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(b) Derived Gate

(a) AND gate – Truth Table

(b) OR gate – Truth Table

(c) NOT Gate – Truth Table

(d) binary digit

NOT gate takes only one input

LSB is the right most bit

A truth table represents all the possible values of logical variable or statements along with ail the possible results of given combination of truth values.

(c) Binary Digit

(d) C = A ⊕ B

Answer  (d) \(A.\overline{B}\)

(b) A . A = A

The computer can understand machine

Answer is (a) 2

2⁷⁰ bytes does 1 zetta byte contains

(a)   4 1 2 3

The collection of 4 bits is nibble

(c) Word length

Correct answer is (b) Bytes

A collection of 8 bits is called Byte. A byte is considered as the basic unit of measuring the memory size in the computer.

(d) tera byte

(c) Word length

Correct answer is (b) byte

Octal to Decimal Conversion:

To convert Octal to Decimal, we can use positional notation method.

1. Write down the Octal digits and list the powers of 8 from right to left(Positional Notation).

2. For each positional notation of the digit write the equivalent weight.

3. Multiply each digit with its corresponding weight. 

4. Add all the values.

Example:

Convert (1265)₈ to equivalent Decimal number

(1265)₈ = 512 x 1 + 64 x 2 + 8 x 6 + 1 x 5

= 512 + 128 + 48 + 5

(1265)₈ = (693)₁₀

Hexadecimal to Decimal Conversion:

To convert Hexadecimal to Decimal we can use positional notation method.

1. Write down the Hexadecimal digits and list the powers of 16 from right to left (Positional Notation). 

2. For each positional notation written for the digit, now write the equivalent weight.

3. Multiply each digit with its corresponding weight. 

4. Add all the values to get one final value. 

Example: Convert (25F)₁₆ into its equivalent Decimal number.

(b) American Standard Code for Information Interchange

(c) 97 to 122

Answer is (b) ENIAC

I BM company have formulated EBCDIC

32 is the ASCII value for blank space

BCD – Binary Coded Decimal;

EBCDIC – Extended Binary Coded Decimal Interchange Code;

ASCII – American Standard Code for Information Interchange.

This coding system is, used in most of the modem computers. The popular coding scheme after ASCII is Unicode. ASCII can represent only 256 characters. Therefore English and European Languages alone can be handled by ASCII. Particularly there was a situation, when the languages like Tamil, Malayalam, Kannada and Telugu could not be represented by ASCII. Hence, the Unicode was generated to handle all the coding system of Universal languages. This is 16 bit code and can handle 65536 characters.

De Morgan’s \(\overline{A+B} = \overline{A}.\overline{B}\)

\(\overline{A+B}=\overline{A}\,+\,\overline{B}\)

The numbers are represented in computers in different ways:

1. Signed Magnitude representation.
2. 1 ’s Complement.
3. 2’s Complement

In general, 26 uppercase letters, 26 lowercase letters, 0 to 9 digits and special characters are used in a computer is called character set. All these character set are denoted through numbers only.

(a) 11100110

15 is the decimal value of 1111₂

1. Step 1: Convert given Decimal number into Binary

2. Step 2: Check if the binary number contains 8 bits, if less add 0 at the left most bit, to make it as 8 bits. 

3. Step 3: Invert all bits (i.e. Change 1 as 0 and 0 as 1)

Answer is A + A = A

NOT is called as the logical inverter

Gate is a basic electronic circuit which operates on one or more signals

The term data comes from the word datum

876 is not an Octal number

(a) signed magnitude

Step 1 : convert given decimal number into Binary

Step 2 : if the binary bit contains 8 bits if less add 0 at the left most bit, to make it as 8 bits.

Step 3 : Invert all the bits, (i.e.) change 1 as 0 and 0 as 1.

(b) 11011001

 (c)  C = \(\overline{A}+\overline{B}\)

(d) All of these

The base value of hexadecimal number is 16

The hexadecimal equivalent of 15 is F

Unicode scheme is denoted by hexadecimal numbers.

It consists of 0,1,2,3,4,5,6,7,8,9 (10 digits). It is the oldest and most popular number system used in our day-to-day life. In the positional number system, each decimal digit is weighted relative to its position in the number. This means that each digit in the number is multiplied by 10 raised to a power corresponding to that digit’s position.

Octal number system uses digits 0, 1, 2, 3, 4, 5, 6 and 7 (8 digits). Each octal digit has its own positional value or weight as a power of 8.