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OBJECTIVES
•Understand digital representation by
performing basic operation basic skills (addition,
subtraction, multiplication and division ) in
computation
•Accurately obtain answer/measurements in
computation using binary
•Employ different techniques in checking
accuracy of the computation using binary
DIGITAL
REPRESENTATION
BY R A I M A S A M U N E
•Within a computer, information is
represented and stored in a digital
binary format. The term bit is an
abbreviation of binary digit and
represents the smallest piece of data.
Humans interpret words and pictures;
computers interpret only patterns of bits.
•A bit can have only two possible values,
a one digit (1) or a zero digit (0). A bit
can be used to represent the state of
something that has two states. For
example, a light switch can be either On
or Off; in binary representation, these
states would correspond to 1 and 0,
respectively.
• Computers use binary codes to represent and
interpret letters, numbers and special characters
with bits. A commonly used code is the American
Standard Code for Information Interchange
(ASCII). With ASCII, each character is represented
by a string of bits.
• For example:
• Capital letter: A = 01000001
• Number: 9 = 00001001
• Special character: # = 00100011
•Each group of eight bits, such as the
representations of letters and
numbers, is known as a byte. Codes
can be used to represent almost any
type of information digitally:
computer data, graphics, photos,
voice, video , and music.
FORMULA
•CONVERT DECIMAL NUMBERS TO BINARY
To convert a decimal number to binary, all
you have to do is divide the number by 2.
the quotient and the remainder. Bring down
the quotient, divide it by 2, and get the
quotient and remainder again. Do it
repeatedly until the quotient results to 0.
Copy the remainder from bottom to top, and
that is the binary equivalent.
EXAMPLE
• Example: 25
Quotient Remainder
• 25/2 12 1
• 12/2 6 0
• 6/2 3 0
• 3/2 1 1
• 1/2 0 1
•25 = 11001
CHECKING
•Checking:
•1 1 0 0 1 multiplier
•16 8 4 2 1 equivalents
•16 8 0 0 1 results
•16+8+1 = 25

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DIGITAL REPRESENTATION.pptx

  • 1. OBJECTIVES •Understand digital representation by performing basic operation basic skills (addition, subtraction, multiplication and division ) in computation •Accurately obtain answer/measurements in computation using binary •Employ different techniques in checking accuracy of the computation using binary
  • 2. DIGITAL REPRESENTATION BY R A I M A S A M U N E
  • 3. •Within a computer, information is represented and stored in a digital binary format. The term bit is an abbreviation of binary digit and represents the smallest piece of data. Humans interpret words and pictures; computers interpret only patterns of bits.
  • 4. •A bit can have only two possible values, a one digit (1) or a zero digit (0). A bit can be used to represent the state of something that has two states. For example, a light switch can be either On or Off; in binary representation, these states would correspond to 1 and 0, respectively.
  • 5. • Computers use binary codes to represent and interpret letters, numbers and special characters with bits. A commonly used code is the American Standard Code for Information Interchange (ASCII). With ASCII, each character is represented by a string of bits. • For example: • Capital letter: A = 01000001 • Number: 9 = 00001001 • Special character: # = 00100011
  • 6. •Each group of eight bits, such as the representations of letters and numbers, is known as a byte. Codes can be used to represent almost any type of information digitally: computer data, graphics, photos, voice, video , and music.
  • 7. FORMULA •CONVERT DECIMAL NUMBERS TO BINARY To convert a decimal number to binary, all you have to do is divide the number by 2. the quotient and the remainder. Bring down the quotient, divide it by 2, and get the quotient and remainder again. Do it repeatedly until the quotient results to 0. Copy the remainder from bottom to top, and that is the binary equivalent.
  • 8. EXAMPLE • Example: 25 Quotient Remainder • 25/2 12 1 • 12/2 6 0 • 6/2 3 0 • 3/2 1 1 • 1/2 0 1 •25 = 11001
  • 9. CHECKING •Checking: •1 1 0 0 1 multiplier •16 8 4 2 1 equivalents •16 8 0 0 1 results •16+8+1 = 25