This preview shows pages 1–2. Sign up to view the full content.
1
Binary Number Systems
1. (one’s complement) Show the operation of

10 + (

5) in 6bit one’s comple
ment.
2. (two’s and one’s complements) We have deFned and learned the idea of two’s
and one’s complements for nbit binary numbers.
DeFne the corresponding
complements using an ndigit system with base 10. Show the arithmetic of

x
+
y
where
x
= 216
10
and
y
= 65
10
in the corresponding complement representations
using a 6digit system with base 10.
3. (two’s and one’s complements) We have deFned and learned the idea of two’s
and one’s complements for nbit binary numbers.
DeFne the corresponding
complements using an ndigit system with base 8. Show the arithmetic of

x

y
where
x
= 120
8
and
y
= 27
8
in the corresponding complement representations
using a 6digit system with base 8.
2
Boolean Algebra
1. (expression in sum of products) Express Boolean function
E
(
x, y, z
) = (
x
+
y
+
x
0
z
)
0
(
x
0
y
0
+
xy
0
z
) in sumofproducts form.
2. (expression in product of sums) Express Boolean function
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview. Sign up
to
access the rest of the document.
 Fall '08
 STAFF

Click to edit the document details