GATE ECE
Digital Circuits
Number System and Code Convertions
Previous Years Questions

## Marks 1

The number of bytes required to represent the decimal number 1856357 in packed BCD (Binary Coded Decimal) form is __________ .
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...
Decimal 43 in Hexadecimal and BCD number system is respectively
The range of signed decimal numbers that can be represented by 6-bite 1’s complement number is
4-bit 2’s complement representation of a decimal number is 1000. The number is
The 2’s complement representation of –17 is
An equivalent 2’s complement representation of the 2’s complement number 1101 is
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
2’s complement representation of a 16-bit number (one sign bit and 15 magnitude bits) is FFFI. Its magnitude in decimal representation is
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

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...
11001, 1001 and 111001 correspond to the 2’s complement representation of which one of the following sets of number?
EXAM MAP
Joint Entrance Examination