List of top Computer Awareness Questions on Data Representation asked in NIMCET

The decimal equivalent 8-bit two's complement number \(11010011\):
Consider the following statement about range of number in 9 bit 1's complement and 2's complement system. I. In 9 bits 1's complements the range is \(-255\) to \(+255\) and there exist two representations of zero. II. In 9 bits 2's complements the range is \(-256\) to \(+255\), both 1's complements and 2's complements can represent exactly \(512\) unique values. III. The maximum positive number representable is \(+255\) in both 1's complements and 2's complements 9 bit system. Options:
Floating-point representation is mainly used for:
IEEE 754 single precision uses:
Overflow occurs when:
Which of the following statements about ASCII and Unicode is correct?
What is the equivalent decimal value of the unsigned binary number 10101.10101?
What is the hexadecimal representation of the decimal number 265?

Given an unsigned 32-bit integer \( x \), which of the following C/C++ expressions correctly toggles its bits starting from position \( p \) (with the least significant bit at position 0)? 

Assume: \( x \) is the input integer; \( p \) is the starting position of the bit range (0-based, LSB at position 0); \( m \) is the number of bits to toggle; and no overflow or invalid input conditions occur. Which of the following correctly toggles \( m \) bits starting from position \( p \)?

Consider a 9-bit representation. Which of the following correctly gives the smallest number that can be represented in: (i) 1's complement, (ii) 2's complement?
In 8-bit two's complement arithmetic, compute the result of the following addition: \( A = 10011001 \), \( B = 11010111 \). What is the resulting 8-bit binary value?
The maximum and minimum value represented in signed 16 bit 2's complement representations are
What is a potential problem of 1's complement representation of numbers?
Suppose we have a 10-bit computer that uses 10-bit 2's complement representation. The number representation of -35 is

Equivalent of the decimal number \( (25.375)_{10} \) in binary form

Suppose we have a 10-bit computer that uses 10-bit floating-point computational unit (Flot number uses IEEE floating-point arithmetic where a floating point number has 1 sign bit, 5 exponent bits, and 4 fraction bits). The representation for \( +\infty \) (plus infinity) is:
The maximum and minimum value represented in signed 16 bit 2's complement representations are
Suppose the largest n bit number requires 'd' digits in decimal representation. Which of the following relations between 'n' and 'd' is approximately correct?
'Floating point representation' is used to represent
The maximum and minimum value represented in signed 16 bit 2's complement representations are