The 8087 was the first math coprocessor designed by Intel to pair with the 8086 and 8088 processors. It was built to speed up floating point calculations by freeing up the CPU's time and resources. The 8087 introduced 60 new instructions beginning with "F" and contained an control unit and numerical execution unit. It connected to the 8086 via address-data bus lines, status lines, and interrupt/request signals to process floating point operations simultaneously while allowing the CPU to focus on other tasks.

1. Title: 8087-Math Coprocessor
Prepared By:
Tabeen Tasneem
Tazeen Tasneem
Department of Computer Science & Engineering
Rajshashi University of Engineering & Technology, Bangladesh
1

2. CONTENTS
8087 - Math Coprocessor
2
 Introduction
 Data Types
 Pin Diagram
 Architecture
 Control Unit(CU)
 Numerical Execution Unit(NEU)
 Interconnections of 8087 with 8086

3. INTRODUCTION
8087 - Math Coprocessor
3
 8087 was the first math coprocessor for 16-bit processors designed by
Intel.
 It was built to pair with 8086 and 8088.
 The purpose of 8087 was to speed up the computations involving
floating point calculations.
 Addition, subtraction, multiplication and division of simple numbers is
not the coprocessor’s job.
 It does all the calculations involving floating point numbers like scientific
calculations and algebraic functions.

4. INTRODUCTION(cont.)
8087 - Math Coprocessor
4
 By having a coprocessor, which performs all the calculations, it can free
up a lot of CPU’s time.
 This would allow the CPU to focus all of its resources on the other
functions it has to perform.
 This increases the overall speed and performance of the entire system.
 This coprocessor introduced about 60 new instructions available to the
programmer.
 All the mnemonics begin with “F” to differentiate them from the standard
8086 instructions.

5. WHY MATHCOPROCESSOR?
8087 - Math Coprocessor
5
 Floating point operations are complex math operations that require
large registers, complex circuits, and areas on the chip.
 A general data processor avoids this much burden and delegates such
operations to a coprocessor designed specifically for this purpose e.g.
8087 math co-processor for 8086 microprocessor.

6. 8087 DATA TYPES
 Binary Integers
 Packed Decimal Numbers
 Real Numbers
 Temporary Real Format
8087 - Math Coprocessor
6

7. PIN DIAGRAMOF 8087
8087 - Math Coprocessor
7

8. ARCHITECTURE OF 8087
8087 - Math Coprocessor
8
 8087 coprocessor is designed to operate with 8086 microprocessor.
 The microprocessor and coprocessor can execute their respective
instructions simultaneously.
 Microprocessor interprets and executes the normal instruction set and
the coprocessor interprets and executes only the coprocessor
instructions.
 All the coprocessor instructions are ESC instructions, i.e. they start with
“F”.

9. ARCHITECTURE OF 8087(CONT.)
8087 - Math Coprocessor
9

10. ARCHITECTURE OF 8087(CONT.)
8087 - Math Coprocessor
10
 The internal structure of 8087 coprocessor is divided into two major
sections:
• Control Unit (CU)
• Numerical Execution Unit (NEU)

11. CONTROL UNIT(CU)
8087 - Math Coprocessor
11
 It interfaces coprocessor to the microprocessor system bus.
 It also synchronize the operation of the coprocessor and the
microprocessor.
 This unit has a Control Word, Status Word and Data Buffer.
 If an instruction is ESC instruction, then coprocessor executes it.
 If not, then microprocessor executes.

12. NUMERICAL EXECUTION UNIT(NEU)
8087 - Math Coprocessor
12
 This unit is responsible for executing all coprocessor instructions.
 It has an 8 register stack that holds the operands for instructions and
result of instructions.
 The stack contains 8 registers that are 80-bits wide.
Numeric data is transferred inside the coprocessor in two parts:
• 64-bit mantissa bus
• 16-bit exponent bus

13. INTERCONNECTIONS OF 8087 WITH8086
8087 - Math Coprocessor
13

14. INTERCONNECTIONS OF 8087 WITH8086(CONT.)
8087 - Math Coprocessor
14
 Multiplexed address-data bus lines are connected directly from 8086 to
8087.
 The status lines and the queue status lines are connected directly from
8086 to 8087.
 The Request/Grant (RQ/GT0 and RQ/GT1) signals of 8087 are
connected to RQ/GT0 and RQ/GT1 of 8086.
 BUSY signal of 8087 is connected to TEST pin of 8086.

15. INTERCONNECTIONS OF 8087 WITH8086(CONT.)
8087 - Math Coprocessor
15
 Interrupt output INT of the 8087 to NMI input of 8086. This intimates an
error conditions.
 A WAIT instruction is passed to keep looking at its TEST pin, until it
finds pin LOW to indicates that the 8087 has completed the
computation.

16. That’s all FOR TODAY!!
8087 - Math Coprocessor
16
THANK YOU ALL…

17. 8087 - Math Coprocessor
17
ANY QUERIES?