# Recent questions tagged number-representation

1
The format of the single-precision floating point representation of a real number as per the $\text{IEEE 754}$ ... $=00000000$ and mantissa $=0000000000000000000000001$ exponent $=00000001$ and mantissa $=0000000000000000000000000$ exponent $=00000001$ and mantissa $=0000000000000000000000001$
2
If $x$ and $y$ are two decimal digits and $(0.1101)_2 = (0.8xy5)_{10}$, the decimal value of $x+y$ is ___________
3
If the numerical value of a $2$-byte unsigned integer on a little endian computer is $255$ more than that on a big endian computer, which of the following choices represent(s) the unsigned integer on a little endian computer? $0\text{x}6665$ $0\text{x} 0001$ $0\text{x} 4243$ $0\text{x} 0100$
4
Let the representation of a number in base $3$ be $210$. What is the hexadecimal representation of the number? $15$ $21$ $\text{D}2$ $528$
1 vote
5
Consider the following representation of a number in $\text{IEEE 754}$ single-precision floating point format with a bias of $127$.$S: 1\quad\quad E:\; 10000001\quad\quad F:\;11110000000000000000000$ Here $S, \;E$ and $F$ denote the ... components of the floating point representation. The decimal value corresponding to the above representation (rounded to $2$ decimal places) is ____________.
6
Consider the (decimal) number $182$, whose binary representation is $10110110$. How many positive integers are there in the following set?$\{n\in \mathbb{N}: n\leq 182 \text{ and n has } \textit{exactly four} \text{ ones in its binary representation}\}$ $91$ $70$ $54$ $35$ $27$
1 vote
7
Find the complement of the following boolean expressions x’y + xy’ (AB’ + C)D’ + E AB(CD’ + C’D) + A’B’(C + D’)(C’ + D) (X + Y’ + Z)(X’ + Z’)(X + Y)
1 vote
8
Show the content of the each of the registers if the two binary numbers added have decimal equivalent 257 and 514.
9
Express the switching Circuit shown in the figure in binary Logic notation.