Method for determining the square root of a long-bit number...

Electrical computers: arithmetic processing and calculating – Electrical digital calculating computer – Particular function performed

Reexamination Certificate

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Reexamination Certificate

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06944641

ABSTRACT:
In a method for determining the square root of a long-bit number using a short-bit processor, the long-bit number is assumed to be c×22K+d, where c, d<22k, and its solution is assumed to be (a×2K+b)2. The ‘a’ is determined by using a bisection method to obtain the floor value of the square root of ‘c’. In order to obtained the value of ‘b’, there is derived a successive substitution equation: b[n]=(c−a2)×22k+(d−b[n−1]2)/22(k+1). An initial value is given to ‘b’ to execute the successive substitution equation recursively several times until the equation is convergent.

REFERENCES:
patent: 4949296 (1990-08-01), Malinowski
patent: 5159566 (1992-10-01), Briggs et al.
patent: 5386375 (1995-01-01), Smith
patent: 6625632 (2003-09-01), Kotlov

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