Discrete Mathematics Answers

Design a circuit that generates 9's compliment of a BCD digit. Optimize your functions, taking advantage of don't care conditions where necessary, and implement using only 2-input NOR gates.

Explain and illustrate why a NAND gate is considered a universal gate

implement a two-level OR-AND logic circuit given the truth table of 3 inputs below:

A B C F

0 0 0 0

0 0 1 0

0 1 0 1

0 1 1 1

1 0 0 0

1 0 1 1

1 1 0 1

1 1 1 0

Given that F(X,Y,Z) = "\\bar{X}" + Z(X+"\\bar{Y}" ) use algebraic manipulation to derive the canonical POS expression for F

Do the following in given bases

a) B6F₁₆-374₈. give answer in base 2

b) 01000101_BCD - 709₁₀ in 8-bit 2's complement

Perform following conversion

a) 011101110₂ to gray code

b) 10110111 gray code to binary

c) 566₁₀ to 84-2-1 code

d) -89₁₀ to 8-bit sign magnitide and 1's complement