* SPICE netlist
V1 Vcc 0 12
V2 Signal_1 0 PULSE(0 12 0 1n 1n 1 2 1)
V3 Signal_2 0 PULSE(0 12 0.5 1n 1n 1 2 1)
Q1 Vcc N002 N003 0 2N3904
Q2 N003 N005 AND_out 0 2N3904
R1 AND_out 0 4.7k
R2 N002 Signal_1 10k
R3 N005 Signal_2 10k
Q3 Vcc N001 OR_out 0 2N3904
Q4 Vcc N004 OR_out 0 2N3904
R4 OR_out 0 4.7k
R5 N001 Signal_1 10k
R6 N004 Signal_2 10k
Q5 NAND_out N007 N008 0 2N3904
Q6 N008 N009 0 0 2N3904
R7 Vcc NAND_out 4.7k
R8 N007 Signal_1 10k
R9 N009 Signal_2 10k
R10 N006 Signal_1 10k
R11 N006 Signal_2 10k
Q7 NOR_out N006 0 0 2N3904
R12 Vcc NOR_out 4.7k
.tran 3

* LTspice schematic (.asc)
Version 4
SHEET 1 1200 1504
WIRE -600 -720 -600 -752
WIRE -456 -720 -456 -736
WIRE -120 -720 -120 -736
WIRE -600 -608 -600 -640
WIRE -456 -608 -456 -640
WIRE -120 -608 -120 -640
WIRE 408 -416 408 -448
WIRE -232 -368 -232 -400
WIRE 216 -368 104 -368
WIRE 344 -368 296 -368
WIRE -424 -320 -504 -320
WIRE -296 -320 -344 -320
WIRE 504 -320 408 -320
WIRE 408 -224 408 -240
WIRE -232 -208 -232 -272
WIRE 216 -176 104 -176
WIRE 344 -176 296 -176
WIRE -424 -160 -504 -160
WIRE -296 -160 -344 -160
WIRE 408 -112 408 -128
WIRE 504 -112 504 -320
WIRE 504 -112 408 -112
WIRE 600 -112 504 -112
WIRE -232 -80 -232 -112
WIRE -120 -80 -232 -80
WIRE 408 -80 408 -112
WIRE -232 -64 -232 -80
WIRE 408 48 408 0
WIRE -232 64 -232 16
WIRE -232 288 -232 240
WIRE 424 336 424 240
WIRE -232 416 -232 368
WIRE -120 416 -232 416
WIRE -232 448 -232 416
WIRE 216 448 136 448
WIRE 328 448 296 448
WIRE 424 448 424 416
WIRE 520 448 424 448
WIRE 424 480 424 448
WIRE -424 496 -504 496
WIRE -296 496 -344 496
WIRE 328 528 328 448
WIRE 360 528 328 528
WIRE -232 608 -232 544
WIRE 216 608 136 608
WIRE 328 608 328 528
WIRE 328 608 296 608
WIRE -424 656 -504 656
WIRE -296 656 -344 656
WIRE 424 672 424 576
WIRE -232 752 -232 704
FLAG -456 -608 0
FLAG -600 -608 0
FLAG -600 -752 Vcc
FLAG -120 -608 0
FLAG -456 -736 Signal_1
FLAG -120 -736 Signal_2
FLAG -232 64 0
FLAG -232 -400 Vcc
FLAG 408 48 0
FLAG 408 -448 Vcc
FLAG -504 -320 Signal_1
FLAG -504 -160 Signal_2
FLAG 104 -176 Signal_2
FLAG 104 -368 Signal_1
FLAG 408 -240 Vcc
FLAG -232 752 0
FLAG -232 240 Vcc
FLAG -504 496 Signal_1
FLAG -504 656 Signal_2
FLAG -120 416 NAND_out
FLAG -120 -80 AND_out
FLAG 600 -112 OR_out
FLAG 136 448 Signal_1
FLAG 136 608 Signal_2
FLAG 424 672 0
FLAG 424 240 Vcc
FLAG 520 448 NOR_out
SYMBOL voltage -600 -736 R0
SYMATTR InstName V1
SYMATTR Value 12
SYMBOL voltage -456 -736 R0
SYMATTR InstName V2
SYMATTR Value PULSE(0 12 0 1n 1n 1 2 1)
SYMBOL voltage -120 -736 R0
SYMATTR InstName V3
SYMATTR Value PULSE(0 12 0.5 1n 1n 1 2 1)
SYMBOL npn -296 -368 R0
SYMATTR InstName Q1
SYMATTR Value 2N3904
SYMBOL npn -296 -208 R0
SYMATTR InstName Q2
SYMATTR Value 2N3904
SYMBOL res -248 -80 R0
SYMATTR InstName R1
SYMATTR Value 4.7k
SYMBOL res -328 -336 R90
SYMATTR InstName R2
SYMATTR Value 10k
SYMBOL res -328 -176 R90
SYMATTR InstName R3
SYMATTR Value 10k
SYMBOL npn 344 -416 R0
SYMATTR InstName Q3
SYMATTR Value 2N3904
SYMBOL npn 344 -224 R0
SYMATTR InstName Q4
SYMATTR Value 2N3904
SYMBOL res 392 -96 R0
SYMATTR InstName R4
SYMATTR Value 4.7k
SYMBOL res 312 -384 R90
SYMATTR InstName R5
SYMATTR Value 10k
SYMBOL res 312 -192 R90
SYMATTR InstName R6
SYMATTR Value 10k
SYMBOL npn -296 448 R0
SYMATTR InstName Q5
SYMATTR Value 2N3904
SYMBOL npn -296 608 R0
SYMATTR InstName Q6
SYMATTR Value 2N3904
SYMBOL res -248 272 R0
SYMATTR InstName R7
SYMATTR Value 4.7k
SYMBOL res -328 480 R90
SYMATTR InstName R8
SYMATTR Value 10k
SYMBOL res -328 640 R90
SYMATTR InstName R9
SYMATTR Value 10k
SYMBOL res 312 432 R90
SYMATTR InstName R10
SYMATTR Value 10k
SYMBOL res 312 592 R90
SYMATTR InstName R11
SYMATTR Value 10k
SYMBOL npn 360 480 R0
SYMATTR InstName Q7
SYMATTR Value 2N3904
SYMBOL res 408 320 R0
SYMATTR InstName R12
SYMATTR Value 4.7k