Number System


Q31.

Two eight bit bytes 11000011 and 01001100 are added. What are the values of the overflow, carry and zero flags respectively, if the arithmetic unit of the CPU uses 2's complement form?
GateOverflow

Q32.

Consider the following representation of a number in IEEE 754 single-precision floating point format with a bias of 127. S:1E:10000001F:11110000000000000000000 Here, S,E and F denote the sign, exponent, and fraction components of the floating point representation. The decimal value corresponding to the above representation (rounded to 2 decimal places) is ____________.
GateOverflow

Q33.

A computer uses ternary system instead of the traditional systen, An n bit string in the binary system will occupy
GateOverflow

Q34.

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

Q35.

The base (or radix) of the number system such that the following equation holds is_______. \frac{312}{20}=13.1
GateOverflow

Q36.

When two BCD numbers 0\times14 and 0\times08 are added what is the binary representation of the resultant number ?
GateOverflow

Q37.

The Excess-3 code is also called
GateOverflow

Q38.

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:
GateOverflow

Q39.

Consider the unsigned 8-bit fixed point binary Number System below, b_7 b_6 b_5 b_4 b_3 . b_2 b_1 b_0 where the position of the binary point is between b_3 \; and \; b_2. Assume b_7 is the most significant bit. Some of the decimal numbers listed below cannot be represented exactly in the above representation: (i) 31.500 (ii) 0.875 (iii) 12.100 (iv) 3.001 Which one of the following statements is true?
GateOverflow

Q40.

Which of the following binary number is the same as its 2's complement ?
GateOverflow