DIGITAL ELECTRONICS
Number Systems, Operations, and Codes
,OUTLINE
• Decimal Numbers
• Binary Numbers
• Decimal-to-Binary Conversion
• Binary Arithmetic
• Complements of Binary Numbers
• Signed Numbers
• Arithmetic Operations with Signed Numbers
• Hexadecimal Numbers
• Octal Numbers
• Binary Coded Decimal (BCD)
• Digital Codes
• Error Codes
,DECIMAL NUMBERS
• The decimal number system has ten digits.
0 The decimal number
system has a base of
1 10
2
3
4
5 weight
6
7
8
9
, DECIMAL NUMBERS
• Express the decimal number 47 as a sum of the values of each digit.
• Express the decimal number 568.23 as a sum of the values of each digit
Number Systems, Operations, and Codes
,OUTLINE
• Decimal Numbers
• Binary Numbers
• Decimal-to-Binary Conversion
• Binary Arithmetic
• Complements of Binary Numbers
• Signed Numbers
• Arithmetic Operations with Signed Numbers
• Hexadecimal Numbers
• Octal Numbers
• Binary Coded Decimal (BCD)
• Digital Codes
• Error Codes
,DECIMAL NUMBERS
• The decimal number system has ten digits.
0 The decimal number
system has a base of
1 10
2
3
4
5 weight
6
7
8
9
, DECIMAL NUMBERS
• Express the decimal number 47 as a sum of the values of each digit.
• Express the decimal number 568.23 as a sum of the values of each digit
