EECS 31/CSE 31/ICS 151 Homework 1 Questions

View Questions with Strategies
View Questions with Solutions

Problem 1

Question

(Number conversion) Give the binary equivalents of the following hexadecimal numbers.

1. 123.45
2. 1000.50
3. BAD.CAB
4. DA7.35C

Problem 2

Question

(Number conversion) Find the decimal equivalents of the following radix-7 numbers.

1. 606
2. 123
3. 6650
4. 345.6

Problem 3

Question

(Addition rules) Add the following numbers without converting them to decimal representations.

1. 01110(binary) and 110011(binary)
2. 98A(base 12) and 234 (base 12)
3. ABC(Hexadecimal) and A78(Hexadecimal)

Problem 4

Question

(Subtraction rules) Perform binary subtraction by taking the two's complement of the subtrahend.

1. 101110-10001
2. 111111-11110
3. 11110-1001
4. 100001-10001

Problem 5

Question

(Multiplication rules) Perform binary multiplication with the following two's complement numbers.

1. 011011 * 0011

Problem 6

Question

(Division rules) Divide the following binary numbers.

1. 11011/1001

Problem 7

Question

(Division algorithms) Define the procedure and draw the flowchart for the division of:

1. Sign-magnitude binary numbers.

Problem 8

Question

(Floating-point algorithms) Define the procedure for:

1. adding
2. multiplying