ComSci IBDP 1 Cheat Sheet

From Hexadecimal to decimal	From Binary to Hexadecimal
BF=B16¹+ F16⁰=1116¹+ 1516⁰=171+15=191	1) Find the biggest power of 16 that fits in - number of positions
	3501- 16, 256, ~~4096~~
	2) Find the biggest multiplier
	x*256, that fits? x=13=D
	3501-13*256=173
	Y16<173, 1016=A*16
	173-160=13, 13=D
	3501(2)=DAD(16)

From Binary to decimal	From Decimal to binary
Just multiplying 1 or 0 by 2 in the power of position	1) find the biggest power of 2 that fits - number of positions
10100=12⁴+12²=20	63=2⁵
	2) Find the biggest multiplier
	63-32=31, 2⁴
	31-16=15, 2³
	15-8=7, 2²
	7-4=3, 2^1
	3-2=1, 2^0
	63(10)=111111(2)

Hexadecimal to binary	Decimal to hexadecimal
1)Each number should represent the four digits in the binary number	191:16=11.R => R*16=.9375+16=15
BF => 8 digits	if the number before is less than 16, then it is the first digit, if not, then keep counting
B=11, 11=1011	11 => B
F=15, 15=1111	BF, reading backwards
BF(16)=10111111(2)

These are XAND and XOR gates, they are exclusive

So for XAND only if both inputs are identical it will give a 1

For XOR only if they are both different, it will give a 1

The gates with N, such as NOR, NAND, XNOR, NOR, XNAND, are just gates with a NOT after them

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