# Number System and Code Convertions · Digital Circuits · GATE ECE

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## Marks 1

GATE ECE 2014 Set 2
The number of bytes required to represent the decimal number 1856357 in packed BCD (Binary Coded Decimal) form is __________ .
GATE ECE 2007
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...
GATE ECE 2005
Decimal 43 in Hexadecimal and BCD number system is respectively
GATE ECE 2004
The range of signed decimal numbers that can be represented by 6-bite 1’s complement number is
GATE ECE 2002
4-bit 2’s complement representation of a decimal number is 1000. The number is
GATE ECE 2001
The 2’s complement representation of –17 is
GATE ECE 1998
An equivalent 2’s complement representation of the 2’s complement number 1101 is
GATE ECE 1997
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 should
GATE ECE 1993
2’s complement representation of a 16-bit number (one sign bit and 15 magnitude bits) is FFFI. Its magnitude in decimal representation is
GATE ECE 1987
The subtraction of a binary number Y from another binary number X, done by adding the 2's complement of Y to X, result in a binary number without over...

## Marks 2

GATE ECE 2006
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 co...
GATE ECE 2004
11001, 1001 and 111001 correspond to the 2’s complement representation of which one of the following sets of number?
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