We are given a set of multiple-choice questions related to computer science concepts. We need to select the correct option for each question.

Discrete MathematicsNumber SystemsBinaryOctalHexadecimalBCDASCIIBase Conversion
2025/5/6

1. Problem Description

We are given a set of multiple-choice questions related to computer science concepts. We need to select the correct option for each question.

2. Solution Steps

1

2. Convert the octal number $1445_8$ to decimal.

14458=(1×83)+(4×82)+(4×81)+(5×80)=512+256+32+5=805101445_8 = (1 \times 8^3) + (4 \times 8^2) + (4 \times 8^1) + (5 \times 8^0) = 512 + 256 + 32 + 5 = 805_{10}.
Now we convert 80510805_{10} to binary.
805=512+256+32+4+1805 = 512 + 256 + 32 + 4 + 1
805=29+28+25+22+20805 = 2^9 + 2^8 + 2^5 + 2^2 + 2^0
80510=110010001012805_{10} = 11001000101_2. Padding with zeroes to have 12 digits, we get 0011001001012001100100101_2.
Therefore, the correct option is (2).
1

3. Convert the hexadecimal number $32_{16}$ to decimal.

3216=(3×161)+(2×160)=48+2=501032_{16} = (3 \times 16^1) + (2 \times 16^0) = 48 + 2 = 50_{10}.
Now we convert 501050_{10} to octal.
50=6×8+250 = 6 \times 8 + 2
So, 5010=62850_{10} = 62_8.
Therefore, the correct option is (3).
1

4. BCD (Binary Coded Decimal) represents each decimal digit with its 4-bit binary equivalent.

The number is
2
3

5. 2 in BCD is

0
0
1

0. 3 in BCD is

0
0
1

1. 5 in BCD is

0
1
0

1. Therefore, the BCD value of 235 is 0010 0011

0
1
0

1. This is none of the given options.

If we assume there is a typing error and (4) is supposed to be 001000110101, then the correct answer is (4).
1

5. The ASCII character "B" is represented as $1000010_2$. "E" is 3 characters after "B" in the alphabet. Hence its ASCII representation is simply the number represented by 'B' plus

3. $1000010_2 = 64 + 2 = 66$. Then $66 + 3 = 69$.

69=64+4+1=26+22+2069 = 64 + 4 + 1 = 2^6 + 2^2 + 2^0.
6910=1000101269_{10} = 1000101_2.
Therefore, 100010121000101_2 padded to 8 digits is 01000101201000101_2. None of the answers are correct.
If 'B' were 1000012=33100001_2 = 33, then 'E' would be 33+3=36=32+4=100100233 + 3 = 36 = 32 + 4 = 100100_2 and again none of the solutions are correct. It might be that the problem is assuming BCD, however this does not lead to one of the solutions being the right one.
1

6. Portrait and Landscape in a word processing software are called Page Orientation.

Therefore, the correct option is (1).
1

7. Word processing software can be used to change a word mentioned in different places even in a long document. This facility is called Find and Replace.

Therefore, the correct option is (3).
1

8. Features that affect the popularity of using word processing software in a computer than the typewriter are:

A. Re-editing can be done easily.
B. Checking spelling and Grammar easily.
C. Ability to add pictures.
Therefore, the correct option is (4) A, B, and C.
1

9. The facility/Tool that can be used to write $CO_2$ is Subscript.

Therefore, the correct option is (4).

3. Final Answer

1

2. (2)

1

3. (3)

1

4. (4)

1

5. None of the options

1

6. (1)

1

7. (3)

1

8. (4)

1

9. (4)

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