Answered: In Assembly code: We have seen that…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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In Assembly code: We have seen that multiplication by a power of two is easy with binary numerals: To
multiply a number by 2^p corresponds to p left shifts. This works both for signed and
unsigned numbers as long as we are careful with the range.
Below is an attempt on a subroutine to multiply by a positive power of two. As noted in
the contract, the assumption is that p is a strictly positive integer (i.e., 1, 2, 3 etc.).

What happens when this subroutine is called with R5 = 3 and R6 = 11? Give a short
but precise answer at the register level of the MCU

; Subroutine: times_power_of_two
; input: R5 16-bit strictly positive number p --
;
R6 16-bit number x
;
; output: R6 16-bit number y = x*2^p
;
;
y is obtained by p left-shifts
times_power_of_2:
push
rla.w R6
dec.w R5
jne
R5
pop
ret
times_power_of_2
R5
returned unchanged

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