Number System with Base 2
Binary Number
0011 converted to decimal
3
NOR, NAND
Universal Gates
No. of NOR gates needed to implement AND gate
3
The No of Combination for four variables
16
One nibble is equal to how many bits
4 bits
(312)8 into decimal
(202)10
Output is only on if both inputs are on
AND Gate
If I need a light to turn on when 2 switches are turned on, what gate do I need?
AND
(AB)' = A' + B'
DeMorgan's Law
Number system represents 0000 to 1111
Hexadecimal
hexadecimal number (1E.43)16 = ( ? )8
(36.206)8
Has output only if both inputs are off or on. If one input is on, there is no output.
XNOR
Design Half Adder
The logical sum of two or more than two logical products is termed as
SOP
multiply XP is to convert?
X= Base
P= Position value
Any number system to Decimal
Convert 1011101010111110 to Base 16
BABE
Output low only when all inputs are high
NAND gate
AB + AC + BC and A ⊕ B ⊕ C are the outputs of which circuit.
Full Adder
Sum and Carry
x'y'z'+x'y'z'+x'y'+xy' Simplify
y'
The Number of binary digits in the binary representation of 257 are
9
(106)10 = (211)x find X
X=7
Suppose the output of an XNOR gate is 1. Determine the digital values of A and B inputs.
A = 0, B = 0
A = 1, B = 1
combinations of input values and outputs is called
Truth Table
A variable or the complement of the variable in Boolean Algebra is called
Literal