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Why are octal and hexadecimal numbers preferred over binary numbers?

Anonymous

∙ 9y ago

Updated: 4/28/2022

The number of digits required to store a number in binary is substantially greater than that required in octal and even larger than in hex.

Wiki User

∙ 7y ago

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Q: Why are octal and hexadecimal numbers preferred over binary numbers?

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Why do you use octal and hexadecimal number system as shortcut notation?

Memory dump which are in binary numbers would have many numbers of 0s and 1s. working with these numbers would be very difficult. Hence two number system hexadecimal and octal number system is used because these numbers are inter convertible with binary numbers by the concept of bits.

What is the opposite of decimal?

There is no opposite. Decimal is one of many ways of representing numbers. The other ways: binary, octal, hexadecimal etc are equivalent alternatives, not opposites.

Convert the decimal numbers 1987 to binary then to octal?

In binary this number is equivalent to 11111000011 while in octal it is 3703

What is is the highest 8 bit number in hexadecimal?

Oh, dude, you're asking about the highest 8-bit number in hexadecimal? That would be FF, which is 255 in decimal. It's like the king of the 8-bit numbers, ruling over all its binary subjects with its hexadecimal crown. So yeah, FF is the boss in the 8-bit world.

What is the largest 32-bit binary number that can be represented with unsigned numbers?

In binary: 1111 1111 1111 1111 1111 1111 1111 1111 In octal: 37777777777 In hexadecimal: FFFFFFFF in decimal: 2³² - 1 = 4,294,967,295

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Related Questions

Convert 110001100 into its decimal numbers?

The answer depends on what you are converting from: binary, ternary, octal, hexadecimal ...

Convert the hexadecimal number ABCDEF to octal and binary?

Octal = 52746757 Binary = 101010111100110111101111

Why should one study octal and Hexadecimal systems when the digital machine understands only binary system?

Octal and hexadecimal numbers are useful for humans as they compactly represent binary numbers:each octal digit represents exactly 3 binary digitseach hexadecimal number represents exactly 4 binary digitsFor example, instead of trying to read (and remember) the binary number 100111001001 it can be represented as hexadecimal 0x09c9 or octal 04711 which are easier to read (and remember) for humans.

Why do you use octal and hexadecimal number system as shortcut notation?

Memory dump which are in binary numbers would have many numbers of 0s and 1s. working with these numbers would be very difficult. Hence two number system hexadecimal and octal number system is used because these numbers are inter convertible with binary numbers by the concept of bits.

Convert the hexadecimal number 221122 into binary octal and decimal?

221122: Binary = 1000100001000100100010 Octal = 10410442 Decimal = 2232610

Convert binary octal 864BF into hexadecimal?

Okay, I'm pretty sure that 864 binary is 30 hexadecimal. - RG

What is the common property of decimal octal binary and hexadecimal?

1

Write a program that prints a table of the binary, octal and hexadecimal equivalents of the decimal numbers in the range 1 through 256?

import java.util.Scanner; public class NumberSystem { public void displayConversion() { Scanner input = new Scanner(System.in); System.out.printf("%-20s%-20s%-20s%-20s\n", "Decimal", "Binary", "Octal", "Hexadecimal"); for ( int i = 1; i <= 256; i++ ) { String binary = Integer.toBinaryString(i); String octal = Integer.toOctalString(i); String hexadecimal = Integer.toHexString(i); System.out.format("%-20d%-20s%-20s%-20s\n", i, binary, octal, hexadecimal); } } // returns a string representation of the decimal number in binary public String toBinaryString( int dec ) { String binary = " "; while (dec >= 1 ) { int value = dec % 2; binary = value + binary; dec /= 2; } return binary; } //returns a string representation of the number in octal public String toOctalString( int dec ) { String octal = " "; while ( dec >= 1 ) { int value = dec % 8; octal = value + octal; dec /= 8; } return octal; } public String toHexString( int dec ) { String hexadecimal = " "; while ( dec >= 1 ) { int value = dec % 16; switch (value) { case 10: hexadecimal = "A" + hexadecimal; break; case 11: hexadecimal = "B" + hexadecimal; break; case 12: hexadecimal = "C" + hexadecimal; break; case 13: hexadecimal = "D" + hexadecimal; break; case 14: hexadecimal = "E" + hexadecimal; break; case 15: hexadecimal = "F" + hexadecimal; break; default: hexadecimal = value + hexadecimal; break; } dec /= 16; } return hexadecimal; } public static void main( String args[]) { NumberSystem apps = new NumberSystem(); apps.displayConversion(); } }

What is the hexadecimal for 11111011010?

If the above is decimal then in hexadecimal it is 2964492C2. If it is binary then in hexadecimal it is 7DA. If it is octal then in hexadecimal it is 49241208.

Write a program that prints a table of the binary octal and hexadecimal equivalents of the decimal numbers in the range 1 through to 256?

import java.util.Scanner; public class NumberSystem { public void displayConversion() { Scanner input = new Scanner(System.in); System.out.printf("%-20s%-20s%-20s%-20s\n", "Decimal", "Binary", "Octal", "Hexadecimal"); for ( int i = 1; i <= 256; i++ ) { String binary = Integer.toBinaryString(i); String octal = Integer.toOctalString(i); String hexadecimal = Integer.toHexString(i); System.out.format("%-20d%-20s%-20s%-20s\n", i, binary, octal, hexadecimal); } } // returns a string representation of the decimal number in binary public String toBinaryString( int dec ) { String binary = " "; while (dec >= 1 ) { int value = dec % 2; binary = value + binary; dec /= 2; } return binary; } //returns a string representation of the number in octal public String toOctalString( int dec ) { String octal = " "; while ( dec >= 1 ) { int value = dec % 8; octal = value + octal; dec /= 8; } return octal; } public String toHexString( int dec ) { String hexadecimal = " "; while ( dec >= 1 ) { int value = dec % 16; switch (value) { case 10: hexadecimal = "A" + hexadecimal; break; case 11: hexadecimal = "B" + hexadecimal; break; case 12: hexadecimal = "C" + hexadecimal; break; case 13: hexadecimal = "D" + hexadecimal; break; case 14: hexadecimal = "E" + hexadecimal; break; case 15: hexadecimal = "F" + hexadecimal; break; default: hexadecimal = value + hexadecimal; break; } dec /= 16; } return hexadecimal; } public static void main( String args[]) { NumberSystem apps = new NumberSystem(); apps.displayConversion(); } }

What are four common number formats?

Decimal, binary, octal and hexadecimal.

What is binary hexadecimal and octadecimal numbers?

They are all different ways of representing numbers. For example the number 14 in binary would be 00001110, in octal it would be '16', and in hex would be represented by the '0E'

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