Number System and Code Convertions · Digital Circuits · GATE ECE

A machine has a 32-bit architecture with 1-word long instructions. It has 24 registers and supports an instruction set of size 40. Each instruction ha...

In a number system of base $r$, the equation $x^2 - 12x + 37 = 0$ has $x = 8$ as one of its solutions. The value of $r$ is _______.

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...

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?