October 2006
Intermediate to advanced
544 pages
20h 23m
English
Content preview from Digital Systems: Principles and Design
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262
Digital Systems
Example 11.10
Formulate the problem for implementing an 8-bit digital comparator.
Solution
Equality:
ZF =
()
AB
00
XOR
.
()
AB
11
XOR
()
AB
77
XOR
An XOR circuit when both inputs are 0s or 1s hives output = 0. Hence complement after
an XOR operation between each bit will give 1s only when each bit A
0
... A
7
of A equals B
0
B
7
of B. As XOR between X and Y is X.Y + X.Y, we get the following Boolean expression
in terms of AND-OR arrays for zero sign flag output.
ZF = (
A
0
.B
0
+
A
0
.B
0
) +(
A
1
.B
1
+ A
1
.
B
1
) ... + (
A
7
.B
7
+ A
7
.
B
7
). Figure 11.6(a) shows
the logic circuit from AND-OR array.
Greater ) > *:
0
th
stage P
0
= A
0
.
B
0
; (find whether A
0
> B
0
) (shown
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