Showing n! > 2n When n Is A Power of Two

Which is bigger, 64! or 264? 64! is, because it follows from a proof by induction for any integer n greater than or equal to 4. It’s also easy to just reason that 64! is bigger: 264 is 64 factors of 2, whereas 64! has 64 factors, except all but one of them (1) are 2 or greater.

When I saw this problem though I wondered if I could solve it in another way: Could the factors of two alone in 64! be greater than 264? As it turns out, almost.

Continue reading “Showing n! > 2n When n Is A Power of Two”

Hexadecimal Numbers: Uppercase or Lowercase?

Do you prefer hexadecimal numbers written with uppercase letters (A-F) or lowercase letters (a-f)?

For example, do you prefer the integer 3102965292 written as B8F37E2C or b8f37e2c? Do you prefer the floating-point number 126.976 written as 0x1.fbe76cp6 or 0x1.FBE76Cp6?

I ran this poll on my sidebar, and after 96 responses, about 70% are “prefer uppercase” and about 9% are “prefer lowercase”. What do you think? (For the “depends on context” answer I meant things other than numeric values, like the memory representation of strings. However, for the purposes of this article, please answer with just numeric values in mind.)

Continue reading “Hexadecimal Numbers: Uppercase or Lowercase?”

Another NaN In the Wild

I see these from time to time, but I don’t always capture them; here’s one I saw recently while playing a podcast:

A NaN in an ad in the app Castbox (partial image)
A NaN in an ad in the app Castbox (click for full image).

(According to Castbox, this is an error in the ad and is out of their control.)

A Simple Binary To Decimal Converter App In Jetpack Compose

I’ve been learning Jetpack Compose and Kotlin (and Android for that matter) so I decided to create a simple binary conversion app to demonstrate how easy it is to create (at least basic) UI in Compose.

https://www.exploringbinary.com/wp-content/uploads/Android.ByteValueOfDecimal67.png
Byte to Decimal Converter Demo App (Pixel 4 Emulator)

(This app has been updated; see Jetpack Compose Byte Converter App: 2022 Version.)

Continue reading “A Simple Binary To Decimal Converter App In Jetpack Compose”

Copyright © 2008-2024 Exploring Binary

Privacy policy

Powered by WordPress

css.php