Q4L1 _ Binary System Conversion 1
Page 1: Binary System Conversion
Topic: Binary System Conversion
Subject: ICT 9 Q4 Lesson 1
Page 2: What is Binary System?
Definition: A numerical system composed solely of 1s and 0s.
Term: "Bit" refers to a single binary digit.
Example: Number has 6 bits.
Page 3: Bits
LSB (Least Significant Bit): Rightmost bit.
MSB (Most Significant Bit): Leftmost bit.
Page 4: Terminologies
Common Name:
Bit: 1 binary digit
Nibble: 4 bits
Byte: 8 bits
Word: 16 bits
Double Word: 32 bits
Quad Word: 64 bits
Page 5: BINARY - DECIMAL
Comparison between Binary and Decimal systems.
Page 6: Binary - Decimal
Base-2 numbering system: Digits are either 1 or 0.
Page 7: Powers of 2
Familiarize with exponents:
2^0 = 1
2^1 = 2
2^2 = 4
2^3 = 8
2^4 = 16
2^5 = 32
2^6 = 64
2^7 = 128
2^8 = 256
Page 8: Example Conversion
Binary: 10010101
Step by step conversion:
1 × 2^7 = 128
1 × 2^4 = 16
1 × 2^2 = 4
1 × 2^0 = 1
Sum = 128 + 16 + 4 + 1 = 149
Result: 10010101 = 149
Page 9: DECIMAL - BINARY
Transitioning from Decimal to Binary.
Page 10: DECIMAL - BINARY
Base-10 numbering system: Digits range from 0 to 9.
Page 11: Conversion Methods
Overview of two methods for converting Decimal to Binary.
Page 12: SUBTRACTION METHOD
Start with the decimal number.
Identify largest exponent of 2 less than or equal to the number.
Subtract the exponent from the number.
Repeat until remainder is 0.
Record 1s and 0s in binary positions.
Page 13: Powers of 2
Familiarize with the same powers as in Page 7.
Page 14: Subtraction Example
Decimal: 75
Process: 75 - 64 = 11
Breakdown of the remaining values leading to conversion.
Page 15: DIVISION METHOD
Start with the decimal number.
Divide number by 2.
Use quotient as new number.
Continue dividing by 2.
Record remainders until quotient is 0.
Write remainders in reverse order to form binary number.
Page 16: Division Example
Decimal: 75
Process leading to binary: 1001011
Page 17: LET'S TRY!
Opportunities for practice on binary conversions.