Digital Circuits

Analog and Digital Signals

Noise margins in Logic Circuits

Noise margins in Logic Circuits

Digital to Binary ConversionConversion of the integer part

Digital to Binary ConversionConversion of the fractional part

Binary Addition

Binary Coded Decimal and Hexadecimal Representation3786.1=0011 0111 1000 0110. 0001BCDTo get BCD replace each digit by a group of 4 bitsBinary to hexadecimal conversion (0,1,..9,A,..,F)1110 1010 1001 0101=EA9516Exercise: Represent 25 by its BCD and binary codes

Binary Coded Decimal and Hexadecimal Representation3786.1=0011 0111 1000 0110. 0001BCDTo get BCD replace each digit by a group of 4 bitsBinary to hexadecimal conversion (0,1,..9,A,..,F)1110 1010 1001 0101=EA9516Exercise: Represent 25 by its BCD and binary codes25/2 = 12 rem 112/2 = 6 rem 06/2 = 3 rem 03/2 = 1 rem 11/2 = 0 rem 1 25 = 0010 0101BCD25 = 0001 1001

Binary and Grey Codes

Binary and Grey Codes

Twos Complement and Binary AdditionOnes complement id obtained by inverting all the bitsTwos complement is obtained as ones complement + 1

Positive and Negative Binary NumbersSigned twos complement of a number is used a the negative number value. This can be used in subtraction operation.

Positive and Negative Binary NumbersThis can be used in subtraction operation.

To subtract number B from A we add twos complement of B to AExample: Compute A-B=25-11 using binary adders

Find binary representations A= , B= Find twos complement of B -B= Add A+(-B) using binary notation

Positive and Negative Binary NumbersThis can be used in subtraction operation.

To subtract number B from A we add twos complement of B to AExample: Compute A-B=25-11 using binary adders

Find binary representations A=011001, B=001011Find twos complement of B -B=110101Add A+(-B) using binary notation 011001+110101 001110 = 14

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