Page 23 - DCAP108_DIGITAL_CIRCUITS_AND_LOGIC_DESIGNS

Digital Circuits and Logic Design

Notes Questions:
1. What are the differences between the Indian mathematics and Chinese mathematics?

2. Why the invention of calculus was needed? How it affected mathematics?

Self Assessment
Choose the correct answer:
5. The hexadecimal number system is also known as the base-16 number system, because each
position in the number represents an incremental number with a base of 16.
(a) True (b) False
6. In Hexadecimal number system A stands for:
(a) 12 (b) 10
(c) 11 (d) 13
7. In Hexadecimal number system F stands for:

(a) 14 (b) 10
(c) 15 (d) 13
8. The octal, or base ....................., number system is a common system used with computers.
(a) 0 (b) 10
(c) 11 (d) 8

1.6 Summary

• A number system is a way of representing a number. Every number system has a base (the
number of digits available).
• A number system does not change the value of the number, but only the manner in which
it is represented. What we mean to say is that the value of the number remains the same,
but the digits we use and how we use them decides the representation of that number.
• The decimal system is a positional-value system in which the value of a digit depends on
its position.
• The decimal point separates the positive powers of 10 from the negative powers.
• The binary system is also a positional-value system, wherein each binary digit has its own
value or weight expressed as a power of 2.
• The hexadecimal number system is also known as the base-16 number system, because each
position in the number represents an incremental number with a base of 16.

1.7 Keywords

Binary system: It is also a positional-value system, wherein each binary digit has its own value
or weight expressed as a power of 2.

Digital systems: Digital systems process digital signals which can take only a limited number of
values (discrete steps)—usually just two values are used: the positive supply voltage (+Vs) and
zero volts (0V).
Hexadecimal number system: It is also known as the base-16 number system, because each position
in the number represents an incremental number with a base of 16.

18 LOVELY PROFESSIONAL UNIVERSITY