Ch 4(a): Introduction to Numbering & Conversion

What are the advantages of digital circuits?

• Signals represented digitally can be transmitted without degradation due to noise.

• Can be used to store large quantities of data easily.

• Are much simpler than analog circuits in terms of design and operation.

• To process digital signals, it is important to know how numbers and values are represented in digital circuits.

What does the decimal number system consist of?

• Base 2 digits

• Base 10 digits from 0 to 9

• Base 8 digits from 0 to 7

• Base 16 digits from 0 to F

How can any binary number be converted into its equivalent decimal number?

• Continuous division by 2

• Weights assigned to each bit position

• Sum of all binary digits multiplied by theirs weights

• Continuous multiplications by 2

What is the equivalent decimal number of binary 1111?

(a)  

How to convert decimal 13 to its binary equivalent?

• By continuous division by 2

• Keeping track of integers generated

• By continuous division by 2

• Keeping track of the remainders

In HEXADECIMAL, it has 16 symbols, which are:

• 0 - 7

• A - F

• A - E

• 0 - 9

In any binary number, the rightmost digit is called (a)   .

In binary number, the leftmost digit is called (a)  

What is HEXADECIMAL number converted from 13 of decimal number?

(a)  

The OCTAL numbers will be ______ of decimal numbers by its 3-bits binary

• 0 - 8

• 1 - 8

• 1 - 7

• 0 - 7