01. FirstDay.md

1+1

2

x = 30

print(x)

30

p = 100
r = 10
t = 5
interest = p*r*t/100

interest

50.0

Q1: Choose your base between 3 and 13

Q2: Add/Substraction single digit and multiple numbers in your number system

Q3: Prepare a table of single digit multiplications in your number system.

Q4: Multiply multiple digits in your number system

Q5: Convert 1, 10, 20, 30, 100 from your base to base10.

Q6. Write a strategy to convert a number in your base to base 10 in plain english or psedo code or code

Q7. Write a strategy to convert a number in base N to base M in plain english or psedo code or code

Q8.

Q: In base 10, how many numbers can you represent in 5 digits?

---

0 to 99999 A: 10**5

1 -> 00001
6 -> 00006

Q: In base 7, how many numbers can you represent in 5 digits?

A: 7**5

Q: In base B, how many numbers can you represent in d digits?

A: B**d

To represent to but not including 10000 in base10, how many digits do you need?

Object `need` not found.

Q: To represent number up to 9999 in base10, how many digits do you need?

A: Four Note: we are representing total 10000 numbers

Q: To represent N numbers, how many digits do we need in base 10?

A: log10(N)

Q: Compute log10 of 100
A: log10(100) = 2

import math
math.log10(10)

1.0

math.log10(1000)

3.0

math.log10(50)

1.6989700043360187

10**1.6999

50.10718442871759

# log(346)

10**2.45

281.8382931264455

10**2.6

398.1071705534973

10**2.52

331.1311214825911

10**2.53

338.84415613920237

10**2.54

346.73685045253166

10**2.539

345.93937782612204

Q: Write your own algorithm or strategy to find log10. You can use 10**x.

# Q: To represent N numbers, how many digits do we need in base B?

# A: logB(N)