Number Systems - GATEpaper.in [PDF]

13 Nov 2014 - Previous GATE Questions on Number Systems & Subtraction using 2's Complement Method (1987 to Till Date

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Thursday, November 13, 2014

Previous GATE Questions on Number Systems & Subtraction using 2's Complement Method (1987 to Till Date)

1987 1. The subtraction of a binary number Y from another binary number X, done by adding 2’s compliment of Y to X, results in a binary number without overflow. This implies that the result is a. Negative and is in normal form b. Negative an is in 2’s compliment form c. Positive and is in normal form d. Positive and is in 2’s compliment form Answer: B

Solution : https://www.youtube.com/watch?v=SMBnnJJrDDE

1993 1. 2’s complement representation of a 16 bit number (one sign bit and 15 magnitude bits) is FFFF. Its magnitude in decimal representation is a. 0 b. 1 c. 32,767 d. 65,535 Answer: B Free GATE 2018 Practice Tests from GATEpaper.in

Solution : https://www.youtube.com/watch?v=4ZrEe07cDuQ

1998 1. An equivalent 2’s complement representation of the 2’s complement number is 1101 is a. 110100 b. 001101 c. 110111 d. 111101 Answer: D

Solution : https://www.youtube.com/watch?v=BH31RXqm9Fg for ECE

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2. Two 2’s complement numbers 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 Boolean function

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Answer: C Solution : https://www.youtube.com/watch?v=gFp7C8uuwPM Adsense

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2001 1. The 2’s complement representation of – 17 is a. 01110 b. 101111 c. 11110 d. 10001 Answer: B

Solution : https://www.youtube.com/watch?v=6SQjwYET7cM

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2002 1. 4 – bit 2’s complement representation of a decimal number is 1000. The number is a. +8 b. 0 c. -7 d. -8 Answer: D Solution : https://www.youtube.com/watch?v=cZVj5TPGuWo

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2004 1. The range of signed decimal numbers that can be represented by 6 bit 1’s complement form is a. -31 to +31 b. -63 to +64 c. -64 to +63 d. -32 to +31 Answer: A

Solution : https://www.youtube.com/watch?v=0mvda9-_j6Y

July (5) June (6) May (20) April (27) March (24)

2. 11001, 1001 and 111001 correspond to the 2’s complement representation of which one of the following sets of number? a. 25, 9 and 57 respectively b. -6, -6 and -6 respectively c. -7, -7 and -7 respectively d. -25, -9 and -57 respectively Answer: C

Solution : https://www.youtube.com/watch?v=prvoIVvnID4

2005 1. Decimal 43 in Hexadecimal and BCD number system is respectively a. B2, 0100 0011 b. 2B, 0100 0011 c. 2B, 0011 0100 d. B2, 0100 0100 Answer: B

Solution : https://www.youtube.com/watch?v=5-6JKj9bNzI

2006 1. A new Binary Coded Pentary (BCP) number system is proposed in which every digit of a base-5 number is represented by its corresponding 3-bit binary code. For example, the base-5 number 24 will be represented by its BCP code 010100. In this number system, the BCP code 100010011001 corresponds to the following number in base-5 system a. 423 b. 1324 c. 2201 d. 4231 Answer: D

Solution : https://www.youtube.com/watch?v=9zxiQtnzEH0

2007 1. X = 01110 and Y = 11001 are two 5 bit binary numbers represented in 2’s compliement format. The sum of X and Y represented in 2’s compliment format using 6 bits is a. 100111 b. 001000 c. 000111 d. 101001 Answer: C

Solution : https://www.youtube.com/watch?v=BzttyDg5Psk

2008 1. The two numbers represented in signed 2’s compliment form are P = 11101101 and Q = 11100110. If Q is subtracted from P, the value obtained in signed 2’s compliment form is a. 100000111 b. 00000111 c. 11111001 d. 111111001 Answer: B

Solution : https://www.youtube.com/watch?v=blIZILSmO8o

2014 (from all 4 sets) 1. The number of bytes required to represent the decimal number 1856357 in packed BCD (Binary Coded Decimal) form is …………. Answer: 4

Solution : https://www.youtube.com/watch?v=xAqo_3bT9fI

Posted by GATE paper at 12:44 Labels: GATE Questions, Number Systems

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Vishwambhar Awagan 4 days ago - Shared publicly Please share us latest papers... · Reply



piyush jha 2 months ago - Shared publicly its really helpful sir · Reply



Shubham Satle 2 months ago - Shared publicly Awesome But please also add latest gate questions(2017,2016,2015,2015)etc,ei,ee. · Reply



Anvitha Bandla 4 months ago - Shared publicly isn't the answer of 1st question in 2004 is option d i think u r wrong plz check it (the range of signed no.s indicated using n bits is [-2^(n-1) to + (1+2^(n-1))] +1 2 1

Parag Agarwal 4 months ago - Shared publicly This is too helpful. It helps us in learning new concepgs also. Thank u team!!! · Reply



Arshpreet Singh 5 months ago - Shared publicly thank you sir · Reply



rahul kumar singh 5 months ago - Shared publicly are gajaab · Reply



srinidhi R 6 months ago - Shared publicly Thank u so much sir..plz upload the answers in pdf for....t

ANUSHA REDDY 7 months ago - Shared publicly Great work sir +1 2 1

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Bs tejaswi 10 months ago - Shared publicly TQ soo much sir..Please upload emtl,networks, communications. TQ sooo much ... Helping a lot. · Reply



Ravi shankar 10 months ago - Shared publicly thank u · Reply



Ravi shankar 10 months ago - Shared publicly plz give answers in pdf format +1 2 1

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deepak kumar singh 10 months ago - Shared publicly thank a lot sir.......super · Reply



PAWAN SHIVHARE 11 months ago - Shared publicly sir plz add emt and communication also · Reply



santhosh bhukya 11 months ago - Shared publicly thank u so much sir.. · Reply



harika reddy 11 months ago - Shared publicly superbbb

vinod hadiyal 1 year ago - Shared publicly Very helping

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Bala Raja 1 year ago - Shared publicly In 2008 Gate paper, P-Q is asked for, in 2's complement. The given data itself is in 2's complement. Then why again going for calculating 2's comp of Q. Kindly explain +1 2 1

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Bhawana Gupta 1 month ago Agreed I think answer should be C

Anu Harshini 1 year ago - Shared publicly great job sir... Thank you

vikash kumar 1 year ago - Shared publicly thanks sir plz upload for communication..................

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