Número de dirección en la EEPROM AT24C16 o está duplicada?

Estoy trabajando en EEPROM AT24C16 para un proyecto en particular. De acuerdo con la hoja de datos, debe tener 2048 direcciones y debería poder escribir 1024 int sin firmar en ella [1 int sin firmar por 2 direcciones] pero solo puedo escribir 128 entradas sin firmar en 256 direcciones.

¿Mi EEPROM está duplicado o estoy confundido y solo tiene 256 direcciones? Por favor, ayúdeme a averiguar el número de direcciones en AT24C16.

Código:

#include<p18f4520.h>
#include<i2c.h>  // Required For In-built I2C Routine


#pragma config OSC = HS   /* Sets the oscillator mode HS */
#pragma config WDT = OFF   /* Turns the watchdog timer off */
#pragma config LVP = OFF   /* Turns low voltage programming off */


#define LCD_PORT  LATB
#define LCD_EN  LATDbits.LATD7
#define LCD_RS  LATDbits.LATD6
#define ADDRESS   0xA0

#define LCD_PORT_DIR  TRISB
#define LCD_EN_DIR  TRISDbits.TRISD7
#define LCD_RS_DIR  TRISDbits.TRISD6

#define I2C_SCL    TRISCbits.TRISC3
#define I2C_SDA    TRISCbits.TRISC4

#define AddressU 0
#define AddressL 1

int TempUpper, TempLower;
long int TempValue;
int TempUpper1, TempLower1;
long int TempValue1;

void DelayMS(unsigned int);
void init_lcd();
void command();
void lcd_data(unsigned char);
void Init_MSSP_I2C();



void DelayMS(unsigned int itime) {
    unsigned int i;
    unsigned char j;

    for (i = 0; i < itime; i++)
        for (j = 0; j < 165; j++);
}

void command() {
    LCD_RS = 0  ;
    LCD_EN = 1  ;
    DelayMS(1);
    LCD_EN = 0  ;
    DelayMS(1);
}
void lcd_data(unsigned char dat) {
    LCD_PORT  = dat ;
    LCD_RS    = 1  ;
    LCD_EN    = 1  ;
    LCD_EN    = 0  ;
    DelayMS(1);
}
void init_lcd() {
    LCD_PORT = 0x38 ;   //LCD 2 Lines
    command();
    LCD_PORT = 0x0E;  //Display On,Cursor On
    command();
    LCD_PORT = 0x01;  // Clear LCD
    command();
    LCD_PORT = 0x06;  //Shift Cursor right
    command();
    LCD_PORT = 0x80;  //line 1, position 1
    command();
}

void lcd_string(char rom *str) {
    while (*str)
    { lcd_data(*str++); }

    DelayMS(1);
}
void Init_MSSP_I2C() {
    I2C_SCL = 1                 ;   //      Initilize MSSP For I2C Send Write '1' RC3/SCL
    I2C_SDA = 1                 ;   //      Initilize MSSP For I2C Send Write '1' RC4/SDA
    OpenI2C(MASTER, SLEW_OFF)      ;  //   Start I2C Stop I2C
    SSPADD = 0x18 ;
}

unsigned int e, th, h, t, o, c = 0, g = 0, temp, tempvalue, fu, add = 0, mv = 0;


void main(void) {
    Init_MSSP_I2C();
    LCD_RS_DIR =  0 ;
    LCD_EN_DIR =  0 ;
    LCD_PORT_DIR = 0 ;
    DelayMS(250);   // Wait on Intilization LCD
    init_lcd();
    lcd_string((rom  char *)"Testing 24C02.. ");    // DPTR in 8051 AS
    TempValue = mv;
    add = 0;

    while (add < 512) {
        TempUpper1 = (TempValue >> 8) & 0x00FF;
        TempLower1 = (TempValue & 0x00FF);
        EEByteWrite(ADDRESS, add, TempUpper1);
        DelayMS(10);
        EEByteWrite(ADDRESS, add + 1, TempLower1);
        DelayMS(10);
        TempValue = TempValue + 1;
        add = add + 2;
    }

    init_lcd();
    lcd_string((rom  char *)"END ");

    while (1);

    while (add < 512) {
        TempUpper = EERandomRead(ADDRESS, add);
        TempLower = EERandomRead(ADDRESS, add + 1);
        DelayMS(10);
        add = add + 2;
        TempValue = 0x0000;
        TempValue = TempUpper;
        TempValue = TempValue << 8;
        TempValue = TempValue | TempLower;
        DelayMS(50);
        g = TempValue;
        fu = g / 10000; // gets 1000's value of number to Segments[1]
        temp = g % 10000;
        th = temp / 1000; // gets 1000's value of number to Segments[2]
        temp = temp % 1000;
        h = temp / 100; // gets 100's of number value to Segments[3]
        temp = temp % 100;
        t = temp / 10; // gets 10's value of number to Segments[4]
        o = temp % 10; // gets 1's value of number to Segments[5]
        LCD_PORT = 0xc2;    //line 1, position 1
        command();
        lcd_data(fu | 0x30) ;
        LCD_PORT = 0xc3;    //line 1, position 1
        command();
        lcd_data(th | 0x30) ;
        LCD_PORT = 0xc4;    //line 1, position 1
        command();
        lcd_data(h | 0x30) ;
        LCD_PORT = 0xc5;    //line 1, position 2
        command();
        lcd_data(t | 0x30) ;
        LCD_PORT = 0xc6;    //line 1, position 3
        command();
        lcd_data(o | 0x30) ;
        DelayMS(1000);
    }

    while (1);
}