Computer Architecture Assignment 1

1 a. Determine the power of each digit for five-digit numbers in base 6

b. Use you result in part a. to convert the base 6 number 24531₆ to decimal

2 Convert the following hexadecimal numbers to decimal

a. 4E₁₆

b. 3D7₁₆

c. 3D70₁₆

3 Some older computers used an 18-bit word to store numbers. What is the decimal range for this word size?

4 Add the following binary and hexadecimal numbers.

a.

101101101

+ 10011011

b .

1BF

+ 1

c .

D3

+8A

d .

1101

1010

111

+101

5. a. 1101

X 101

b. 11011

X1011

6 Use the powers of each digit in base 8 to convert the decimal number 6026 to octal

7 Using the division method to convert the following decimal numbers to binary

a. 4098

b. 71269

c. 37

8 Convert the following hexadecimal numbers to binary

a. 4 F 6 A

b. 9 9 0 2

9 Convert the following numbers from their given base to decimal

a. 0.1001001₂

b. 0.2A1₁₂

10 Convert the following number from decimal to binary and then to hexadecimal

27.625