Python 3.8 (pre-release),  263   243   229   226   225   187   168  151 bytes

-20 bytes by applying some small modifications.
-14 bytes by emanresu A.
-3 bytes by noodle person.
-75 bytes by ASCII-only.

…Okay, what—

def f(b,c=[]): for i in b:c+=[[0,2],[1]][i] for i in range(l:=len(c),-1,-1):print(" "*i+" /"[[0,*c][i]]+" \\"[i>0]+" \\"*(i<l)+" /"[[*c,0,0][i+1]]) 

Takes input like f([1, 0, 1, 1, 0, 1, 0, 0]).
Prints the output and returns None.

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Python 3.8 (pre-release),  263   243   229   226   225   187   168   151  150 bytes

-20 bytes by applying some small modifications.
-14 bytes by emanresu A.
-3 bytes by noodle person.
-75 bytes by ASCII-only.
-1 byte by noodle person.

…Okay, what—

def f(b,c=[]): for i in b:c+=[0,1,2][i::2] for i in range(l:=len(c),-1,-1):print(" "*i+" /"[[0,*c][i]]+" \\"[i>0]+" \\"*(i<l)+" /"[[*c,0,0][i+1]]) 

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Python 3.8 (pre-release), 263 243 bytes

-20 bytes by applying some small modifications.

Darn, didn't get first…

def f(b): l=len(b:=[j for i in b for j in i and[i]or[0,2]]);S=[[" "]*-~l for i in range(l+1)] for i in range(l):S[i][l+~i]=S[i+1][l-i]="\\" for i in range(l-1):S[l-2-i][i]=S[l-i][i+2]=" "if b[i]else"/"  return"\n".join("".join(i)for i in S) 

Takes input like f([1, 0, 1, 1, 0, 1, 0, 0]).

Try it online!

Python 3.8 (pre-release),   263    243   229   226   225   187   168  151 bytes

-20 bytes by applying some small modifications.
-14 bytes by emanresu A.
-3 bytes by noodle person.
-75 bytes by ASCII-only.

…Okay, what—

def f(b,c=[]): for i in b:c+=[[0,2],[1]][i] for i in range(l:=len(c),-1,-1):print(" "*i+"  /"[[0,*c][i]]+" \\"[i>0]+" \\"*(i<l)+" /"[[*c,0,0][i+1]]) 

Takes input like f([1, 0, 1, 1, 0, 1, 0, 0]).
Prints the output and returns None.

Try it online!

Python 3.8 (pre-release), 263 bytes

Darn, didn't get first…

def f(b): l=2*len(b)-sum(b);S=[[" "]*-~l for i in range(l+1)] for i in range(l):S[i][l+~i]=S[i+1][l-i]="\\" b="".join([str(i)for i in b]).replace("0","02") for i in range(l-1):S[l-2-i][i]=S[l-i][i+2]=" "if"0"<b[i]else"/" return"\n".join("".join(i)for i in S) 

Try it online!

Python 3.8 (pre-release), 263 243 bytes

-20 bytes by applying some small modifications.

Darn, didn't get first…

def f(b): l=len(b:=[j for i in b for j in i and[i]or[0,2]]);S=[[" "]*-~l for i in range(l+1)] for i in range(l):S[i][l+~i]=S[i+1][l-i]="\\" for i in range(l-1):S[l-2-i][i]=S[l-i][i+2]=" "if b[i]else"/" return"\n".join("".join(i)for i in S) 

Takes input like f([1, 0, 1, 1, 0, 1, 0, 0]).

Try it online!