Spring 2001 CSCI 255 Homework 1 Solution

Problem 1

Convert the following numbers from decimal into ten-bit twos-complement notation.

Problem 2

Convert the following ten-bit twos-complement numbers into decimal numbers.

Problem 3

What are the largest and smallest numbers that can be expressed as a six-bit twos-complement number?

The smallest is -32 (10000) and the largest is 31 (011111). In general, if n is the width of the twos complement number, the smallest possible number is -2^n-1 and the largest possible number is 2^n-1-1,

Problem 4

Express the following decimal numbers in base 6: