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2's complement
2's complement representation
Recent questions tagged number-representation
65
votes
9
answers
361
GATE CSE 2003 | Question: 43
The following is a scheme for floating point number representation using $16$ bits. Let $s, e,$ and $m$ ... between two successive real numbers representable in this system? $2^{-40}$ $2^{-9}$ $2^{22}$ $2^{31}$
Kathleen
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in
Digital Logic
Sep 17, 2014
by
Kathleen
18.0k
views
gatecse-2003
digital-logic
number-representation
floating-point-representation
normal
27
votes
5
answers
362
GATE CSE 2003 | Question: 9
Assuming all numbers are in $2’s$ complement representation, which of the following numbers is divisible by $11111011$? $11100111$ $11100100$ $11010111$ $11011011$
Kathleen
asked
in
Digital Logic
Sep 16, 2014
by
Kathleen
10.4k
views
gatecse-2003
digital-logic
number-representation
normal
38
votes
4
answers
363
GATE CSE 2002 | Question: 9
Consider the following $32\text{-bit}$ floating-point 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 $1$ ... the hexadecimal. What is the largest value that can be represented using this format? Express your answer as the nearest power of $10$.
Kathleen
asked
in
Digital Logic
Sep 15, 2014
by
Kathleen
11.5k
views
gatecse-2002
digital-logic
number-representation
normal
descriptive
30
votes
3
answers
364
GATE CSE 2002 | Question: 1.21
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
Kathleen
asked
in
Digital Logic
Sep 15, 2014
by
Kathleen
9.2k
views
gatecse-2002
digital-logic
number-representation
normal
34
votes
4
answers
365
GATE CSE 2002 | Question: 1.16
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
Kathleen
asked
in
Digital Logic
Sep 15, 2014
by
Kathleen
6.6k
views
gatecse-2002
digital-logic
easy
number-representation
27
votes
6
answers
366
GATE CSE 2002 | Question: 1.15
The $2's$ complement representation of the decimal value $-15$ is $1111$ $11111$ $111111$ $10001$
Kathleen
asked
in
Digital Logic
Sep 15, 2014
by
Kathleen
9.9k
views
gatecse-2002
digital-logic
number-representation
easy
23
votes
3
answers
367
GATE CSE 2002 | Question: 1.14
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
Kathleen
asked
in
Digital Logic
Sep 15, 2014
by
Kathleen
5.8k
views
gatecse-2002
digital-logic
number-representation
easy
29
votes
4
answers
368
GATE CSE 2001 | Question: 2.10
The $2's$ complement representation of (-539)10 in hexadecimal is $ABE$ $DBC$ $DE5$ $9E7$
Kathleen
asked
in
Digital Logic
Sep 14, 2014
by
Kathleen
12.0k
views
gatecse-2001
digital-logic
number-representation
easy
41
votes
4
answers
369
GATE CSE 2000 | Question: 2.14
Consider the values of $A = 2.0 \times 10^{30}, B = -2.0 \times 10^{30}, C = 1.0,$ 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 $X = 1.0, Y = 1.0$ $X = 1.0, Y = 0.0$ $X = 0.0, Y = 1.0$ $X = 0.0, Y = 0.0$
Kathleen
asked
in
Digital Logic
Sep 14, 2014
by
Kathleen
12.0k
views
gatecse-2000
digital-logic
number-representation
normal
38
votes
4
answers
370
GATE CSE 2000 | Question: 1.6
The number $43$ in $2's$ complement representation is $01010101$ $11010101$ $00101011$ $10101011$
Kathleen
asked
in
Digital Logic
Sep 14, 2014
by
Kathleen
11.0k
views
gatecse-2000
digital-logic
number-representation
easy
16
votes
3
answers
371
GATE CSE 1992 | Question: 4-a
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.
Kathleen
asked
in
Digital Logic
Sep 13, 2014
by
Kathleen
2.6k
views
gate1992
digital-logic
normal
number-representation
descriptive
37
votes
1
answer
372
GATE CSE 1991 | Question: 01-v
When two $4$-bit 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 ________
Kathleen
asked
in
Digital Logic
Sep 12, 2014
by
Kathleen
4.8k
views
gate1991
digital-logic
normal
number-representation
fill-in-the-blanks
25
votes
5
answers
373
GATE CSE 1991 | Question: 01-iii
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 ______
Kathleen
asked
in
Digital Logic
Sep 12, 2014
by
Kathleen
8.2k
views
gate1991
digital-logic
number-representation
normal
numerical-answers
29
votes
2
answers
374
GATE CSE 2008 | Question: 6
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 $> 2$
Kathleen
asked
in
Digital Logic
Sep 11, 2014
by
Kathleen
11.7k
views
gatecse-2008
digital-logic
number-representation
normal
39
votes
2
answers
375
GATE CSE 2012 | Question: 7
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
gatecse
asked
in
Digital Logic
Aug 5, 2014
by
gatecse
11.4k
views
gatecse-2012
digital-logic
normal
number-representation
ieee-representation
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