Page 535 - Introduction to Information Optics

520 9. Computing with Optics

Table 9.19
Truth Table for the Three-Step Digit-Set-Restricted
MSD Addition Based on the Digit-Set-Restricted
Reference Digits: the Second Step Rules [144]

1 1 0 1
1 I
1 o\ o T
0 I/ 1 0
0 0 0 0
1 0
0 1
(1 0\ 0 1 0 1 1
u
1J
1 1 0 0 0 0
1 0 1

Table 9.20
Reduced Truth Table for the Three-Step Digit-Set-Restricted MSD Addition with
Digit-Set-Restricted Reference Digits [144]

Step Output Output Input
order function literal function Minterms
Step 1 r>4 1 1 x,y, Id, dl
Step 2 <•,- + ! ] x.-v.-r,. Odj,0, d T,00, ld Tl d 01 , Ild 0 i
.V; ! d f,00, Od,,0, 001,d Tl d T ,l
Step 3 ™ 1 c,s, 10
01
1

Table 9.21
Reduced Truth Table for Digit-Set-Restricted MSD Addition by Combining the
First Two Steps of Table 9.20 into One [144]
Output literal Minterms x^x,-,. 1y,_,

OOld, OOdl, dfidnld, diidndl, diiOdtodyo, Odi^rodio