Timer + voltage level translation circuit
I've shown an LT1017 for convenience, but a cheap LM393 would work just as well, as would a cheap opamp, in which case you could eliminate the 10k pullups.

Also, both outputs swing between 12 volts and ground, but I've manipulated the plot for clarity.

The LTspice circuit list follows, just in case you want to play with the circuit.



Version 4
SHEET 1 880 680
WIRE 112 -16 -336 -16
WIRE 224 -16 112 -16
WIRE 352 -16 224 -16
WIRE 112 0 112 -16
WIRE 352 16 352 -16
WIRE 224 96 224 -16
WIRE -192 112 -224 112
WIRE 192 112 -192 112
WIRE 352 128 352 96
WIRE 352 128 256 128
WIRE 400 128 352 128
WIRE 112 144 112 80
WIRE 192 144 112 144
WIRE 224 192 224 160
WIRE 112 208 112 144
WIRE 144 208 112 208
WIRE 224 272 192 272
WIRE 352 272 224 272
WIRE 352 304 352 272
WIRE 224 384 224 272
WIRE 112 400 112 208
WIRE 192 400 112 400
WIRE 352 416 352 384
WIRE 352 416 256 416
WIRE 400 416 352 416
WIRE -224 432 -224 112
WIRE -176 432 -224 432
WIRE -64 432 -112 432
WIRE 32 432 -64 432
WIRE 192 432 32 432
WIRE -336 464 -336 -16
WIRE -304 464 -336 464
WIRE -64 480 -64 432
WIRE 112 480 112 400
WIRE -336 496 -336 464
WIRE -224 496 -224 432
WIRE 32 496 32 432
WIRE -336 608 -336 576
WIRE -224 608 -224 576
WIRE -224 608 -336 608
WIRE -64 608 -64 560
WIRE -64 608 -224 608
WIRE 32 608 32 560
WIRE 32 608 -64 608
WIRE 112 608 112 560
WIRE 112 608 32 608
WIRE 224 608 224 448
WIRE 224 608 112 608
WIRE -336 656 -336 608
FLAG 400 128 OUTA
FLAG 400 416 OUTB
FLAG 224 192 0
FLAG 144 208 2.0V
FLAG -336 656 0
FLAG 192 272 +12
FLAG -304 464 +12
FLAG -192 112 VIN
SYMBOL Comparators\\LT1017 224 128 R0
SYMATTR InstName U1
SYMBOL Comparators\\LT1017 224 416 R0
SYMATTR InstName U2
SYMBOL res 336 0 R0
SYMATTR InstName R1
SYMATTR Value 10k
SYMBOL res 336 288 R0
SYMATTR InstName R2
SYMATTR Value 10k
SYMBOL res 96 -16 R0
SYMATTR InstName R3
SYMATTR Value 10k
SYMBOL res 96 464 R0
SYMATTR InstName R4
SYMATTR Value 2k
SYMBOL diode -176 416 M90
WINDOW 0 0 32 VBottom 2
WINDOW 3 32 32 VTop 2
SYMATTR InstName D1
SYMATTR Value 1N4148
SYMBOL res -80 464 R0
SYMATTR InstName R5
SYMATTR Value 1meg
SYMBOL cap 16 496 R0
SYMATTR InstName C1
SYMATTR Value 240n
SYMBOL voltage -224 480 R0
WINDOW 3 24 96 Invisible 2
WINDOW 123 0 0 Left 2
WINDOW 39 0 0 Left 2
SYMATTR InstName V1
SYMATTR Value PULSE(0 5 0 1u 1u 1 2)
SYMBOL voltage -336 480 R0
WINDOW 123 0 0 Left 2
WINDOW 39 0 0 Left 2
SYMATTR InstName V2
SYMATTR Value 12
TEXT -328 632 Left 2 !.tran 10 uic