Solution to The Sun Will Come Out

The set of funky strings at the top all represent words of the form "XorY", after the ASCII characters in X and Y have been bitwise-or'ed together. For instance, the first string is TOMORROW (TOM or ROW):

T 1010100   O 1001111   M 1001101
R 1010010   O 1001111   W 1010111
V 1010110   O 1001111   _ 1011111

Here are all of them:

VO_       TOM or ROW
UWW       ASS or TED    
MON       MON or AIL
T[IM     PRIM or DIAL
UMMY     TEMP or ALLY
WW         SW or DS
COO       COL or ADO
_EV       REF or MAT
CGW       ABS or BED
WOD       END or SED
_]         ST or MY
OO_V     CONF or MIST

In the second half of the puzzle, each of these parts is clued by two separate clues (e.g., the answer to two of these clues is TOM):

A good spot for sleeping	BED
A Rasta's way of addressing you, perhaps	MON
Actor Selleck	TOM
All _____ Children	MY
Ave., lane, or blvd.	ST
Belonging to number one	MY
Big hoopla	ADO
Big noisy fight	ROW
Booty	ASS
Cause distress to	AIL
Cease	END
Clock's face	DIAL
Counterpart of an odd?	END
Dir. from Simmons Hall to Westgate	SW
Div. within a sports league	CONF
Donkey	ASS
Eng.'s specialty, maybe	SW
Feel not quite good	AIL
First word of sitcom starring Calista	ALLY
Gorillas in the _____	MIST
Handheld console produced by Nintendo (abbr.)	DS
Hunger Games character	PRIM
It has "Ideas Worth Spreading"	TED
Jerry's foe	TOM
Man who arbitrates a sports game	REF
NOAA datum	TEMP
Meeting (abbr.)	CONF
Much _____ About Nothing	ADO
Muscles by the belly	ABS
One maker of soap products	DIAL
Partner	ALLY
Phenomenon caused by water droplets suspended in midair	MIST
Safety feat. in a vehicle	ABS
Sect. in a library	REF
Sequence of things	ROW
Shell command for parsing and transforming text	SED
Short-term employee	TEMP
Subpar grades	DS
Thirst, in Guadalajara	SED
Title for a miracle worker (abbr.)	ST
Titular fuzzy bear played by Seth MacFarlane	TED
Tomorrow, given that yesterday was Sat.	MON
Vertical region within a spreadsheet (abbr.)	COL
Very proper	PRIM
Wheel of Time character	MAT
Where flowers may grow	BED
Who a maj. might answer to	COL
You put it on the floor by the front door	MAT

Each clue in the list additionally has a character to the left of it. OR-ing the two characters outputs a letter. For example:

C - Actor Selleck
q - Jerry's foe

Performing an OR operation on the letters C and q yields the letter s.

C 01000011
q 01110001
s 01110011

The initial sequence of strings indicates how to order these extracted letters:

VO_      TOM or ROW     s t
UGG      ASS or TED     a r
MON      MON or AIL     t w
T[IM    PRIM or DIAL    i t
UMMY    TEMP or ALLY    h S
WW        SW or DS      H O
COL      COL or ADO     P W
_EV      REF or MAT     e n
BGW      ABS or BED     d w
W_D      END or SED     i t
_]        ST or MY      h K
OO_V    CONF or MIST    E R

The cluephrase is startwithSHOPWendwithKER, which can be combined to clue the answer, SHOPW(OR)KER.