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Recent questions tagged numberrepresentation
2's complement
2's complement representation
+35
votes
8
answers
1
GATE200343
The following is a scheme for floating point number representation using 16 bits. Bit Position 15 14 .... 9 8 ...... 0 s e m Sign Exponent Mantissa Let s, e, and m be the numbers represented in binary in the sign, exponent, and mantissa fields respectively. Then the ... difference between two successive real numbers representable in this system? $2^{40}$ $2^{9}$ $2^{22}$ $2^{31}$
asked
Sep 17, 2014
in
Digital Logic
by
Kathleen
Veteran
(
52.2k
points)

6.2k
views
gate2003
digitallogic
numberrepresentation
floatingpointrepresentation
normal
+18
votes
4
answers
2
GATE20039
Assuming all numbers are in $2’s$ complement representation, which of the following numbers is divisible by $11111011$? $11100111$ $11100100$ $11010111$ $11011011$
asked
Sep 16, 2014
in
Digital Logic
by
Kathleen
Veteran
(
52.2k
points)

2.4k
views
gate2003
digitallogic
numberrepresentation
normal
+26
votes
4
answers
3
GATE20029
Consider the following $32bit$ floatingpoint representation scheme as shown in the format below. A value is specified by $3$ fields, a one bit sign field (with $0$ for positive and $1$ for negative values), a $24 bit$ fraction field (with the ... the hexadecimal. What is the largest value that can be represented using this format? Express your answer as the nearest power of $10$.
asked
Sep 16, 2014
in
Digital Logic
by
Kathleen
Veteran
(
52.2k
points)

3.3k
views
gate2002
digitallogic
numberrepresentation
normal
descriptive
+17
votes
2
answers
4
GATE20021.21
In $2's$ complement addition, overflow is flagged whenever there is carry from sign bit addition cannot occur when a positive value is added to a negative value is flagged when the carries from sign bit and previous bit match None of the above
asked
Sep 16, 2014
in
Digital Logic
by
Kathleen
Veteran
(
52.2k
points)

2.3k
views
gate2002
digitallogic
numberrepresentation
normal
+19
votes
4
answers
5
GATE20021.16
Sign extension is a step in floating point multiplication signed $16$ bit integer addition arithmetic left shift converting a signed integer from one size to another
asked
Sep 15, 2014
in
Digital Logic
by
Kathleen
Veteran
(
52.2k
points)

1.9k
views
gate2002
digitallogic
easy
numberrepresentation
+17
votes
4
answers
6
GATE20021.15
The $2's$ complement representation of the decimal value $15$ is $1111$ $11111$ $111111$ $10001$
asked
Sep 15, 2014
in
Digital Logic
by
Kathleen
Veteran
(
52.2k
points)

1.4k
views
gate2002
digitallogic
numberrepresentation
easy
+18
votes
3
answers
7
GATE20021.14
The decimal value $0.25$ is equivalent to the binary value $0.1$ is equivalent to the binary value $0.01$ is equivalent to the binary value $0.00111$ cannot be represented precisely in binary
asked
Sep 15, 2014
in
Digital Logic
by
Kathleen
Veteran
(
52.2k
points)

1.5k
views
gate2002
digitallogic
numberrepresentation
easy
+20
votes
3
answers
8
GATE20012.10
The $2's$ complement representation of (539)10 in hexadecimal is $ABE$ $DBC$ $DE5$ $9E7$
asked
Sep 14, 2014
in
Digital Logic
by
Kathleen
Veteran
(
52.2k
points)

3.7k
views
gate2001
digitallogic
numberrepresentation
easy
+24
votes
2
answers
9
GATE20002.14
Consider the values of $A$ = 2.0 x 10$^{30}$, $B$ = 2.0 x 10$^{30}$, $C$ = 1.0, and the sequence X:= A + B Y:= A + C X:= X + C Y:= Y + B executed on a computer where floating point numbers are represented with $32$ bits. The values for $X$ and $Y$ will be $X = 1.0, Y = 1.0$ $X = 1.0, Y = 0.0$ $X = 0.0, Y = 1.0$ $X = 0.0, Y = 0.0$
asked
Sep 14, 2014
in
Digital Logic
by
Kathleen
Veteran
(
52.2k
points)

3.4k
views
gate2000
digitallogic
numberrepresentation
normal
+22
votes
4
answers
10
GATE20001.6
The number $43$ in $2's$ complement representation is $01010101$ $11010101$ $00101011$ $10101011$
asked
Sep 14, 2014
in
Digital Logic
by
Kathleen
Veteran
(
52.2k
points)

3k
views
gate2000
digitallogic
numberrepresentation
easy
+10
votes
3
answers
11
GATE19924a
Consider addition in two's complement arithmetic. A carry from the most significant bit does not always correspond to an overflow. Explain what is the condition for overflow in two's complement arithmetic.
asked
Sep 13, 2014
in
Digital Logic
by
Kathleen
Veteran
(
52.2k
points)

671
views
gate1992
digitallogic
normal
numberrepresentation
+26
votes
1
answer
12
GATE199101v
When two $4bit$ numbers $A = a_3a_2a_1a_0$ and $B=b_3b_2b_1b_0$ are multiplied, the bit $c_1$ of the product $C$ is given by ________
asked
Sep 12, 2014
in
Digital Logic
by
Kathleen
Veteran
(
52.2k
points)

1.1k
views
gate1991
digitallogic
normal
numberrepresentation
+15
votes
4
answers
13
GATE199101iii
Consider the number given by the decimal expression: $16^3*9 + 16^2*7 + 16*5+3$ The number of $1’s$ in the unsigned binary representation of the number is ______
asked
Sep 12, 2014
in
Digital Logic
by
Kathleen
Veteran
(
52.2k
points)

1.2k
views
gate1991
digitallogic
numberrepresentation
normal
+19
votes
2
answers
14
GATE20086
Let $r$ denote number system radix. The only value(s) of $r$ that satisfy the equation $\sqrt{121_r}={11}_r$, is/are decimal $10$ decimal $11$ decimal $10$ and $11$ any value > $2$
asked
Sep 11, 2014
in
Digital Logic
by
Kathleen
Veteran
(
52.2k
points)

2.5k
views
gate2008
digitallogic
numberrepresentation
normal
+19
votes
2
answers
15
GATE20127
The decimal value $0.5$ in IEEE single precision floating point representation has fraction bits of $000\dots 000$ and exponent value of $0$ fraction bits of $000\dots 000$ and exponent value of $−1$ fraction bits of $100\dots 000$ and exponent value of $0$ no exact representation
asked
Aug 5, 2014
in
Digital Logic
by
gatecse
Boss
(
16.8k
points)

3.4k
views
gate2012
digitallogic
normal
numberrepresentation
ieeerepresentation
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