In this problem, you will design a logic circuit to display the six faces of a die using 7 LEDs. For example, the value 5 is shown on the display below. A 1 B Your circuit takes three bits UVW as input and outputs the patterns shown in the table below, by lighting up the correspondind LEDs. The LEDs are wired so that a logic 1 output causes the LED to illuminate, and a logic O causes it to be off. For example, for the value 5, the input is UVW=101 and the output is ABCDEFG=1011101. Value Input UVW LED Output 1 001 2 010 3 011 4 100 5 101 6 110 Give the minimal SOP or POS expression, as indicated, for each of the output variables. Syntax: Use' (single quote) after a variable to represent negation, + (plus) to represent OR, and (asterisk) or juxtaposition to represent AND. For example, enter the expression (A + B)Cas (A+B'C. Apos= POS expression Bsop= SOP expression Cpos= POS expression Dpos= POS expression Esop= SOP expression FPOS= POS expression Gsop= SOP expression Save & Grade Unlimited attempts Save only