Registers, 220–227, 230–232 application of, 230–232 bidirectional shift register, 224–225 parallel in parallel out shift register (PIPO), 222–223 parallel in serial out shift register (PISO), 223–224 rotate left shift register, 220, 225 rotate right shift register, 220, 225 serial in parallel out shift register (SIPO), 222 serial in serial out shift register (SISO), 221–222 types of, 220 Resistor transistor logic (RTL), 251–252 Ring counter, 227–228. See also Registers advantages of, 228 disadvantages of, 228 Rotate left shift register, 220, 225 Rotate right shift register, 220, 225 Schmitt trigger circuit applications, 332 characteristics, 336–339 characteristics of, 334–335 OP-AMP, 336–339 362 Index transistorized, 332–334 truth table of, 333 Secondary/auxiliary memory, definition of, 179 Secondary storage devices, 179–180 Semiconductor memories, 176–177, 184–187 Sequence generator design, 232–234 Sequential circuit, 78–79, 119–120. See also Digital circuits vs. combinational circuit, 120 input-output relationship, 121–122 Serial addition/adder, 74 advantages of, 76 disadvantages of, 76 Serial in parallel out shift register (SIPO), 222 Serial in serial out shift register (SISO), 221–222 Seven segment LED display, 101–105 common anode display circuit, 102–103 common cathode display, 103–105 Small scale integration (SSI) devices, 79 Speed power product (SPP), 250 S-R flip-flop, 123–126 advantages of, 126 characteristics table of, 124 synchronous or clocked, 126 truth table of, 126 unclocked/asynchronous, 125–126 Standard memory devices, 182–183. See also Main/ primary memory advantages of, 183 disadvantages of, 183 Static MOS RAM, 184, 185 Synchronous counter, 149–153, 157–158, 166. See also Counters System memory device, 182–183. See also Main/primary memory advantages of, 183 disadvantages of, 183 T–flip-flop, 131–134 555 Timer IC, 207–215. See also Timing circuit astable mode operation, 209–213 block diagram of, 208 internal circuit diagram of, 208 monostable mode operation, 213–215 symmetrical waveform generation, J–K flip-flop, 213 Timing circuit, 205 display devices, 240–245 error detection and correction codes, 234–240 monostable multivibrator, logic gate, 215–216 multiplexer, 229–230 multivibrators, 205–207 registers, 220–227, 230–232 ring and Johnson Counter, 227–229 sequence generator design, 232–234 555 Timer IC, 207–215 timing waveform, OP-AMP, 216–220 Timing waveform, OP-AMP, 216–220 asymmetric, 219–220 symmetric, 217–219 Index 363 Totem pole (TTL), 260–261, 262–263 gates of, 284 open collector output, 262–263 output of, 283 wire and logic for, 263 Transistor transistor logic (TTL), 259–260 Trinary (ternary) number system, 12 Tristate buffer, 323 Tristate inverter, 265–266 Truth table, 68 of augend register, 75 definition of, 8–9 of D–flip-flop, 131 of full adder, 70 AND gate, 17 NAND gate, 19 for NMOS inverter, 273 NOR gate, 18 NOT gate, 18 OR gate, 16 of T–flip-flop, 132 of tristate buffer, 324 X-OR gate (exclusive OR gate), 21 Universal gates, 37 NAND as, 37–42 NOR as, 40–42 Universal synchronism asynchronous receiver transmitters (USART), 231 Very large scale integration (VLSI) technology, 2, 79 Virtual memory, 181–182 Wired-OR MOS logic family, 272–275 XNOR gate (equality detector), 24–25, 40 X-OR gate (exclusive OR gate), 20–24 electrical analogue, 22 from NAND gate, 39 from NOR gates, 41–42 truth table, 21
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