skeeter said:learned this method in a CS FORTRAN class a long time ago ...
Let $x=20$
1HE1C = $x^4 + 17x^3 + 14x^2 + x + 12x^0$
JDF0 = $19x^3 + 13x^2 + 15x + 0x^0$
sum ...
$x^4 + (20+16)x^3 + (20+7)x^2 + 16x + 12x^0$
$x^4 + 20x^3 + 16x^3 + 20x^2 + 7x^2 + 16x + 12x^0$
$x^4 + x^4 + 16x^3 + x^3 + 7x^2 + 16x + 12x^0$
$2x^4 + 17x^3 + 7x^2 + 16x + 12x^0$ = 2H7GC
First, C+ 0= C. That's the right-most "digit".karush said:Add in base 20
1HE1C +JDF0= 2H7GC from calculator
By hand I couldn't get the H
Using
1
2
3
4
5
6
7
8
9
A=10
B=11
C=12
D=13
E=14
F=15
G=16
H=17
I=18
J=19
K=20
Base 20, also known as vigesimal, is a number system that uses 20 digits to represent numbers. It works by using the digits 0-9 and the letters A-J to represent the numbers 0-19. After reaching the number 19, the next number is represented by adding a new place value to the left, similar to how the decimal system works.
To add numbers in base 20, you can follow the same steps as adding in decimal. Start by lining up the numbers in columns based on their place values. Then, add the digits in each column, carrying over to the next column if the sum is greater than 19. Finally, convert any numbers greater than 19 to the corresponding letter value.
1HE1C in base 20 is equal to 8,604 in decimal. This can be calculated by multiplying the digits by their corresponding place values (1x20^4 + 15x20^3 + 14x20^2 + 1x20^1 + 12x20^0) and adding them together.
To convert a number from base 20 to decimal, you can use the expanded form method. Write out the number in expanded form, with each digit multiplied by its corresponding place value. Then, add all the terms together to get the decimal value.
2H7GC in base 20 is equal to 36,932 in decimal. This can be calculated by multiplying the digits by their corresponding place values (2x20^4 + 17x20^3 + 7x20^2 + 11x20^1 + 12x20^0) and adding them together.