List of top Digital Logic Questions on Computer Arithmetic

The number of 1's in the binary representation of (3 * 4096 +15 * 256 + 5 * 16+3) are
A 2's - complement adder - subtracter can add or subtract binary numbers. Sign-magnitude numbers represent______ decimal numbers, and 2's complements stand for______decimal numbers.
Given the following binary number in 32-bit (single precision) IEEE-754 format :
00111110011011010000000000000000
The decimal value closest to this floating point number is
Let R1 and R2 be two 4-bit registers that store numbers in 2's complement form. For the operation R1 + R2, which one of the following values of R1 and R2 gives an arithmetic overflow?
Consider three floating point numbers \(A\), \(B\) and \(C\) stored in registers \(R_A\), \(R_B\) and \(R_C\), respectively as per IEEE-754 single precision floating point format. The 32-bit content stored in these registers (in hexadecimal form) are as follows. \(R_A = 0xC1400000\), \(R_B = 0x42100000\), \(R_C = 0x41400000\) Which one of the following is FALSE?