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##### Chapter 7:

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**Chapter 7:**Digital Logic Design Memory and Programmable Logic**Random-Access Memory (RAM)**• Data Storage (Volatile) • Locations (Address) • Byte or Word Data input Memory unit 16 x 8 Address Read Write Data output**Random-Access Memory (RAM)**• Data Storage (Volatile) • Locations (Address) • Byte or Word m Data input Memory unit 2k x m k Address Read 10 Address lines 1024 locations = 1 K Write m Data output**BC**Memory Decoding • Memory Cell Select Output Input Read/Write**Input Data**0 I1 AddressLines BC BC BC BC BC BC BC BC BC BC BC BC BC BC BC BC I0 1 2 x 4Decoder 2 MemoryEnable E 3 Read/Write Output Data Memory Decoding • Memory Array**Read-Only Memory (ROM)**ROM 2k x m k Address Memory Enable m Data output**Read-Only Memory (ROM)**Conventional Symbol Array Logic Symbol**Read-Only Memory (ROM)**• 8 x 4 ROM 3 x 8Decoder 0 1 2 I2 3 AddressLines I1 4 I0 5 6 MemoryEnable E 7 Output Data**Read-Only Memory (ROM)**3 x 8Decoder • 8 x 4 ROM 0 1 0 0 0 0 2 11 0 1 A2 I2 3 0 0 11 A1 I1 4 1 0 0 0 A0 I0 5 1111 6 1 0 0 1 E 1 7 0 111 0 0 0 0 D3 D2 D1 D0**Types of ROMs**• Mask Programmed ROM • Programmed during manufacturing • Programmable Read-Only Memory (PROM) • Blow out fuses to produce ‘0’ • Erasable Programmable ROM (EPROM) • Erase all data by Ultra Violetexposure • Electrically Erasable PROM (EEPROM) • Erase the required data using an electrical signal**Programmable Logic Device (PLD)**• Boolean Functions: • Sums-of-Products • AND-plane followed by OR-plane**Fixed**AND array (Decoder) Programmable AND array Programmable AND array Programmable OR array Fixed OR array Programmable OR array Inputs Inputs Inputs Outputs Outputs Outputs Programmable Logic Device (PLD) • PROM • PAL • PLA**Programmable Array Logic (PAL)**Example w(A,B,C,D)= ∑(2,12,13) x(A,B,C,D)= ∑(7,8,9,10,11,12,13,14,15) y(A,B,C,D)= ∑(0,2,3,4,5,6,7,8,10,11,15) z(A,B,C,D)= ∑(1,2,8,12,13) Simplify: w =ABC’ + A’B’CD’ x =A + BCD y =A’B + CD + B’D’ z =ABC’+ A’B’CD’ + AC’D’ + A’B’C’D = w + AC’D’+ A’B’C’D w A x B y C z D**Programmable Logic Array (PLA)**A B C Example: F1=AB’ + AC + A’BC’ F2=(AC + BC)’**Sequential Programmable Logic Device**• Basic Macrocell Logic**Homework**• Mano • Chapter 7 • 7-1 • 7-2 • 7-3 • 7-18 • 7-19