DIRECTION: Simplify the following given functions into a minimum number of literals using K-mapping, determine the SOP and design the logic circuit.

Write a Boolean expression for the following logic gates，then simplify it.

A seven-segment display is a device composed of 7 elements, as shown in the figure below. Each element is selectively lit to form patterns such as numbers or letters. For example, to display '0', the segments A, B, C, D, E and F have to be simultaneously lit.   A circuit decoder takes in a 4-bit binary number and produces the outputs A, B, C, D, E, F and G. The outputs of the decoder are then fed to the seven-segment display as shown in the figure. The seven-segment display should show the sum of the 4-bit input + 1. For example, if the 4-bit input is 000 , the decoder’s output will lit up the seven-segment display that will show the numerical number 1. This corresponds to the decoder output of 01100002. In the case wherein the 4-bit input = 1001 , the decoder’s output will lit up the seven-segment display that will show the numerical number 0. This corresponds to the decoder output of 1111110 . The decoder’s output line should be logic “1” if the segment will be lit and “0” otherwise.…

The solution is the way to node

Write the Boolean expression that represents the combinational circuit, write the logic table and simplify the following using SOP. Please show complete solution. Thank you!

Consider the following digital logic function F(A, B, C, D,E): F = A'BC + A'C + A'C'D + BD'E' + A'C'E' 1- Convert F into a standard SOP form → F1 2- Convert F into a standard POS form → F2 Show the truth table of F1 and F2 3-

Design a JKFF by using only a DFF and logic gates. Please design on logisim or handwriting

Questions For 74HC42 is an integrated circuit to ------- decoder • BCD ,line • BCD, Decimal • Decimal, line • BCD, Binary for number 7 and 1 there are two segment work together are : •c and d •b and c • a and b •d and a In the half adder logic diagram you need to use the and -gates: O · AND and EX_OR • OR and EX_OR O · EX_OR and NAND • NAND and NOR

please include explanations and full solutions

Using K-map, find a minimal sum of products expression for the following logic function, indicate the distinguished 1-cells. f(A,B,C,D) = Em(0,4,8,12,13,15) + Ed(9, 14)