C (gcc), 40 bytes

f(char*s){while(*s)putchar(*s),*s++-48?:s++;}

48 is the ascii code of '0'

better version 43 bytes as suggested by Neil

f(char*s){while(*s)putchar(*s),s+=2-*s%2;}

another one 40 byte this time (again as suggested by Neil & VisualMelon) :)

f(char*s){for(;*s;s+=50-*s)putchar(*s);}

Try it online!

C (gcc), 35 bytes

f(char*s){while(*s)putchar(*s),*s++-48?:s++;}

48 is the ascii code of '0'

better version 43 bytes as suggested by Neil

f(char*s){while(*s)putchar(*s),s+=2-*s%2;}

another one 40 byte this time (again as suggested by Neil & VisualMelon) :)

f(char*s){for(;*s;s+=50-*s)putchar(*s);}

and then 35 bytes thanks to Khaled.K

f(char*s){*s&&f(s+50-putchar(*s));}

Try it online!

C (gcc), 41 bytes

f(char*s){while(*s)putchar(*s),*s++-48?:s++;}

48 is the ascii code of '0'

better version 43 bytes as suggested by Neil

f(char*s){while(*s)putchar(*s),s+=2-*s%2;}

another one 41 byte this time (again as suggested by Neil) :)

f(char*s){for(;*s;s+=2-*s%2)putchar(*s);}

Try it online!

C (gcc), 40 bytes

f(char*s){while(*s)putchar(*s),*s++-48?:s++;}

48 is the ascii code of '0'

better version 43 bytes as suggested by Neil

f(char*s){while(*s)putchar(*s),s+=2-*s%2;}

another one 40 byte this time (again as suggested by Neil & VisualMelon) :)

f(char*s){for(;*s;s+=50-*s)putchar(*s);}

Try it online!

C, 43 bytes

f(char*s){while(*s)putchar(*s),*s++-48?:s++;}

48 is the ascii code of '0'

better version 43 bytes as suggested by Neil

f(char*s){while(*s)putchar(*s),s+=2-*s%2;}

C (gcc), 41 bytes

f(char*s){while(*s)putchar(*s),*s++-48?:s++;}

48 is the ascii code of '0'

better version 43 bytes as suggested by Neil

f(char*s){while(*s)putchar(*s),s+=2-*s%2;}

another one 41 byte this time (again as suggested by Neil) :)

f(char*s){for(;*s;s+=2-*s%2)putchar(*s);}

Try it online!