Assignment 1 Tec140 Microcomputer Systems

Beverly Davy

TEC140 – Microcomputer Systems

2.7 Practice Set Review Questions

TEC140 – Microcomputer Systems

Beverly Davy

07/15/15

2.7 Practice Set Review Questions

1. Define a number system?

The position a symbol occupies in the number determines the value it represents. It is a system that uses distinct symbols to represent a number.

3. Define the base or radix in a positional number system. What is the relationship between a base and the number of symbols in a positional number system?

B is the base or the radix, is equal to the total number of the symbols in the set. The number of symbols is represented by S and it is the set of symbols. The base is equal to the total number of the symbols in the set S. In a positional number system, the position a symbol occupies in the number determines the value it represents. Each position has a place value associated with it.

5. Explain the binary system. What is the base in this system?

The second positional number system is the binary system. This means two by two. The symbols in the system are often referred to binary digits or bits. Data and programs are stored in the computer using binary patterns, which is a string of bits.

7. Explain the hexadecimal system. Why is it called hexadecimal? What is the base in this system?

The base in this system is 16 because they use sixteen symbols to represent a number. It is called hexadecimal because of the Greek root hex which is six and the Latin root decem which is ten. Six plus ten is sixteen.

9. How many bits in the binary system are represented by one digit in the hexadecimal system?

There is a relationship between the two bases: four bits in binary is one digit in hexadecimal.

11. The base of the decimal number system is 10. It is because we use 10 symbols to represent numbers.

13. The base of the octal number system is 8.

15. When converting a decimal integer to base b, we repeatedly...