1) (10 points) A practical example of Code-Converters. Braille is a system of raised dots that can be read by a blind person. You are asked to design an encoder circuit that converts Binary Coded Decimal (BCD) numbers to Braille. The Braille patterns for the BCD numbers are shown below in Fig. 1. Fig. 1. Braille representation of digits 0 to 9 Derive a minimum sum-of-product form representation for each of the four Braille dot outputs X. Y, W, Z in terms of a 4-bit BCD number. Denote the 4-bit BCD number as ABCD where A is the most significant bit, and D the least significant bit