Nick Johnson												HW #1

2.1)	a) highest 999.999, lowest -999.999
	b) .001

2.2)	a) 10 1111
	b) 1001 1011
	c) 531
	d) 22.5
	e) 28.21301

2.3)	a) 35
	b) 101
	c) 1B
	d) 11 0111
	e) 1E.2

2.7)	8

2.8)	0

2.9)	More in 2's complement

2.10)					||	5-bit signed magnitude 	||	5-bit excess 16
	===================================================================
	Largest Number		||		+15			||		+15
	Most negative number	||		-15			||		-16
	No. of distinct numbers	||		31			||		32


3.1)	a) 11101
	b) 11011 overflow
	c) 11110 overflow

3.2)	1001 overflow

3.3)	a) Two's – 11.0	overflow
	b) One's – 0011.1	overflow


A.4) 		A	||	B	||	C	||||	F	||	G
	=======================================================
		1	||	1	||	1	||||	1	||	0
		1	||	1	||	0	||||	1	||	1
		1	||	0	||	1	||||	1	||	0
		1	||	0	||	0	||||	0	||	0
		0	||	1	||	1	||||	1	||	0
		0	||	1	||	0	||||	0	||	1
		0	||	0	||	1	||||	1	||	0
		0	||	0	||	0	||||	0	||	1


A.7)			        _    _			  _   _
	A || B || C |||| ABC || ABC || f(A,B,C)=ABC + ABC
	=======================================================
	1  || 1 || 1  |||| 	1    ||	0   || 1
	1  || 1 || 0  |||| 	0    ||	0   || 0
	1  || 0 || 1  |||| 	0    ||	0   || 0
	1  || 0 || 0  |||| 	0    ||	0   || 0
	0  || 1 || 1  |||| 	0    ||	0   || 0
	0  || 1 || 0  |||| 	0    ||	1   || 1
	0  || 0 || 1  |||| 	0    ||	0   || 0
	0  || 0 || 0  |||| 	0    ||	0   || 0

	A || B || C |||| (A xor C) || g(A,B,C)=(A xor C)B
	=======================================================
	1  || 1 || 1  |||| 	    0       || 0
	1  || 1 || 0  |||| 	    1       || 1
	1  || 0 || 1  |||| 	    0       || 0
	1  || 0 || 0  ||||	    1       || 0
	0  || 1 || 1  |||| 	    1       || 1
	0  || 1 || 0  |||| 	    0       || 0
	0  || 0 || 1  |||| 	    1       || 0
	0  || 0 || 0  |||| 	    0       || 0

	No, they are not logically equivalent because they have different truth values.

A.8)	 ____	     _ _
	(A+B)C = ABC

A.9) circuit on 222_A9circuit.jpg