Multiplcation of Decimal using Matrix

Here is my another implementation of multiplication of decimal

number.As my previous blog i am using matrix & tables of 1to 9,

to complete whole multiplication.

Multiplication of rational numbercan also be implemented using

same algorithm just by converting those fractions by sufficient

power of ten & then readjusting result decimal point.

Code:

from collections import defaultdict

import math

decimalMultiplicand: int = 378

decimalMultiplier: int = 24

# 378/23 = 8694

def decimalToArray(n):

return [int(digit) for digit in str(n)]

def getMultiplication(multiplicand: int, multiplier: int):

try:

multiplicandArray = decimalToArray(decimalMultiplicand)

multiplierArray = decimalToArray(multiplier)

alternateMultiplicationSequenceDict = defaultdict(list)

# finding size of each decimal number

multiplicandLength = len(multiplicandArray)

multiplierLength = len(multiplierArray)

total = multiplicandLength + multiplierLength

muliplicationMatrix = [[] * total for _ in range(total)]

print(f"Multiplying:'{multiplicand}' by '{multiplier}'")

# i counter for operand & j counter for operator

i = 0

while i < multiplicandLength:

j = 0

while j < multiplierLength:

k = multiplicandArray[multiplicandLength - i - 1]

l = multiplierArray[multiplierLength - j - 1]

multiplication = k * l

zeroPosition = multiplication % 10

onePosition = multiplication // 10

alternateMultiplicationSequenceDict[zeroPosition].append({

"operandDecimalPosition": i,

"operatorDecimalPosition": j,

"multipleOfTen": False

})

alternateMultiplicationSequenceDict[onePosition].append({

"operandDecimalPosition": i,

"operatorDecimalPosition": j,

"multipleOfTen": True

})

muliplicationMatrix[i+j].append(zeroPosition)

muliplicationMatrix[i+j+1].append(onePosition)

j = j+1

i = i+1

i = 0

rowSum =0

multiplication = 0

while i < total:

j = 0

while j < len(muliplicationMatrix[i]):

rowSum = rowSum + muliplicationMatrix[i][j]

j=j+1

zeroPosition = rowSum % 10

onePosition = rowSum // 10

rowSum = onePosition

if multiplication <= 0:

multiplication =zeroPosition

else:

multiplication = zeroPosition * 10 ** i + multiplication

i=i+1

print(f"Result:{multiplicand} * {multiplier}={multiplication}")

except Exception as e:

print(f"An error occured:{e}")

raise

getMultiplication(decimalMultiplicand, decimalMultiplier)

Code seems to useful to build decimal circuit that can replace binary circuit

for specific purpose of mathematical calculations.