a$)$ Develop an algorithm to convert the Decimal numbers to its equivalent Sign$-$Magnitude and Two's complement representation using Flow chart. Verify the developed algorithm by taking Two decimal numbers in the range of $-32$ and convert $to$ its Sign magnitude and Two's complement.

$(b)$ Design $an$ algorithm for the Multiplication $of$ Two Signed numbers. Verify the developed algorithm $by$ taking Two Signed numbers taken earlier $in$ part $(a).$