Homework #5

Problem 1

Convert the following binary numbers to decimal:

• 10110101
• 11001

Problem 2

Convert the following decimal numbers to binary:

• 274
• 1997

Problem 3

Convert the following numbers into 10-bit 2's complement binary numbers:

• -500
• 274
• -2

Problem 4

Show how to add -300 and 500 as 10-bit 2's complement binary numbers.

Problem 5

Write your last name out in its binary ASCII representation.

Problem 6

Show how to represent, or really approximate, the number 613.278 as a floating point number using a 23-bit mantissa, a 1-bit sign, and an 8-bit exponent using excess-127 notation.