Arithmetic Using Simulated Qubits - Brain Theory from a Circuits and Systems Perspective - page 123

Fig. 7.17 Producing
decoded outputs

and reversing each to 0 if the corresponding bit is 1. As before C in0 ¼ 1 to give a 2's

complement.
Note for b e, the system copies b or d.

Hence a largest value among a, b, d, e is identified using the carry outs
for d(e)

a or d e, that if a ¼ b or that d ¼

b(a). The output for one of a, b, d, e must be true. This
indentifies an image with the highest priority. A previous chapter employed
AND gates to provide an appropriate output. Alternately, it is possible to use
toggled signals as in Fig. 7.17 .
One of a, b is larger; and one of d, e is larger (The labels a, b, c, d in Fig. 7.17
refer to signals for a d as above). If d or e is larger than b or a,

this signal is used to copy d or e to the output. Remember that only one of d or e is
true. On the other hand if d or e is less than b or a, the bottom line is maintained true.
This signal is used to copy a or b to the output. Only one of a or b is true.
Finally one of a 0 , b 0 , d 0 , e 0 will be true at the output and will direct its associated
recalled image to consciousness.

> b, b > a, d > e, e >

Amazing Mental Calculations

Savants known as “mental calculators” occasionally excel at rapid multiplications,
divisions, roots, powers, and prime number recognition and other calculating skills.
Many savants demonstrate calendar skills. They enjoy asking people for the date of
their birth, and then telling them on which day of the week they were born. The
most common explanation given for their abilities is that savants have apparent
increased ability to remember. While this possibility can account for some savant
skills, it fails to explain others.
Savants, for example, often can identify large prime numbers [ 3 ]. A person
might subconsciously solve the problem of identifying a prime number using
parallel processing. Each register of toggles in an array of registers may be
initialized to hold the large number n in question, as well as a unique integer m.