Number Representation

The number -6 can be represented as 1010 in 4-bit 2's complement representation. Which of the following is/are CORRECT 2's complement representation(s) of -6?

The format of a single-precision floating-point number as per the IEEE 754 standard is: Sign (1bit) Exponent (8 bits) Mantissa (23 bits) Choose the largest floating-point number am...

Consider the following representation of a number in IEEE 754 single-precision floating point format with a bias of 127. S: 1 E: 10000001 F : 11110000000000000000000 Here S, E and...

In 16-bit 2's complement representation, the decimal number -28 is :

Consider Z = X - Y, where X, Y and Z are all in sign-magnitude form. X and Y are each represented in n bits. To avoid overflow, the representation of Z would require a minimum of :

The $n$-bit fixed-point representation of an unsigned real number $X$ uses $f$ bits for the fraction part. Let $i=n-f$. The range of decimal values for $X$ in this representation i...

The smallest integer that can be represented by an $$8$$-bit number in $$2's$$ complement form is

Let $$A=1111$$ $$1010$$ and $$B=0000$$ $$1010$$ be two $$8$$-bit $$2's$$ complement numbers. Their product in $$2's$$ complement is

The $$2's$$ compliment representation of the decimal value $$-15$$ is

Booth’s coding in $$8$$ bits for the decimal number –$$57$$ is: