Page 24 - DCAP108_DIGITAL_CIRCUITS_AND_LOGIC_DESIGNS

Unit 1: Number Systems

Number system: It is a basic counting various items. On hearing the word number all of us Notes
immediately think of the familiar decimal number system with its 10 digit: 0, 1, 2, 3, 4, 5, 6, 7, 8,
and 9.
Octal: The octal, or base 8, number system is a common system used with computers. Because
of its relationship with the binary system, it is useful in programming some types of computers.

1. Give an example and write the steps of converting from octal number system
to decimal value.

2. Convert 336 from base 6 to base 4 value.

1.8 Review Questions

1. Discuss the number system with suitable example.
2. Explain the decimal number system and which decimal is equivalent of 1101011 .
2
3. What is the largest number that can be represented using 8 bits?
4. Explain the method of conversion from octal number to binary number system.
5. What is the next binary after 10111 in the counting sequence?
2
6. Explain the method of conversion from hexadecimal to binary number system.
7. What is the hexadecimal representation for the binary number 100100101011?
8. What is the largest decimal value that can be represented using 12 bits?
9. Convert the following binary number system to their equivalent decimal value.

(a) 11001 = ........................
2 10
(b) 1001.1001 = ........................
2 10
(c) 10011011001.10110 = ........................ 10
2
10. Convert from one number system to another
(a) 5766 = ?
8 10
(b) 21AFC = ?
16 10
(c) 3552642 = ?
7 10
(d) 3214052 = ? 10
6
(e) 1DACC = ? 10
13
(f) 32545 = ?
6 4
Answers to Self Assessment
1. (b) 2. (b) 3. (c) 4. (a)

5. (a) 6. (b) 7. (c) 8. (d)

1.9 Further Reading

Digital Systems: Principles and Applications, by Ronald J. Tocc.

http://books.google.co.in/books?

LOVELY PROFESSIONAL UNIVERSITY 19