Number Base Conversion

Abstract

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Decimal	Binary	Hexadecimal
$0$	$0000$	$0$
$1$	$0001$	$1$
$2$	$0010$	$2$
$3$	$0011$	$3$
$4$	$0100$	$4$
$5$	$0101$	$5$
$6$	$0110$	$6$
$7$	$0111$	$7$
$8$	$1000$	$8$
$9$	$1001$	$9$
$10$	$1010$	$A$
$11$	$1011$	$B$
$12$	$1100$	$C$
$13$	$1101$	$D$
$14$	$1110$	$E$
$15$	$1111$	$F$

Decimal to Binary

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Integer

• Keep diving by 2 until we get 0
• Then the binary form counts from bottom to top

Decimal Places

• Keep multiple by 2 until we get 1 or infinite loop
• Then the binary form counts from top to bottom