Digital concept
and
Number system
Chapter 1
Binary Arithmetic
Binary arithmetic
Addition
– Augend +addend +carry-in
= Sum ……carry-out
Subtraction,
– Minuend –subtrahend -borrow-in
= difference ……borrow-out
Binary arithmetic
Division,
– Dividend / divisor = quotient …… remainder
Multiplication,
– Multiplicand * multiplier = product
Addition
– Augend +addend = Sum
– 0+0=0 0+1=1
– 1+1=0……1 carry-in
Subtraction
– Minuend –subtrahend = difference
– 0-0=0 1-1=0 1-0=1
– 0-1=1……1 borrow-out
Division
– Achieved by subtraction and shift.
– 1/1=1
– 0/1=0……1 (Quotient …….remainder)
Ex,110 is not divisible by 111
– Quotient=0
– Remainder=110
Multiplication
– Achieved by addition and shift.
– 1*1=1 1*0=0
Homework
8(f),14(a),15(d),22(a)
23(a),30(c,d),31(a,d)