7-segment LED (Light Emitting Diode) or LCD (Liquid Crystal Display) type displays, provide a very convenient way of displaying information or digital data in the form of numbers, letters or even alpha-numerical characters. Typically 7-segment displays consist of sevenindividual colored LEDs (called the segments), within one single display package

Binary Coded Decimal: Binary Coded Decimal (BCD) numbers are made up using just 4 data bits similar to the Hexadecimal numbers, but unlike hexadecimal numbers that range in full from 0 through to F, BCD numbers only range from 0 to 9, with the binary number patterns of 1010 through to 1111 (A to F) being invalid inputs for this type of display and so are not used as shown below.

A binary coded decimal (BCD) to 7-segment display decoder has 4 BCD inputs and 7 output lines, one for each LED segment. This allows a smaller 4-bit binary number (half a byte) to be used to display all the numbers from 0 to 9.

In this problem, you need to design a decoder that decodes Binary Coded Decimal (BCD) to 7- segment display.

a) Design a Truth Table with 4 bit BCD input (ABCD) and 7 bit output (a, b, c, d, e, f, g). The 1 in the output shows the segments to be highlighted.

b) Design a K-map for each of the 7 output variables and reduce the K-map to obtain the Boolean function.

c) Design a Circuit for the Boolean functions obtained from the K-map