# Binary to Decimal Conversion Based on New Paper 1 Syllabus for 2021

Dr. Manishika Jain- Join online Paper 1 intensive course. Includes tests and expected questions.

## 1՚S & 2՚S Complement

### Convert to Binary: 2432 (Unsigned)

Ans: 100110000000

2048,256, 128

Check if number is even its lsb would be 0 else would be 1

### Convert to Decimal: 11011001 (Unsigned)

Ans: 11011001 = 217

2048,256, 128

Check if number is even its lsb would be 0 else would be 1

### The Negatives! !

1. Signed Magnitude (5 bit machine)
2. 1՚s Complement (5 bit machine)
3. 2՚s Complement (5 bit machine)

-5 Singed magnitude- 10101,1՚s Complement: 11010,2՚s complement: 11011.

10101 signed magnitude:-5,1՚s Complement:-10,2՚s Complement -11

2՚s Complement = 1՚s Complement + 1

Negative numbers always have 1 in MSB!

In all numbers + ve remain the same as unsigned

### The Negatives: Signed Magnitude

-5 Singed magnitude: 10101

-15 Singed magnitude: 11111

11011:-11

### 01011: 11 the Negatives: 1՚S Complement

-5 1՚s Complement: 11010 (Need machine

width- guess from choices)

-15 1՚s Complement: 10000 (More width would produce more 1՚s)

11011:-4 (MSB is one so negative number, complement and find answer) If no 1 in MSB then simply write 11

01011: 11 (Same as unsigned)

## The Negatives: 2՚S Complement

-5 2՚s Complement: 11011 (Need machine width- guess from choices) (Add one to 1՚s Complement only for negative numbers)

-15 2՚s Complement: 10001 (More width would produce more 1՚s)

11011:-5 (MSB is one so negative number, -1 and then complement and find answer) If no 1 in MSB then simply write 11

11110:-2 (MSB is one so negative number, -1 and then complement and find answer) If no 1 in MSB then simply write 14

01011: 11 (Same as unsigned)

### Next Class

-5 2՚s Complement: 11011 (Need machine width- guess from choices) (Add one to 1՚s Complement only for negative numbers)

-15 2՚s Complement: 10001 (More width would produce more 1՚s)

11011:-5 (MSB is one so negative number, -1 and then complement and find answer) If no 1 in MSB then simply write 11

11110:-2 (MSB is one so negative number, -1 and then complement and find answer) If no 1 in MSB then simply write 14

01011: 11 (Same as unsigned)

Developed by:
The text passage contains several binary to decimal conversion problems and their solutions, as well as explanations for signed magnitude, 1’s complement, and 2’s complement representations of negative numbers.
multiple_questions_with_answers
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# Binary to Decimal Conversion Based on New Paper 1 Syllabus for 2021

Dr. Manishika Jain- Join online Paper 1 intensive course. Includes tests and expected questions.

## 1՚S & 2՚S Complement

### Convert to Binary: 2432 (Unsigned)

Ans: 100110000000

2048,256, 128

Check if number is even its lsb would be 0 else would be 1

### Convert to Decimal: 11011001 (Unsigned)

Ans: 11011001 = 217

2048,256, 128

Check if number is even its lsb would be 0 else would be 1

### The Negatives! !

1. Signed Magnitude (5 bit machine)
2. 1՚s Complement (5 bit machine)
3. 2՚s Complement (5 bit machine)

-5 Singed magnitude- 10101,1՚s Complement: 11010,2՚s complement: 11011.

10101 signed magnitude:-5,1՚s Complement:-10,2՚s Complement -11

2՚s Complement = 1՚s Complement + 1

Negative numbers always have 1 in MSB!

In all numbers + ve remain the same as unsigned

### The Negatives: Signed Magnitude

-5 Singed magnitude: 10101

-15 Singed magnitude: 11111

11011:-11

### 01011: 11 the Negatives: 1՚S Complement

-5 1՚s Complement: 11010 (Need machine

width- guess from choices)

-15 1՚s Complement: 10000 (More width would produce more 1՚s)

11011:-4 (MSB is one so negative number, complement and find answer) If no 1 in MSB then simply write 11

01011: 11 (Same as unsigned)

## The Negatives: 2՚S Complement

-5 2՚s Complement: 11011 (Need machine width- guess from choices) (Add one to 1՚s Complement only for negative numbers)

-15 2՚s Complement: 10001 (More width would produce more 1՚s)

11011:-5 (MSB is one so negative number, -1 and then complement and find answer) If no 1 in MSB then simply write 11

11110:-2 (MSB is one so negative number, -1 and then complement and find answer) If no 1 in MSB then simply write 14

01011: 11 (Same as unsigned)

### Next Class

-5 2՚s Complement: 11011 (Need machine width- guess from choices) (Add one to 1՚s Complement only for negative numbers)

-15 2՚s Complement: 10001 (More width would produce more 1՚s)

11011:-5 (MSB is one so negative number, -1 and then complement and find answer) If no 1 in MSB then simply write 11

11110:-2 (MSB is one so negative number, -1 and then complement and find answer) If no 1 in MSB then simply write 14

01011: 11 (Same as unsigned)

Developed by:
user
The text passage contains several binary to decimal conversion problems and their solutions, as well as explanations for signed magnitude, 1’s complement, and 2’s complement representations of negative numbers.

TYPE: MULTIPLE_QUESTIONS_WITH_ANSWERS