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Numeral Systems 101
Numeral Systems 101
Deciphering Challenge
There is another commonly used numeral system called hexadecimal. If you learn web programming or something related to that, you should come across RGB Color Codes Chart that is implemented using hex(hexadecimal system) to help computers define different colors. Red -> #FF0000
White->#FFFFFF
Yellow->#FFFF00
and the same representation for each color.
Hex is a representation of 4 bits. Computer professionals even consider reading the hexadecimal number easier than decimal one and binary. As I said previously it is a beautiful way of storing data not in a binary way, but to group it; hence, hexadecimal numerical system is implemented.
This one consists of 16 digits, 0->0
1->1
2->2
3->3
4->4
5->5
6->6
7->7
8->8
9->9
. I suppose you start guessing the outcome of this sequence and involve 10 as the 10th number of this continuity, but you will be taken aback because 10->A
11->B
12->C
13->D
14->E
15->F
But to convert it to decimal one, you should identify the dictionary, due to the reason that dictionaries are a superior way to hold information with a key. In the previous steps all of the keys conformed to numbers, but here due to the letters dictionary should be implemented.
Rule
I reckon that you are familiar with different algorithms so it seems to me that you can guess that here(in the hexadecimal numeral system) we are going to multiply each digit by 16 raised to the power of index. Obviously, we can not multiply the letter; therefore, we should find the math for it. For instance ABC10
-> (A)10x16^4
+(B)11x16^3
+(C)12x16^2
+1x16^1
+0x16^0
=655360
+45056
+3072
+16
+0
=703504
# Implementing the dictionary dictionary = {"0": 0, "1": 1, "2": 2, "3": 3, "4": 4, "5": 5, "6": 6, "7": 7, "8": 8, "9": 9, "A": 10 , "B": 11, "C": 12, "D": 13, "E": 14, "F": 15} # Definig hexadecimal number hexadecimal_number = "ABC10" # The text should be realised here due to the reason that further the binary number will be changed print("The number in hexadecimal numeral system is:", hexadecimal_number) # Definig decimal number decimal_number = 0 # Define variable for storing the power power = 0 #the loop will iterate through the string hexadecimal_number for digit in hexadecimal_number: # Taking the very last character digit = hexadecimal_number[-1] # Multyplying the last digit to 16 raised the relevant power result = dictionary[digit] * pow(16, power) # Adding result to the decimal number decimal_number = decimal_number+result # Increasing power by 1 power = power + 1 # Removing the last sharacter of the string hexadecimal_number = hexadecimal_number[0:-1] # Printing the result print("The number in decimal numeral system is:", decimal_number)
Завдання
I appreciate your desire to study, way to go! Write the code that will decode the number 'CAFE' from the hex numeral system to decimal. Follow this algorithm:
- Print the
hexadecimal number
. - Assign
0
to thedecimal_number
variable. - Define the variable
power
for storing the power and assign0
to it. - Define the loop which iterates through the
hexadecimal_number
string. - Get the very last character of
hexadecimal_number
string. - Raise
16
to the relevantpower
and multiply it by the digit. - Increase
power
by 1. - Remove the last character of the string
hexadecimal_number
.
Дякуємо за ваш відгук!
Deciphering Challenge
There is another commonly used numeral system called hexadecimal. If you learn web programming or something related to that, you should come across RGB Color Codes Chart that is implemented using hex(hexadecimal system) to help computers define different colors. Red -> #FF0000
White->#FFFFFF
Yellow->#FFFF00
and the same representation for each color.
Hex is a representation of 4 bits. Computer professionals even consider reading the hexadecimal number easier than decimal one and binary. As I said previously it is a beautiful way of storing data not in a binary way, but to group it; hence, hexadecimal numerical system is implemented.
This one consists of 16 digits, 0->0
1->1
2->2
3->3
4->4
5->5
6->6
7->7
8->8
9->9
. I suppose you start guessing the outcome of this sequence and involve 10 as the 10th number of this continuity, but you will be taken aback because 10->A
11->B
12->C
13->D
14->E
15->F
But to convert it to decimal one, you should identify the dictionary, due to the reason that dictionaries are a superior way to hold information with a key. In the previous steps all of the keys conformed to numbers, but here due to the letters dictionary should be implemented.
Rule
I reckon that you are familiar with different algorithms so it seems to me that you can guess that here(in the hexadecimal numeral system) we are going to multiply each digit by 16 raised to the power of index. Obviously, we can not multiply the letter; therefore, we should find the math for it. For instance ABC10
-> (A)10x16^4
+(B)11x16^3
+(C)12x16^2
+1x16^1
+0x16^0
=655360
+45056
+3072
+16
+0
=703504
# Implementing the dictionary dictionary = {"0": 0, "1": 1, "2": 2, "3": 3, "4": 4, "5": 5, "6": 6, "7": 7, "8": 8, "9": 9, "A": 10 , "B": 11, "C": 12, "D": 13, "E": 14, "F": 15} # Definig hexadecimal number hexadecimal_number = "ABC10" # The text should be realised here due to the reason that further the binary number will be changed print("The number in hexadecimal numeral system is:", hexadecimal_number) # Definig decimal number decimal_number = 0 # Define variable for storing the power power = 0 #the loop will iterate through the string hexadecimal_number for digit in hexadecimal_number: # Taking the very last character digit = hexadecimal_number[-1] # Multyplying the last digit to 16 raised the relevant power result = dictionary[digit] * pow(16, power) # Adding result to the decimal number decimal_number = decimal_number+result # Increasing power by 1 power = power + 1 # Removing the last sharacter of the string hexadecimal_number = hexadecimal_number[0:-1] # Printing the result print("The number in decimal numeral system is:", decimal_number)
Завдання
I appreciate your desire to study, way to go! Write the code that will decode the number 'CAFE' from the hex numeral system to decimal. Follow this algorithm:
- Print the
hexadecimal number
. - Assign
0
to thedecimal_number
variable. - Define the variable
power
for storing the power and assign0
to it. - Define the loop which iterates through the
hexadecimal_number
string. - Get the very last character of
hexadecimal_number
string. - Raise
16
to the relevantpower
and multiply it by the digit. - Increase
power
by 1. - Remove the last character of the string
hexadecimal_number
.
Дякуємо за ваш відгук!
Deciphering Challenge
There is another commonly used numeral system called hexadecimal. If you learn web programming or something related to that, you should come across RGB Color Codes Chart that is implemented using hex(hexadecimal system) to help computers define different colors. Red -> #FF0000
White->#FFFFFF
Yellow->#FFFF00
and the same representation for each color.
Hex is a representation of 4 bits. Computer professionals even consider reading the hexadecimal number easier than decimal one and binary. As I said previously it is a beautiful way of storing data not in a binary way, but to group it; hence, hexadecimal numerical system is implemented.
This one consists of 16 digits, 0->0
1->1
2->2
3->3
4->4
5->5
6->6
7->7
8->8
9->9
. I suppose you start guessing the outcome of this sequence and involve 10 as the 10th number of this continuity, but you will be taken aback because 10->A
11->B
12->C
13->D
14->E
15->F
But to convert it to decimal one, you should identify the dictionary, due to the reason that dictionaries are a superior way to hold information with a key. In the previous steps all of the keys conformed to numbers, but here due to the letters dictionary should be implemented.
Rule
I reckon that you are familiar with different algorithms so it seems to me that you can guess that here(in the hexadecimal numeral system) we are going to multiply each digit by 16 raised to the power of index. Obviously, we can not multiply the letter; therefore, we should find the math for it. For instance ABC10
-> (A)10x16^4
+(B)11x16^3
+(C)12x16^2
+1x16^1
+0x16^0
=655360
+45056
+3072
+16
+0
=703504
# Implementing the dictionary dictionary = {"0": 0, "1": 1, "2": 2, "3": 3, "4": 4, "5": 5, "6": 6, "7": 7, "8": 8, "9": 9, "A": 10 , "B": 11, "C": 12, "D": 13, "E": 14, "F": 15} # Definig hexadecimal number hexadecimal_number = "ABC10" # The text should be realised here due to the reason that further the binary number will be changed print("The number in hexadecimal numeral system is:", hexadecimal_number) # Definig decimal number decimal_number = 0 # Define variable for storing the power power = 0 #the loop will iterate through the string hexadecimal_number for digit in hexadecimal_number: # Taking the very last character digit = hexadecimal_number[-1] # Multyplying the last digit to 16 raised the relevant power result = dictionary[digit] * pow(16, power) # Adding result to the decimal number decimal_number = decimal_number+result # Increasing power by 1 power = power + 1 # Removing the last sharacter of the string hexadecimal_number = hexadecimal_number[0:-1] # Printing the result print("The number in decimal numeral system is:", decimal_number)
Завдання
I appreciate your desire to study, way to go! Write the code that will decode the number 'CAFE' from the hex numeral system to decimal. Follow this algorithm:
- Print the
hexadecimal number
. - Assign
0
to thedecimal_number
variable. - Define the variable
power
for storing the power and assign0
to it. - Define the loop which iterates through the
hexadecimal_number
string. - Get the very last character of
hexadecimal_number
string. - Raise
16
to the relevantpower
and multiply it by the digit. - Increase
power
by 1. - Remove the last character of the string
hexadecimal_number
.
Дякуємо за ваш відгук!
There is another commonly used numeral system called hexadecimal. If you learn web programming or something related to that, you should come across RGB Color Codes Chart that is implemented using hex(hexadecimal system) to help computers define different colors. Red -> #FF0000
White->#FFFFFF
Yellow->#FFFF00
and the same representation for each color.
Hex is a representation of 4 bits. Computer professionals even consider reading the hexadecimal number easier than decimal one and binary. As I said previously it is a beautiful way of storing data not in a binary way, but to group it; hence, hexadecimal numerical system is implemented.
This one consists of 16 digits, 0->0
1->1
2->2
3->3
4->4
5->5
6->6
7->7
8->8
9->9
. I suppose you start guessing the outcome of this sequence and involve 10 as the 10th number of this continuity, but you will be taken aback because 10->A
11->B
12->C
13->D
14->E
15->F
But to convert it to decimal one, you should identify the dictionary, due to the reason that dictionaries are a superior way to hold information with a key. In the previous steps all of the keys conformed to numbers, but here due to the letters dictionary should be implemented.
Rule
I reckon that you are familiar with different algorithms so it seems to me that you can guess that here(in the hexadecimal numeral system) we are going to multiply each digit by 16 raised to the power of index. Obviously, we can not multiply the letter; therefore, we should find the math for it. For instance ABC10
-> (A)10x16^4
+(B)11x16^3
+(C)12x16^2
+1x16^1
+0x16^0
=655360
+45056
+3072
+16
+0
=703504
# Implementing the dictionary dictionary = {"0": 0, "1": 1, "2": 2, "3": 3, "4": 4, "5": 5, "6": 6, "7": 7, "8": 8, "9": 9, "A": 10 , "B": 11, "C": 12, "D": 13, "E": 14, "F": 15} # Definig hexadecimal number hexadecimal_number = "ABC10" # The text should be realised here due to the reason that further the binary number will be changed print("The number in hexadecimal numeral system is:", hexadecimal_number) # Definig decimal number decimal_number = 0 # Define variable for storing the power power = 0 #the loop will iterate through the string hexadecimal_number for digit in hexadecimal_number: # Taking the very last character digit = hexadecimal_number[-1] # Multyplying the last digit to 16 raised the relevant power result = dictionary[digit] * pow(16, power) # Adding result to the decimal number decimal_number = decimal_number+result # Increasing power by 1 power = power + 1 # Removing the last sharacter of the string hexadecimal_number = hexadecimal_number[0:-1] # Printing the result print("The number in decimal numeral system is:", decimal_number)
Завдання
I appreciate your desire to study, way to go! Write the code that will decode the number 'CAFE' from the hex numeral system to decimal. Follow this algorithm:
- Print the
hexadecimal number
. - Assign
0
to thedecimal_number
variable. - Define the variable
power
for storing the power and assign0
to it. - Define the loop which iterates through the
hexadecimal_number
string. - Get the very last character of
hexadecimal_number
string. - Raise
16
to the relevantpower
and multiply it by the digit. - Increase
power
by 1. - Remove the last character of the string
hexadecimal_number
.