Assume that a digital circuit represents numbers in 8-bit. In this circuit what is the 1’s and 2’s complement representations of -51 and +127?

Which of the following representations in two’s complement notation represents the largest value?

Use the definition of radix complement to find the radix complement and diminished radix complement of: (a) the base 2 number 10111, and (b) the base 5 number 01234.

In single precision (IEEE-754 standard), 8 bits are used for storing the exponent (the bias is 127), and 23 bits are used for storing the mantissa.  (a) What are the smallest and the largest positive numbers that can be stored in single precision? (b) What is the smallest value of the mantissa that can be stored?