Spring 2001 CSCI 255 Homework 1

You must show your work to receive full credit. This assignment is due Monday, 22 January.

Problem 1

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

• 431
• -400
• 1
• -11

Problem 2

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

• 0011001100
• 1110001110
• 0000000000
• 1111111100

Problem 3

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

Problem 4

Express the following decimal numbers in base 6:

• 13
• 20