Recent questions tagged number-representation

A full adder and an XOR gate are used to design a digital circuit with inputs $X, Y$, and $Z$, and output $F$, as shown below. The input $Z$ is connected to the carry-in ...

A signed integer has been stored in a byte using the $2$'s complement format. We wish to store the same integer in a $16$ bit word. We shouldcopy the original byte to the...

The $2$'s complement representation of $-17$ is$01110$$01111$$11110$$10001$

$4$-bit $2$'s complement representation of a decimal number is $1000.$ The number is$+8$$0$$-7$$-8$

An equivalent $2^{\prime} s$ complement representation of the $2$'s complement number $1101$ is$110100$$001101$$110111$$111101$

Two $2^{\prime}$ 's complement number having sign bits $x$ and $y$ are added and the sign bit of the result is $z$. Then, the occurrence of overflow is indicated by the B...

The range of signed decimal numbers that can be represented by $6$-bite $1$'s complement number is$-31$ to $+31$$-63$ to $+64$$-64$ to $+63$$-32$ to $+31$

$11001, 1001$ and $111001$ correspond to the $2$'s complement representation of which one of the following sets of number ?$25, 9$ and $57$ respectively$-6,-6$ and $-6$ r...

Decimal $43$ in Hexadecimal and $\text{BCD}$ number system is respectively$\text{B2, 01000011}$$\text{2B, 01000011}$$\text{2B, 00110100}$$\text{B2, 0100 0100}$

A new Binary Coded Pentary (BCP) number system is proposed in which every digit of a base-$5$ number is represented by tis corresponding $3$-bit binary code. For example,...

The two numbers represented in signed $2\text{'s}$ complement form are $\mathrm{P}=11101101$ and $\mathrm{Q}=11100110$. If $\mathrm{Q}$ is subtracted from $\mathrm{P}$, t...

​​​​​​​If $(1235)_{x}\:=\:(3033)_{y}$, where $x$ and $y$ indicate the bases of the corresponding numbers, then$x\:=\:7$ and $y\:=\:5$$x\:=\:8$ and $y\:=\:6$$x\:=\:6$ and ...

The number of bytes required to represent the decimal number $1856357$ in packed BCD (Binary Coded Decimal) form is ___________.