MAT 243 Week 9/15 Written Homework
(a) (1 point) Convert the hexadecimal number FA to decimal and show
(b) (1 point) Convert the decimal number 1001 to octal and show your
(c) (1 point) Carry out the hexadecimal addition CA10 + 4F57 directly
in hexadecimal. Show your work.
convert the numbers to
decimal, add them in decimal and convert the sum back to hexadec-
(d) (1 point) Carry out the binary multiplication 11011 times 1001 using
only left bit shifts and addition. Show your work.
(a) (1 point) Explain how you multiply an octal number
octal by (10)
. Illustrate your general explanation with
(b) (1 point) Explain how you divide an octal number directly in octal
. Here, divide means to carry out the division algorithm and
to find both quotient and remainder. Illustrate your general expla-
3. (3 points) Given an integer
, show that you can multiply
by 35 using
only five multiplications by 2, two additions and storing intermediate re-
sults in memory.