01․ A + Ā is equal to

Logical OR of a variable and its complement is always equal to 1, i.e. A + Ā = 1.

02․ A . Ā is equal to

Logical AND (Intersection) of a variable and its complement is always equal to 0 i.e. A.Ā = 0. Multipication with zero is always zero.

03․ Complement of XNOR and NOR is ________ and ________ respectively.

Complement of XNOR is XOR and complement of OR is NOR.

04․ A binary number system is of base ________

The radix of a binary number system is 2. Base-2 system is known as the binary system, having values as 1 and 0.

05․ Convert the binary number (1111000011110000) to hexadecimal number

Binary equivalent of Hexadecimal number system of F = 1111 and 0 = 0000. Binary system can be easily converted to hexadecimal by taking groups of four bits from right to left.

06․ Maximum number in decimal that can be represented by 4 bits (binary) is

, where n is the number of bits. Max Number represented by 4 bits = 2

^{4}- 1 ⇒ 15.07․ 1s Complement of 11001010 is

1's complement of a binary number can be found out by inverting each bit in the binary number system.

08․ Positive integers must be represented by

Positive integers are represented using unsigned numbers and negative integers are represented by signed numbers on the extreme left.

09․ 2's Complement of 10101011 is

2's Complement = 1's Complement + 1.
1's Complement of 10101011 is 01010100.
2's Complement of 10101011 is 01010101.

10․ The complement of a function A is

Complement or inverse of a function A is represented by Ā.

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