1-3 Binary arithmetic.ppt

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)