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Unformatted text preview: 1101112 using complementary method.
17. Subtract 11112 from 11002 using complementary method.
18. Multiply the binary numbers 1100 and 1010.
19. Multiply the binary numbers 01101 and 1001.
20. Multiply the binary numbers 101111 and 111.
21. Divide 110012 by 1012.
22. Divide 01101112 by 01112.
23. Briefly explain how multiplication and division operations are performed within a
computer using additive approach.
24. What is the primary advantage of performing subtraction by the complementary
method in digital computers?
25. Discuss the. advantages and disadvantages of performing the various arithmetic
operations by additive method in a diaital comouter.
Boolean Algebra and Logic Circuits
Boolean algebra that deals with the binary number system, is very useful in designing
logic circuits used by the processors of computer systems. In this chapter you will learn
about this algebra and the elementary logic gates that are used to build,up circuits of
different types to perform the necessary arithmetic operations. These logic gates are the
building blocks of all the circuits in a computer. You will also learn how to use Boolean
algebra to design simple logic circuits, which are frequently used by the arithmetic logic
unit of almost all computers.
In the mid-1800's, an algebra which simplified the representation and manipulation of
propositional logic was developed by the English mathematician, George Boole (18151864). It became known as Boolean algebra after its developer's name. Later, in the year
1938, Claude E. Shannon, a research assistant in the Department of Electrical
Engineering at the Massachusetts Institute of Technology, published a thesis entitled, "A
Symbolic Analysis of Relay and Switching Circuits". In this thesis, he proposed the use
of Boolean algebra in the design of relay switching circuits. The basic techniques
described by Shannon were adopted almost universally for the design and analysis of
switching circuits. Because of the analogous relationship between the action of relays and
of modern electron...
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This document was uploaded on 04/07/2014.
- Spring '14