GATE PYQ

Digital Logic

Q121.
Given the following binary number in 32-bit (single precision) IEEE-754 format: 00111110011011010000000000000000 The decimal value closest to this floating- point number is

Q122.
The code which uses 7 bits to represent a character is :

Q123.
Consider three registers R1, R2, and R3 that store numbers in IEEE-754 single precision floating point format. Assume that R1 and R2 contain the values (in hexadecimal notation) 0x42200000 and 0xC1200000, respectively. If R3=\frac{R1}{R2}, what is the value stored in R3?

Q124.
Given \sqrt{224_{r}}=13_{r} the value of radix r is

Q125.
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?

Q126.
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 ____________.

Q127.
A computer uses ternary system instead of the traditional systen, An n bit string in the binary system will occupy

Q128.
The smallest integer that can be represented by an 8-bit number in 2's complement form is

Q129.
The base (or radix) of the number system such that the following equation holds is_______. \frac{312}{20}=13.1

Q130.
When two BCD numbers 0\times14 and 0\times08 are added what is the binary representation of the resultant number ?