FPGA Center



NUMERAL SYSTEMS

Decimal Numeral System


Decimal Numbers are normally the numbers that we use in our lives.
1 , 34 ,45.89 109




 Binary Numeral System

It is the numbering system that consists of 0 and 1’s.
10001, 1110, 11.0011




 Conversion of Decimal to Binary:

 1) Let’s calculate the binary value of decimal number 62:



62= 111110

2)
Let’s calculate the binary value of decimal number 0,6875:

0,6875  x 2 = 1,375   4.Digit (most sinificant digit)
0.375    x 2  = 0,75    3.Digit
0.75      x 2  =1.5       2.Digit
0.5        x 2= 1           1.Digit (least significant digit)
0,6875= 0.1011




 Octal ve Hexadecimal Numeral System

The octal system is the base-8 number system and uses the digits 0 to 7.
http://www.fpganedir.com/Say%C4%B1sal%20Tasar%C4%B1m/sayi%20sistem/resim/octal.png

Hexadecimal Numeral System is the base-16  number system and uses the digits of 1 to 9 and letters  of A to F.
http://www.fpganedir.com/Say%C4%B1sal%20Tasar%C4%B1m/sayi%20sistem/resim/hexade.png

A=10
B=11
C=12
D=13
E=14
F=15


 BCD Numeral System (Binary-Coded Decimal)

In this coding, each digits of a decimal number are indicated by four-bit binary numbers.

 

 

project                                                                                                                                  Test_bench

                                                                                                                                    

 

                                                                                                                                                                                                                                                                   

Home | Fpga | VHDL | VHDL Dictionary | Digital Design | Simulation | PCB | Examples | Contact Us
Copyright © 2010 - 2013 FPGAcenter. All Rights Reserved.