Unit 19 Assignment 2

Unit 19 Assignment 2
Combinational logic circuit
In combinatorial logic, the current output depends on the current input. These
are also called time-independent circuits because the output of the circuit
depends only on the current input and not on the previous input. Combination
logic consists of Boolean logic gates whose output is a combination of current
inputs.
Truth Table:
The binary system uses two numbers 0 and 1 therefore the base is 2, and the
power is 3 as there are 3 inputs A, B, and C.
23 = 8
A B C A⋅B A⋅B⋅C (A⋅B)+(A⋅B⋅C) ̅
𝐀 ̅ ⋅B (A⋅B⋅C)+(𝑨
𝑨 ̅ ⋅B) ̅
𝑪 Q
0 0 0 0 0 0 0 0 0 0 0
0 0 1 0 0 0 0 0 0 0 0
0 1 0 0 0 0 1 1 1 1 1
0 1 1 0 0 0 1 1 1 0 1
1 0 0 0 0 0 0 0 0 0 0
1 0 1 0 0 0 0 0 0 0 0
1 1 0 1 0 1 0 0 0 1 1
1 1 1 1 1 1 0 0 0 0 0


Boolean expression for truth table:
̅ ⋅B)+(A⋅B⋅𝐂̅)= Q
(𝐀

i)

,This is a standard logic circuit derived from the boolean expression
using standard standard logic gates. The switches represent the
binary system 0 and 1. If the output is logic 1 from the truth table this
allows the LED or alarm to turn on.

, ii)