Extra practice questions (solutions)

Processor speeds and times between clock pulses

Processor clock speed	Seconds between pulses	Nano-seconds between pulses
1.5 GHz	6.67 x 10^-10
7.14 MHz	1.4 x 10^-7
2.2 GHz	4.54 x 10^-10

Integer conversions between binary, octal, hex, decimal

Original base	Number to convert	Base to convert to
		Binary	Octal	Hex	Decimal
Binary	10111000
Octal	1751
Hex	1AA2
Decimal	123456

Conversions with fractions

Original base	Number to convert	Base to convert to
		Binary	Octal	Hex	Decimal
Binary	111.11
Octal	54.22
Hex	1AA.B
Decimal	321.5

Non-decimal addition

Number system	Example one	Example two	Example three
Binary	100010 +010010	10101010 +01111111	10110101 +01100101
Octal	177 + 12	123456 + 23457	32 +77
Hexadecimal	12 +10	2B9 + FF	ABCDEF +1234567

Non-decimal subtraction

Number system	Example one	Example two	Example three
Binary	1011 -0011	1011011 -1000101	0001 -0010
Octal	101 - 55	4510 - 227	2 -7
Hexadecimal	A1 -10	8EA2 - F2A	A -F

Non-decimal multiplication

Number system	Example one	Example two
Binary	100 * 11	1011 *101
Octal	7 *2	512 *123
Hexadecimal	A *2	2A1 *10B

Converting between unsigned binary, one’s complement and two’s complement

Number system
Unsigned Binary	One’s complement	Two’s complement	Decimal
-0111
1011
	10111
		111001
			-15