《数字电》英文版 chapter1-3 Digital concept and Number system

Digital concept an Number system Chapter 1 Binary Arithmetic

Digital concept and Number system Chapter 1 Binary Arithmetic

Binary Arithmetic Binary arithmetic Addition Augend +addend +carry-in =Sum… carry-out Subtraction Minuend -subtrahend -borrow-in z difference .. borrow-out

Binary arithmetic • Addition – Augend +addend +carry-in = Sum ……carry-out • Subtraction , – Minuend –subtrahend -borrow-in = difference ……borrow-out

Binary Arithmetic Binary arithmetic Division Dividend /divisor quotient.. remainder Multiplication Multiplicand x multiplier= product

Binary arithmetic • Division , – Dividend / divisor = quotient …… remainder • Multiplication , – Multiplicand * multiplier = product

inary rithmetic Addition Augend +addend Sum 0+0=00+1=1 1+1=0.…cary-in Subtraction Minuend -subtrahend difference -0- 0=01-1=01-0=1 0-1=1.1 borrow-out

• 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

inary rithmetic 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

• 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

inary rithmetic Multiplication Achieved by addition and shift 1*1=11*0=0 Homework 8(14(a),15(d),22(a) 23(a).30(c,d).31(a,d

• 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)