(a) Briefly explain how several Full-Adder circuits can be chained together to add up multi-bit values.

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Chapter1: Introduction
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3 This question is about Digital Logic
(a) Briefly explain how several Full-Adder circuits can be chained together to add up
multi-bit values.
(b) A computer is being designed using a microprocessor with a 16-bit address bus
(A0 -A15). The 64K address space is to be split and allocated to RAM, ROM and I/0
hardware as follows:
Address Range (hex) Contains
Select Signal
Ox0000-OX0OFF
ROM
ROMCS
Ox1000-0X1FFF
RAM Bank 1
RAMICS
I/O
RAM Bank 2
Ox2010-Ox2012
IOCS
Оx8000-0xFFF
RAM2CS
The rest of the address space is unused.
Note: As with many computer systems, it its only necessary to decode the address to
sufficiently identify each of the four stages above. It is acceptable for some parts to be
decodeable by more than one address provided these extra addresses do not over-
lap any of the other specified address ranges.
Using a combination of AND, OR and NOT gates and the signals for the address bus
(A0- A15) that contain the address in binary form:
() Derive the equation for a logic signal, ROMCS, which is true if the address bus con-
tains an address in the range for the ROM.
(i) Derive the equation for a logic signal, RAMICS, which is true if the address bus
contains an address in the range for RAM Bank 1.
(iii) Derive the equation for a logic signal, 10cs, wh
tains an address in the range for the I/0.
is true if the address bus con-
(iv) Derive the equation for a logic signal, RAM2CS, which is true if the address bus
contains an address in the range for RAM Bank 2.
Transcribed Image Text:3 This question is about Digital Logic (a) Briefly explain how several Full-Adder circuits can be chained together to add up multi-bit values. (b) A computer is being designed using a microprocessor with a 16-bit address bus (A0 -A15). The 64K address space is to be split and allocated to RAM, ROM and I/0 hardware as follows: Address Range (hex) Contains Select Signal Ox0000-OX0OFF ROM ROMCS Ox1000-0X1FFF RAM Bank 1 RAMICS I/O RAM Bank 2 Ox2010-Ox2012 IOCS Оx8000-0xFFF RAM2CS The rest of the address space is unused. Note: As with many computer systems, it its only necessary to decode the address to sufficiently identify each of the four stages above. It is acceptable for some parts to be decodeable by more than one address provided these extra addresses do not over- lap any of the other specified address ranges. Using a combination of AND, OR and NOT gates and the signals for the address bus (A0- A15) that contain the address in binary form: () Derive the equation for a logic signal, ROMCS, which is true if the address bus con- tains an address in the range for the ROM. (i) Derive the equation for a logic signal, RAMICS, which is true if the address bus contains an address in the range for RAM Bank 1. (iii) Derive the equation for a logic signal, 10cs, wh tains an address in the range for the I/0. is true if the address bus con- (iv) Derive the equation for a logic signal, RAM2CS, which is true if the address bus contains an address in the range for RAM Bank 2.
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