Computer Science Engineering (CSE) Exam  >  Computer Science Engineering (CSE) Questions  >  X = 01110 and Y = 11001 are two 5-bit binary ... Start Learning for Free
X = 01110 and Y = 11001 are two 5-bit binary numbers represented in two’s complement format. The sum of X and Y represented in two’s complement format using 6 bits is
  • a)
    110111
  • b)
    001000
  • c)
    000111
  • d)
    101001
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
X = 01110 and Y = 11001 are two 5-bit binary numbers represented in tw...
Calculating the sum of two binary numbers in two's complement format:
- First, convert the binary numbers X and Y to decimal form:
X = 01110 = -2^3 + 2^2 + 2^1 = -8 + 4 + 2 = -2
Y = 11001 = -2^4 + 2^3 + 2^0 = -16 + 8 + 1 = -7
- Add the decimal values of X and Y:
-2 + (-7) = -9
- Convert the decimal sum back to binary in 6-bit two's complement format:
9 in binary is 01001
Negate the binary value to get the two's complement: 10111
- Since the sum is negative, the 6-bit two's complement representation is:
000111
Therefore, the correct answer is option C) 000111.
Free Test
Community Answer
X = 01110 and Y = 11001 are two 5-bit binary numbers represented in tw...
To represent a given 5-bit number using 6- bits in a 2's complement representation, we simply copy the MSB bit as it is till we get the required 6 bits, i.e.
X = 01110 = 001110 
Y = 11001 =111001
Ignoring the carry, we get the addition of the two in 2's complement number as:
∴ x + y = 000111
Explore Courses for Computer Science Engineering (CSE) exam

Top Courses for Computer Science Engineering (CSE)

X = 01110 and Y = 11001 are two 5-bit binary numbers represented in two’s complement format. The sum of X and Y represented in two’s complement format using 6 bits isa)110111b)001000c)000111d)101001Correct answer is option 'C'. Can you explain this answer?
Question Description
X = 01110 and Y = 11001 are two 5-bit binary numbers represented in two’s complement format. The sum of X and Y represented in two’s complement format using 6 bits isa)110111b)001000c)000111d)101001Correct answer is option 'C'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about X = 01110 and Y = 11001 are two 5-bit binary numbers represented in two’s complement format. The sum of X and Y represented in two’s complement format using 6 bits isa)110111b)001000c)000111d)101001Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for X = 01110 and Y = 11001 are two 5-bit binary numbers represented in two’s complement format. The sum of X and Y represented in two’s complement format using 6 bits isa)110111b)001000c)000111d)101001Correct answer is option 'C'. Can you explain this answer?.
Solutions for X = 01110 and Y = 11001 are two 5-bit binary numbers represented in two’s complement format. The sum of X and Y represented in two’s complement format using 6 bits isa)110111b)001000c)000111d)101001Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Computer Science Engineering (CSE). Download more important topics, notes, lectures and mock test series for Computer Science Engineering (CSE) Exam by signing up for free.
Here you can find the meaning of X = 01110 and Y = 11001 are two 5-bit binary numbers represented in two’s complement format. The sum of X and Y represented in two’s complement format using 6 bits isa)110111b)001000c)000111d)101001Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of X = 01110 and Y = 11001 are two 5-bit binary numbers represented in two’s complement format. The sum of X and Y represented in two’s complement format using 6 bits isa)110111b)001000c)000111d)101001Correct answer is option 'C'. Can you explain this answer?, a detailed solution for X = 01110 and Y = 11001 are two 5-bit binary numbers represented in two’s complement format. The sum of X and Y represented in two’s complement format using 6 bits isa)110111b)001000c)000111d)101001Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of X = 01110 and Y = 11001 are two 5-bit binary numbers represented in two’s complement format. The sum of X and Y represented in two’s complement format using 6 bits isa)110111b)001000c)000111d)101001Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice X = 01110 and Y = 11001 are two 5-bit binary numbers represented in two’s complement format. The sum of X and Y represented in two’s complement format using 6 bits isa)110111b)001000c)000111d)101001Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Computer Science Engineering (CSE) tests.
Explore Courses for Computer Science Engineering (CSE) exam

Top Courses for Computer Science Engineering (CSE)

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev